Greatest Common Factor of 713/31, 6510/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 713/31, 6510/774

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 713/31,6510/774

Given fractions are 713/31,6510/774

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 713,6510

Greatest Common Factor of Numerators i.e. GCF of 713,6510 is 31 .

LCM of Denominators means LCM of 31,774 as per the given fractions.

LCM of 31,774 is 23994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 713,6510

GCF of Fractions 713/31,6510/774 is 31/23994

31 713, 6510
23, 210

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 713,6510 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,6510 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510

Greatest Common Factor

We found the factors 713,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 713,6510 is 31.

Lets's calculate LCM of 31,774

Given numbers has no common factors except 1. So, there LCM is their product i.e 23994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/23994

Therefore, the GCF of Fractions 713/31,6510/774 is 31/23994

Least Common Multiple of 31,774 with GCF Formula

Least Common Multiple of 31,774 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 31,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,774) = 1

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

GCF(31,774) x common factors =1 x 1 = 1

LCM(31,774) = ( 31 × 774 ) / 1

LCM(31,774) = 23994 / 1

LCM(31,774) = 23994


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 713/31, 6510/774

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 713/31, 6510/774?

Answer: GCF of Numerators as per given numbers 713/31, 6510/774 is

GCF of Numerators i.e. for 713,6510 is 31

LCM of denominators i.e. for 31,774 is 23994.

Thus, GCF of Fractions is 31/23994.Finally, GCF of Fractions for 713/31, 6510/774 is 31/23994.