Greatest Common Factor of 856/262, 640/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/262, 640/429

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 856/262,640/429

Given fractions are 856/262,640/429

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 856,640

Greatest Common Factor of Numerators i.e. GCF of 856,640 is 8 .

LCM of Denominators means LCM of 262,429 as per the given fractions.

LCM of 262,429 is 112398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,640

GCF of Fractions 856/262,640/429 is 8/112398

2 856, 640
2 428, 320
2 214, 160
107, 80

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

Greatest Common Factor of 856,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,640 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 856,640 . The biggest common factor number is the GCF number.
So the greatest common factor 856,640 is 8.

Lets's calculate LCM of 262,429

Given numbers has no common factors except 1. So, there LCM is their product i.e 112398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/112398

Therefore, the GCF of Fractions 856/262,640/429 is 8/112398

Least Common Multiple of 262,429 with GCF Formula

Least Common Multiple of 262,429 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 262,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,429) = 1

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

GCF(262,429) x common factors =1 x 1 = 1

LCM(262,429) = ( 262 × 429 ) / 1

LCM(262,429) = 112398 / 1

LCM(262,429) = 112398


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 856/262, 640/429

1. 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.

2. What is the GCF of Fractions for 856/262, 640/429?

Answer: GCF of Numerators as per given numbers 856/262, 640/429 is

GCF of Numerators i.e. for 856,640 is 8

LCM of denominators i.e. for 262,429 is 112398.

Thus, GCF of Fractions is 8/112398.Finally, GCF of Fractions for 856/262, 640/429 is 8/112398.