Greatest Common Factor of 658/97, 386/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 658/97, 386/552

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 658/97,386/552

Given fractions are 658/97,386/552

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 658,386

Greatest Common Factor of Numerators i.e. GCF of 658,386 is 2 .

LCM of Denominators means LCM of 97,552 as per the given fractions.

LCM of 97,552 is 53544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 658,386

GCF of Fractions 658/97,386/552 is 2/53544

2 658, 386
329, 193

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

Greatest Common Factor of 658,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,386 By Matching Biggest Common Factor Method

Factors of 658

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

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

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 658,386 . The biggest common factor number is the GCF number.
So the greatest common factor 658,386 is 2.

Lets's calculate LCM of 97,552

Given numbers has no common factors except 1. So, there LCM is their product i.e 53544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53544

Therefore, the GCF of Fractions 658/97,386/552 is 2/53544

Least Common Multiple of 97,552 with GCF Formula

Least Common Multiple of 97,552 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 97,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,552) = 1

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

GCF(97,552) x common factors =1 x 1 = 1

LCM(97,552) = ( 97 × 552 ) / 1

LCM(97,552) = 53544 / 1

LCM(97,552) = 53544


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 658/97, 386/552

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 658/97, 386/552?

Answer: GCF of Numerators as per given numbers 658/97, 386/552 is

GCF of Numerators i.e. for 658,386 is 2

LCM of denominators i.e. for 97,552 is 53544.

Thus, GCF of Fractions is 2/53544.Finally, GCF of Fractions for 658/97, 386/552 is 2/53544.