Greatest Common Factor of 6310/764, 6685/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6310/764, 6685/662

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 6310/764,6685/662

Given fractions are 6310/764,6685/662

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 6310,6685

Greatest Common Factor of Numerators i.e. GCF of 6310,6685 is 5 .

LCM of Denominators means LCM of 764,662 as per the given fractions.

LCM of 764,662 is 252884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6310,6685

GCF of Fractions 6310/764,6685/662 is 5/252884

5 6310, 6685
1262, 1337

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6310,6685 By Matching Biggest Common Factor Method

Greatest Common Factor of 6310,6685 By Matching Biggest Common Factor Method

Factors of 6310

List of positive integer factors of 6310 that divides 6310 without a remainder.

1,2,5,10,631,1262,3155,6310

Factors of 6685

List of positive integer factors of 6685 that divides 6685 without a remainder.

1,5,7,35,191,955,1337,6685

Greatest Common Factor

We found the factors 6310,6685 . The biggest common factor number is the GCF number.
So the greatest common factor 6310,6685 is 5.

Lets's calculate LCM of 764,662

2 764, 662
382, 331

∴ So the LCM of the given numbers is 2 x 382 x 331 = 252884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/252884

Therefore, the GCF of Fractions 6310/764,6685/662 is 5/252884

Least Common Multiple of 764,662 with GCF Formula

Least Common Multiple of 764,662 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 764,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,662) = 2

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

GCF(764,662) x common factors =2 x 1 = 2

LCM(764,662) = ( 764 × 662 ) / 2

LCM(764,662) = 505768 / 2

LCM(764,662) = 252884


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 6310/764, 6685/662

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 6310/764, 6685/662?

Answer: GCF of Numerators as per given numbers 6310/764, 6685/662 is

GCF of Numerators i.e. for 6310,6685 is 5

LCM of denominators i.e. for 764,662 is 252884.

Thus, GCF of Fractions is 5/252884.Finally, GCF of Fractions for 6310/764, 6685/662 is 5/252884.