Greatest Common Factor of 8738/698, 9516/2128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8738/698, 9516/2128

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 8738/698,9516/2128

Given fractions are 8738/698,9516/2128

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 8738,9516

Greatest Common Factor of Numerators i.e. GCF of 8738,9516 is 2 .

LCM of Denominators means LCM of 698,2128 as per the given fractions.

LCM of 698,2128 is 742672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8738,9516

GCF of Fractions 8738/698,9516/2128 is 2/742672

2 8738, 9516
4369, 4758

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

Greatest Common Factor of 8738,9516 By Matching Biggest Common Factor Method

Greatest Common Factor of 8738,9516 By Matching Biggest Common Factor Method

Factors of 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1,2,17,34,257,514,4369,8738

Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516

Greatest Common Factor

We found the factors 8738,9516 . The biggest common factor number is the GCF number.
So the greatest common factor 8738,9516 is 2.

Lets's calculate LCM of 698,2128

2 698, 2128
349, 1064

∴ So the LCM of the given numbers is 2 x 349 x 1064 = 742672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/742672

Therefore, the GCF of Fractions 8738/698,9516/2128 is 2/742672

Least Common Multiple of 698,2128 with GCF Formula

Least Common Multiple of 698,2128 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 698,2128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,2128) = 2

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

GCF(698,2128) x common factors =2 x 1 = 2

LCM(698,2128) = ( 698 × 2128 ) / 2

LCM(698,2128) = 1485344 / 2

LCM(698,2128) = 742672


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 8738/698, 9516/2128

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 8738/698, 9516/2128?

Answer: GCF of Numerators as per given numbers 8738/698, 9516/2128 is

GCF of Numerators i.e. for 8738,9516 is 2

LCM of denominators i.e. for 698,2128 is 742672.

Thus, GCF of Fractions is 2/742672.Finally, GCF of Fractions for 8738/698, 9516/2128 is 2/742672.