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GCF of 672/992, 9504/3606

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 672/992, 9504/3606 i.e 96/1788576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/992, 9504/3606.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 672/992,9504/3606?

Given fractions are 672/992,9504/3606

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 672/992,9504/3606, numerators are 672,9504

Denominators are 992,3606

The GCF of 672,9504 is 96 .

LCM of 992,3606 is 1788576.

The greatest common factor of 672/992,9504/3606 = [GCF of 672,9504]/[LCM of 992,3606]= 96/1788576

Therefore, the GCF of 672/992,9504/3606 is 96/1788576.

Greatest Common Factor of 672,9504

To find the highest common factor of 672,9504, we have to find the factors of both numbers and list the highest common factor.

The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504

The HCF of 672,9504 is 96.

Lets's calculate GCF of 672,9504

Greatest Common Factor (GCF) of 672,9504 By Common Division

2 672, 9504
2 336, 4752
2 168, 2376
2 84, 1188
2 42, 594
3 21, 297
7, 99

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96

Greatest Common Factor of 672,9504 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,9504 By Matching Biggest Common Factor Method

Now, list down the factors of 672

:

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Now, list down the factors of 9504

:

1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504

Greatest Common Factor

We found the factors 672,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 672,9504 is 96.


Lets's calculate LCM of 992,3606

Lowest Common Multiple of 992,3606 using Common Division

2 992, 3606
496, 1803

∴ So the LCM of the given numbers is 2 x 496 x 1803 = 1788576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 96/1788576

Therefore, the GCF of Fractions 672/992,9504/3606 is 96/1788576

Least Common Multiple of 992,3606 with GCF Formula

Least Common Multiple of 992,3606 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 992,3606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,3606) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(992,3606) x common factors =2 x 1 = 2

LCM(992,3606) = ( 992 × 3606 ) / 2

LCM(992,3606) = 3577152 / 2

LCM(992,3606) = 1788576


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 672/992, 9504/3606

1. What is the HCF of 672,9504?

The HCF of 672,9504 is 96

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 672/992, 9504/3606?

Answer: GCF of Numerators as per given numbers 672/992, 9504/3606 is

GCF of Numerators i.e. for 672,9504 is 96

LCM of denominators i.e. for 992,3606 is 1788576.

Thus, GCF of Fractions is 96/1788576.Finally, GCF of Fractions for 672/992, 9504/3606 is 96/1788576.