Greatest Common Factor of 9500/46, 9636/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9500/46, 9636/714

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 9500/46,9636/714

Given fractions are 9500/46,9636/714

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 9500,9636

Greatest Common Factor of Numerators i.e. GCF of 9500,9636 is 4 .

LCM of Denominators means LCM of 46,714 as per the given fractions.

LCM of 46,714 is 16422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9500,9636

GCF of Fractions 9500/46,9636/714 is 4/16422

2 9500, 9636
2 4750, 4818
2375, 2409

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9500,9636 By Matching Biggest Common Factor Method

Greatest Common Factor of 9500,9636 By Matching Biggest Common Factor Method

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500

Factors of 9636

List of positive integer factors of 9636 that divides 9636 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,73,132,146,219,292,438,803,876,1606,2409,3212,4818,9636

Greatest Common Factor

We found the factors 9500,9636 . The biggest common factor number is the GCF number.
So the greatest common factor 9500,9636 is 4.

Lets's calculate LCM of 46,714

2 46, 714
23, 357

∴ So the LCM of the given numbers is 2 x 23 x 357 = 16422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/16422

Therefore, the GCF of Fractions 9500/46,9636/714 is 4/16422

Least Common Multiple of 46,714 with GCF Formula

Least Common Multiple of 46,714 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 46,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,714) = 2

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

GCF(46,714) x common factors =2 x 1 = 2

LCM(46,714) = ( 46 × 714 ) / 2

LCM(46,714) = 32844 / 2

LCM(46,714) = 16422


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 9500/46, 9636/714

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 9500/46, 9636/714?

Answer: GCF of Numerators as per given numbers 9500/46, 9636/714 is

GCF of Numerators i.e. for 9500,9636 is 4

LCM of denominators i.e. for 46,714 is 16422.

Thus, GCF of Fractions is 4/16422.Finally, GCF of Fractions for 9500/46, 9636/714 is 4/16422.