Greatest Common Factor of 8360/51, 7280/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8360/51, 7280/332

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 8360/51,7280/332

Given fractions are 8360/51,7280/332

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 8360,7280

Greatest Common Factor of Numerators i.e. GCF of 8360,7280 is 40 .

LCM of Denominators means LCM of 51,332 as per the given fractions.

LCM of 51,332 is 16932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8360,7280

GCF of Fractions 8360/51,7280/332 is 40/16932

2 8360, 7280
2 4180, 3640
2 2090, 1820
5 1045, 910
209, 182

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 8360,7280 By Matching Biggest Common Factor Method

Greatest Common Factor of 8360,7280 By Matching Biggest Common Factor Method

Factors of 8360

List of positive integer factors of 8360 that divides 8360 without a remainder.

1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Greatest Common Factor

We found the factors 8360,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 8360,7280 is 40.

Lets's calculate LCM of 51,332

Given numbers has no common factors except 1. So, there LCM is their product i.e 16932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/16932

Therefore, the GCF of Fractions 8360/51,7280/332 is 40/16932

Least Common Multiple of 51,332 with GCF Formula

Least Common Multiple of 51,332 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 51,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,332) = 1

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

GCF(51,332) x common factors =1 x 1 = 1

LCM(51,332) = ( 51 × 332 ) / 1

LCM(51,332) = 16932 / 1

LCM(51,332) = 16932


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 8360/51, 7280/332

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 8360/51, 7280/332?

Answer: GCF of Numerators as per given numbers 8360/51, 7280/332 is

GCF of Numerators i.e. for 8360,7280 is 40

LCM of denominators i.e. for 51,332 is 16932.

Thus, GCF of Fractions is 40/16932.Finally, GCF of Fractions for 8360/51, 7280/332 is 40/16932.