Greatest Common Factor of 8434/739, 4264/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8434/739, 4264/656

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 8434/739,4264/656

Given fractions are 8434/739,4264/656

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 8434,4264

Greatest Common Factor of Numerators i.e. GCF of 8434,4264 is 2 .

LCM of Denominators means LCM of 739,656 as per the given fractions.

LCM of 739,656 is 484784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8434,4264

GCF of Fractions 8434/739,4264/656 is 2/484784

2 8434, 4264
4217, 2132

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

Greatest Common Factor of 8434,4264 By Matching Biggest Common Factor Method

Greatest Common Factor of 8434,4264 By Matching Biggest Common Factor Method

Factors of 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1,2,4217,8434

Factors of 4264

List of positive integer factors of 4264 that divides 4264 without a remainder.

1,2,4,8,13,26,41,52,82,104,164,328,533,1066,2132,4264

Greatest Common Factor

We found the factors 8434,4264 . The biggest common factor number is the GCF number.
So the greatest common factor 8434,4264 is 2.

Lets's calculate LCM of 739,656

Given numbers has no common factors except 1. So, there LCM is their product i.e 484784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/484784

Therefore, the GCF of Fractions 8434/739,4264/656 is 2/484784

Least Common Multiple of 739,656 with GCF Formula

Least Common Multiple of 739,656 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 739,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,656) = 1

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

GCF(739,656) x common factors =1 x 1 = 1

LCM(739,656) = ( 739 × 656 ) / 1

LCM(739,656) = 484784 / 1

LCM(739,656) = 484784


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 8434/739, 4264/656

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 8434/739, 4264/656?

Answer: GCF of Numerators as per given numbers 8434/739, 4264/656 is

GCF of Numerators i.e. for 8434,4264 is 2

LCM of denominators i.e. for 739,656 is 484784.

Thus, GCF of Fractions is 2/484784.Finally, GCF of Fractions for 8434/739, 4264/656 is 2/484784.