Greatest Common Factor of 659/528, 535/415, 378/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 659/528, 535/415, 378/386

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 659/528,535/415,378/386

Given fractions are 659/528,535/415,378/386

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 659,535,378

Greatest Common Factor of Numerators i.e. GCF of 659,535,378 is 1 .

LCM of Denominators means LCM of 528,415,386 as per the given fractions.

LCM of 528,415,386 is 42290160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 659,535,378

GCF of Fractions 659/528,535/415,378/386 is 1/42290160

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

Greatest Common Factor of 659,535,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,535,378 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 659,535,378 . The biggest common factor number is the GCF number.
So the greatest common factor 659,535,378 is 1.

Lets's calculate LCM of 528,415,386

2 528, 415, 386
264, 415, 193

∴ So the LCM of the given numbers is 2 x 264 x 415 x 193 = 42290160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42290160

Therefore, the GCF of Fractions 659/528,535/415,378/386 is 1/42290160

Least Common Multiple of 528,415,386 with GCF Formula

Least Common Multiple of 528,415,386 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 528,415,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,415,386) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(528,415,386) x common factors =1 x 2 = 2

LCM(528,415,386) = ( 528 × 415 × 386 ) / 2

LCM(528,415,386) = 84580320 / 2

LCM(528,415,386) = 42290160


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 659/528, 535/415, 378/386

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 659/528, 535/415, 378/386?

Answer: GCF of Numerators as per given numbers 659/528, 535/415, 378/386 is

GCF of Numerators i.e. for 659,535,378 is 1

LCM of denominators i.e. for 528,415,386 is 42290160.

Thus, GCF of Fractions is 1/42290160.Finally, GCF of Fractions for 659/528, 535/415, 378/386 is 1/42290160.