Greatest Common Factor of 35/69, 66/23, 527/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/69, 66/23, 527/164

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 35/69,66/23,527/164

Given fractions are 35/69,66/23,527/164

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 35,66,527

Greatest Common Factor of Numerators i.e. GCF of 35,66,527 is 1 .

LCM of Denominators means LCM of 69,23,164 as per the given fractions.

LCM of 69,23,164 is 11316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,66,527

GCF of Fractions 35/69,66/23,527/164 is 1/11316

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

Greatest Common Factor of 35,66,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,66,527 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 527

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

1,17,31,527

Greatest Common Factor

We found the factors 35,66,527 . The biggest common factor number is the GCF number.
So the greatest common factor 35,66,527 is 1.

Lets's calculate LCM of 69,23,164

23 69, 23, 164
3, 1, 164

∴ So the LCM of the given numbers is 23 x 3 x 1 x 164 = 11316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11316

Therefore, the GCF of Fractions 35/69,66/23,527/164 is 1/11316

Least Common Multiple of 69,23,164 with GCF Formula

Least Common Multiple of 69,23,164 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 69,23,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,23,164) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(69,23,164) x common factors =1 x 23 = 23

LCM(69,23,164) = ( 69 × 23 × 164 ) / 23

LCM(69,23,164) = 260268 / 23

LCM(69,23,164) = 11316


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 35/69, 66/23, 527/164

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 35/69, 66/23, 527/164?

Answer: GCF of Numerators as per given numbers 35/69, 66/23, 527/164 is

GCF of Numerators i.e. for 35,66,527 is 1

LCM of denominators i.e. for 69,23,164 is 11316.

Thus, GCF of Fractions is 1/11316.Finally, GCF of Fractions for 35/69, 66/23, 527/164 is 1/11316.