Greatest Common Factor of 692/63, 8613/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 692/63, 8613/510

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 692/63,8613/510

Given fractions are 692/63,8613/510

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 692,8613

Greatest Common Factor of Numerators i.e. GCF of 692,8613 is 1 .

LCM of Denominators means LCM of 63,510 as per the given fractions.

LCM of 63,510 is 10710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,8613

GCF of Fractions 692/63,8613/510 is 1/10710

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 692,8613 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,8613 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 8613

List of positive integer factors of 8613 that divides 8613 without a remainder.

1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613

Greatest Common Factor

We found the factors 692,8613 . The biggest common factor number is the GCF number.
So the greatest common factor 692,8613 is 1.


Lets's calculate LCM of 63,510

3 63, 510
21, 170

∴ So the LCM of the given numbers is 3 x 21 x 170 = 10710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10710

Therefore, the GCF of Fractions 692/63,8613/510 is 1/10710

Least Common Multiple of 63,510 with GCF Formula

Least Common Multiple of 63,510 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 63,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,510) = 3

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

GCF(63,510) x common factors =3 x 1 = 3

LCM(63,510) = ( 63 × 510 ) / 3

LCM(63,510) = 32130 / 3

LCM(63,510) = 10710


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 692/63, 8613/510

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 692/63, 8613/510?

Answer: GCF of Numerators as per given numbers 692/63, 8613/510 is

GCF of Numerators i.e. for 692,8613 is 1

LCM of denominators i.e. for 63,510 is 10710.

Thus, GCF of Fractions is 1/10710.Finally, GCF of Fractions for 692/63, 8613/510 is 1/10710.