Greatest Common Factor of 501/692, 211/710, 188/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/692, 211/710, 188/578

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 501/692,211/710,188/578

Given fractions are 501/692,211/710,188/578

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 501,211,188

Greatest Common Factor of Numerators i.e. GCF of 501,211,188 is 1 .

LCM of Denominators means LCM of 692,710,578 as per the given fractions.

LCM of 692,710,578 is 70995740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,211,188

GCF of Fractions 501/692,211/710,188/578 is 1/70995740

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

Greatest Common Factor of 501,211,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,211,188 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 501,211,188 . The biggest common factor number is the GCF number.
So the greatest common factor 501,211,188 is 1.

Lets's calculate LCM of 692,710,578

2 692, 710, 578
346, 355, 289

∴ So the LCM of the given numbers is 2 x 346 x 355 x 289 = 70995740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70995740

Therefore, the GCF of Fractions 501/692,211/710,188/578 is 1/70995740

Least Common Multiple of 692,710,578 with GCF Formula

Least Common Multiple of 692,710,578 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 692,710,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,710,578) = 2

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

GCF(692,710,578) x common factors =2 x 2 = 4

LCM(692,710,578) = ( 692 × 710 × 578 ) / 4

LCM(692,710,578) = 283982960 / 4

LCM(692,710,578) = 70995740


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 501/692, 211/710, 188/578

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 501/692, 211/710, 188/578?

Answer: GCF of Numerators as per given numbers 501/692, 211/710, 188/578 is

GCF of Numerators i.e. for 501,211,188 is 1

LCM of denominators i.e. for 692,710,578 is 70995740.

Thus, GCF of Fractions is 1/70995740.Finally, GCF of Fractions for 501/692, 211/710, 188/578 is 1/70995740.