Greatest Common Factor of 527/66, 502/41, 697/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 527/66, 502/41, 697/141

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 527/66,502/41,697/141

Given fractions are 527/66,502/41,697/141

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 527,502,697

Greatest Common Factor of Numerators i.e. GCF of 527,502,697 is 1 .

LCM of Denominators means LCM of 66,41,141 as per the given fractions.

LCM of 66,41,141 is 127182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 527,502,697

GCF of Fractions 527/66,502/41,697/141 is 1/127182

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

Greatest Common Factor of 527,502,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,502,697 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 527,502,697 . The biggest common factor number is the GCF number.
So the greatest common factor 527,502,697 is 1.

Lets's calculate LCM of 66,41,141

3 66, 41, 141
22, 41, 47

∴ So the LCM of the given numbers is 3 x 22 x 41 x 47 = 127182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127182

Therefore, the GCF of Fractions 527/66,502/41,697/141 is 1/127182

Least Common Multiple of 66,41,141 with GCF Formula

Least Common Multiple of 66,41,141 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 66,41,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,41,141) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,41,141) x common factors =1 x 3 = 3

LCM(66,41,141) = ( 66 × 41 × 141 ) / 3

LCM(66,41,141) = 381546 / 3

LCM(66,41,141) = 127182


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 527/66, 502/41, 697/141

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 527/66, 502/41, 697/141?

Answer: GCF of Numerators as per given numbers 527/66, 502/41, 697/141 is

GCF of Numerators i.e. for 527,502,697 is 1

LCM of denominators i.e. for 66,41,141 is 127182.

Thus, GCF of Fractions is 1/127182.Finally, GCF of Fractions for 527/66, 502/41, 697/141 is 1/127182.