Greatest Common Factor of 812/702, 6320/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 812/702, 6320/416

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 812/702,6320/416

Given fractions are 812/702,6320/416

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 812,6320

Greatest Common Factor of Numerators i.e. GCF of 812,6320 is 4 .

LCM of Denominators means LCM of 702,416 as per the given fractions.

LCM of 702,416 is 11232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 812,6320

GCF of Fractions 812/702,6320/416 is 4/11232

2 812, 6320
2 406, 3160
203, 1580

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

Greatest Common Factor of 812,6320 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,6320 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320

Greatest Common Factor

We found the factors 812,6320 . The biggest common factor number is the GCF number.
So the greatest common factor 812,6320 is 4.

Lets's calculate LCM of 702,416

2 702, 416
13 351, 208
27, 16

∴ So the LCM of the given numbers is 2 x 13 x 27 x 16 = 11232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11232

Therefore, the GCF of Fractions 812/702,6320/416 is 4/11232

Least Common Multiple of 702,416 with GCF Formula

Least Common Multiple of 702,416 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 702,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,416) = 26

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

GCF(702,416) x common factors =26 x 1 = 26

LCM(702,416) = ( 702 × 416 ) / 26

LCM(702,416) = 292032 / 26

LCM(702,416) = 11232


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 812/702, 6320/416

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 812/702, 6320/416?

Answer: GCF of Numerators as per given numbers 812/702, 6320/416 is

GCF of Numerators i.e. for 812,6320 is 4

LCM of denominators i.e. for 702,416 is 11232.

Thus, GCF of Fractions is 4/11232.Finally, GCF of Fractions for 812/702, 6320/416 is 4/11232.