Greatest Common Factor of 655/23, 658/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/23, 658/770

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 655/23,658/770

Given fractions are 655/23,658/770

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 655,658

Greatest Common Factor of Numerators i.e. GCF of 655,658 is 1 .

LCM of Denominators means LCM of 23,770 as per the given fractions.

LCM of 23,770 is 17710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,658

GCF of Fractions 655/23,658/770 is 1/17710

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

Greatest Common Factor of 655,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,658 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 655,658 . The biggest common factor number is the GCF number.
So the greatest common factor 655,658 is 1.

Lets's calculate LCM of 23,770

Given numbers has no common factors except 1. So, there LCM is their product i.e 17710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17710

Therefore, the GCF of Fractions 655/23,658/770 is 1/17710

Least Common Multiple of 23,770 with GCF Formula

Least Common Multiple of 23,770 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 23,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,770) = 1

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

GCF(23,770) x common factors =1 x 1 = 1

LCM(23,770) = ( 23 × 770 ) / 1

LCM(23,770) = 17710 / 1

LCM(23,770) = 17710


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 655/23, 658/770

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 655/23, 658/770?

Answer: GCF of Numerators as per given numbers 655/23, 658/770 is

GCF of Numerators i.e. for 655,658 is 1

LCM of denominators i.e. for 23,770 is 17710.

Thus, GCF of Fractions is 1/17710.Finally, GCF of Fractions for 655/23, 658/770 is 1/17710.