Greatest Common Factor of 134/35, 209/23, 762/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 134/35, 209/23, 762/885

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 134/35,209/23,762/885

Given fractions are 134/35,209/23,762/885

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 134,209,762

Greatest Common Factor of Numerators i.e. GCF of 134,209,762 is 1 .

LCM of Denominators means LCM of 35,23,885 as per the given fractions.

LCM of 35,23,885 is 142485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 134,209,762

GCF of Fractions 134/35,209/23,762/885 is 1/142485

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

Greatest Common Factor of 134,209,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,209,762 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 134,209,762 . The biggest common factor number is the GCF number.
So the greatest common factor 134,209,762 is 1.

Lets's calculate LCM of 35,23,885

5 35, 23, 885
7, 23, 177

∴ So the LCM of the given numbers is 5 x 7 x 23 x 177 = 142485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142485

Therefore, the GCF of Fractions 134/35,209/23,762/885 is 1/142485

Least Common Multiple of 35,23,885 with GCF Formula

Least Common Multiple of 35,23,885 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 35,23,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,23,885) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,23,885) x common factors =1 x 5 = 5

LCM(35,23,885) = ( 35 × 23 × 885 ) / 5

LCM(35,23,885) = 712425 / 5

LCM(35,23,885) = 142485


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 134/35, 209/23, 762/885

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 134/35, 209/23, 762/885?

Answer: GCF of Numerators as per given numbers 134/35, 209/23, 762/885 is

GCF of Numerators i.e. for 134,209,762 is 1

LCM of denominators i.e. for 35,23,885 is 142485.

Thus, GCF of Fractions is 1/142485.Finally, GCF of Fractions for 134/35, 209/23, 762/885 is 1/142485.