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GCF of 9844/134, 1608/976

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 9844/134, 1608/976 i.e 4/65392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9844/134, 1608/976.

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 9844/134,1608/976?

Given fractions are 9844/134,1608/976

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 9844/134,1608/976, numerators are 9844,1608

Denominators are 134,976

The GCF of 9844,1608 is 4 .

LCM of 134,976 is 65392.

The greatest common factor of 9844/134,1608/976 = [GCF of 9844,1608]/[LCM of 134,976]= 4/65392

Therefore, the GCF of 9844/134,1608/976 is 4/65392.

Greatest Common Factor of 9844,1608

To find the highest common factor of 9844,1608, we have to find the factors of both numbers and list the highest common factor.

The factors of 9844 are 1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844

The factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608

The HCF of 9844,1608 is 4.

Lets's calculate GCF of 9844,1608

Greatest Common Factor (GCF) of 9844,1608 By Common Division

2 9844, 1608
2 4922, 804
2461, 402

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9844,1608 By Matching Biggest Common Factor Method

Greatest Common Factor of 9844,1608 By Matching Biggest Common Factor Method

Now, list down the factors of 9844

:

1,2,4,23,46,92,107,214,428,2461,4922,9844

Now, list down the factors of 1608

:

1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608

Greatest Common Factor

We found the factors 9844,1608 . The biggest common factor number is the GCF number.
So the greatest common factor 9844,1608 is 4.


Lets's calculate LCM of 134,976

Lowest Common Multiple of 134,976 using Common Division

2 134, 976
67, 488

∴ So the LCM of the given numbers is 2 x 67 x 488 = 65392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65392

Therefore, the GCF of Fractions 9844/134,1608/976 is 4/65392

Least Common Multiple of 134,976 with GCF Formula

Least Common Multiple of 134,976 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 134,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,976) = 2

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

GCF(134,976) x common factors =2 x 1 = 2

LCM(134,976) = ( 134 × 976 ) / 2

LCM(134,976) = 130784 / 2

LCM(134,976) = 65392


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9844/134, 1608/976

1. What is the HCF of 9844,1608?

The HCF of 9844,1608 is 4

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 9844/134, 1608/976?

Answer: GCF of Numerators as per given numbers 9844/134, 1608/976 is

GCF of Numerators i.e. for 9844,1608 is 4

LCM of denominators i.e. for 134,976 is 65392.

Thus, GCF of Fractions is 4/65392.Finally, GCF of Fractions for 9844/134, 1608/976 is 4/65392.