Greatest Common Factor of 8232/560, 8322/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8232/560, 8322/516

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 8232/560,8322/516

Given fractions are 8232/560,8322/516

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 8232,8322

Greatest Common Factor of Numerators i.e. GCF of 8232,8322 is 6 .

LCM of Denominators means LCM of 560,516 as per the given fractions.

LCM of 560,516 is 72240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8232,8322

GCF of Fractions 8232/560,8322/516 is 6/72240

2 8232, 8322
3 4116, 4161
1372, 1387

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8232,8322 By Matching Biggest Common Factor Method

Greatest Common Factor of 8232,8322 By Matching Biggest Common Factor Method

Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Greatest Common Factor

We found the factors 8232,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 8232,8322 is 6.

Lets's calculate LCM of 560,516

2 560, 516
2 280, 258
140, 129

∴ So the LCM of the given numbers is 2 x 2 x 140 x 129 = 72240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/72240

Therefore, the GCF of Fractions 8232/560,8322/516 is 6/72240

Least Common Multiple of 560,516 with GCF Formula

Least Common Multiple of 560,516 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 560,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,516) = 4

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

GCF(560,516) x common factors =4 x 1 = 4

LCM(560,516) = ( 560 × 516 ) / 4

LCM(560,516) = 288960 / 4

LCM(560,516) = 72240


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 8232/560, 8322/516

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 8232/560, 8322/516?

Answer: GCF of Numerators as per given numbers 8232/560, 8322/516 is

GCF of Numerators i.e. for 8232,8322 is 6

LCM of denominators i.e. for 560,516 is 72240.

Thus, GCF of Fractions is 6/72240.Finally, GCF of Fractions for 8232/560, 8322/516 is 6/72240.