Greatest Common Factor of 67/534, 769/710, 107/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/534, 769/710, 107/236

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 67/534,769/710,107/236

Given fractions are 67/534,769/710,107/236

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 67,769,107

Greatest Common Factor of Numerators i.e. GCF of 67,769,107 is 1 .

LCM of Denominators means LCM of 534,710,236 as per the given fractions.

LCM of 534,710,236 is 22369260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,769,107

GCF of Fractions 67/534,769/710,107/236 is 1/22369260

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

Greatest Common Factor of 67,769,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,769,107 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 67,769,107 . The biggest common factor number is the GCF number.
So the greatest common factor 67,769,107 is 1.

Lets's calculate LCM of 534,710,236

2 534, 710, 236
267, 355, 118

∴ So the LCM of the given numbers is 2 x 267 x 355 x 118 = 22369260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22369260

Therefore, the GCF of Fractions 67/534,769/710,107/236 is 1/22369260

Least Common Multiple of 534,710,236 with GCF Formula

Least Common Multiple of 534,710,236 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 534,710,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,710,236) = 2

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

GCF(534,710,236) x common factors =2 x 2 = 4

LCM(534,710,236) = ( 534 × 710 × 236 ) / 4

LCM(534,710,236) = 89477040 / 4

LCM(534,710,236) = 22369260


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 67/534, 769/710, 107/236

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 67/534, 769/710, 107/236?

Answer: GCF of Numerators as per given numbers 67/534, 769/710, 107/236 is

GCF of Numerators i.e. for 67,769,107 is 1

LCM of denominators i.e. for 534,710,236 is 22369260.

Thus, GCF of Fractions is 1/22369260.Finally, GCF of Fractions for 67/534, 769/710, 107/236 is 1/22369260.