How to Find GCF of 672/19, 912/358?

GCF of 672/19, 912/358

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 672/19, 912/358 i.e 48/6802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/19, 912/358.

Enter two or more fractions separated by "commas"

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

What is the GCF of 672/19,912/358?

Given fractions are 672/19,912/358

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 672/19,912/358, numerators are 672,912

Denominators are 19,358

The GCF of 672,912 is 48 .

LCM of 19,358 is 6802.

The greatest common factor of 672/19,912/358 = [GCF of 672,912]/[LCM of 19,358]= 48/6802

Therefore, the GCF of 672/19,912/358 is 48/6802.

Greatest Common Factor of 672,912

To find the highest common factor of 672,912, 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 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

The HCF of 672,912 is 48.

Lets's calculate GCF of 672,912

Greatest Common Factor (GCF) of 672,912 By Common Division

2	672, 912
2	336, 456
2	168, 228
2	84, 114
3	42, 57
	14, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 672,912 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 912

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 672,912 . The biggest common factor number is the GCF number.
So the greatest common factor 672,912 is 48.

Lets's calculate LCM of 19,358

Lowest Common Multiple of 19,358 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/6802

Therefore, the GCF of Fractions 672/19,912/358 is 48/6802

Least Common Multiple of 19,358 with GCF Formula

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

We need to calculate greatest common factor of 19,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,358) = 1

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

GCF(19,358) x common factors =1 x 1 = 1

LCM(19,358) = ( 19 × 358 ) / 1

LCM(19,358) = 6802 / 1

LCM(19,358) = 6802

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 672/19, 912/358

1. What is the HCF of 672,912?

The HCF of 672,912 is 48

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 672/19, 912/358?

Answer: GCF of Numerators as per given numbers 672/19, 912/358 is

GCF of Numerators i.e. for 672,912 is 48

LCM of denominators i.e. for 19,358 is 6802.

Thus, GCF of Fractions is 48/6802.Finally, GCF of Fractions for 672/19, 912/358 is 48/6802.