Greatest Common Factor of 962/196, 9684/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 962/196, 9684/536

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 962/196,9684/536

Given fractions are 962/196,9684/536

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 962,9684

Greatest Common Factor of Numerators i.e. GCF of 962,9684 is 2 .

LCM of Denominators means LCM of 196,536 as per the given fractions.

LCM of 196,536 is 26264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 962,9684

GCF of Fractions 962/196,9684/536 is 2/26264

2 962, 9684
481, 4842

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

Greatest Common Factor of 962,9684 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,9684 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 9684

List of positive integer factors of 9684 that divides 9684 without a remainder.

1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684

Greatest Common Factor

We found the factors 962,9684 . The biggest common factor number is the GCF number.
So the greatest common factor 962,9684 is 2.

Lets's calculate LCM of 196,536

2 196, 536
2 98, 268
49, 134

∴ So the LCM of the given numbers is 2 x 2 x 49 x 134 = 26264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26264

Therefore, the GCF of Fractions 962/196,9684/536 is 2/26264

Least Common Multiple of 196,536 with GCF Formula

Least Common Multiple of 196,536 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 196,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,536) = 4

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

GCF(196,536) x common factors =4 x 1 = 4

LCM(196,536) = ( 196 × 536 ) / 4

LCM(196,536) = 105056 / 4

LCM(196,536) = 26264


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 962/196, 9684/536

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 962/196, 9684/536?

Answer: GCF of Numerators as per given numbers 962/196, 9684/536 is

GCF of Numerators i.e. for 962,9684 is 2

LCM of denominators i.e. for 196,536 is 26264.

Thus, GCF of Fractions is 2/26264.Finally, GCF of Fractions for 962/196, 9684/536 is 2/26264.