How to Find GCF of 2696/394, 1232/854?

GCF of 2696/394, 1232/854

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 2696/394, 1232/854 i.e 8/168238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2696/394, 1232/854.

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 2696/394,1232/854?

Given fractions are 2696/394,1232/854

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 2696/394,1232/854, numerators are 2696,1232

Denominators are 394,854

The GCF of 2696,1232 is 8 .

LCM of 394,854 is 168238.

The greatest common factor of 2696/394,1232/854 = [GCF of 2696,1232]/[LCM of 394,854]= 8/168238

Therefore, the GCF of 2696/394,1232/854 is 8/168238.

Greatest Common Factor of 2696,1232

To find the highest common factor of 2696,1232, we have to find the factors of both numbers and list the highest common factor.

The factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696

The factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232

The HCF of 2696,1232 is 8.

Lets's calculate GCF of 2696,1232

Greatest Common Factor (GCF) of 2696,1232 By Common Division

2	2696, 1232
2	1348, 616
2	674, 308
	337, 154

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2696,1232 By Matching Biggest Common Factor Method

Now, list down the factors of 2696

1,2,4,8,337,674,1348,2696

Now, list down the factors of 1232

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Greatest Common Factor

We found the factors 2696,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 2696,1232 is 8.

Lets's calculate LCM of 394,854

Lowest Common Multiple of 394,854 using Common Division

2	394, 854
	197, 427

∴ So the LCM of the given numbers is 2 x 197 x 427 = 168238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/168238

Therefore, the GCF of Fractions 2696/394,1232/854 is 8/168238

Least Common Multiple of 394,854 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 394,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,854) = 2

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

GCF(394,854) x common factors =2 x 1 = 2

LCM(394,854) = ( 394 × 854 ) / 2

LCM(394,854) = 336476 / 2

LCM(394,854) = 168238

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2696/394, 1232/854

1. What is the HCF of 2696,1232?

The HCF of 2696,1232 is 8

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 2696/394, 1232/854?

Answer: GCF of Numerators as per given numbers 2696/394, 1232/854 is

GCF of Numerators i.e. for 2696,1232 is 8

LCM of denominators i.e. for 394,854 is 168238.

Thus, GCF of Fractions is 8/168238.Finally, GCF of Fractions for 2696/394, 1232/854 is 8/168238.