Greatest Common Factor of 74/689, 5069/1136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/689, 5069/1136

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 74/689,5069/1136

Given fractions are 74/689,5069/1136

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 74,5069

Greatest Common Factor of Numerators i.e. GCF of 74,5069 is 37 .

LCM of Denominators means LCM of 689,1136 as per the given fractions.

LCM of 689,1136 is 782704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,5069

GCF of Fractions 74/689,5069/1136 is 37/782704

37 74, 5069
2, 137

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 74,5069 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,5069 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 5069

List of positive integer factors of 5069 that divides 5069 without a remainder.

1,37,137,5069

Greatest Common Factor

We found the factors 74,5069 . The biggest common factor number is the GCF number.
So the greatest common factor 74,5069 is 37.

Lets's calculate LCM of 689,1136

Given numbers has no common factors except 1. So, there LCM is their product i.e 782704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/782704

Therefore, the GCF of Fractions 74/689,5069/1136 is 37/782704

Least Common Multiple of 689,1136 with GCF Formula

Least Common Multiple of 689,1136 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 689,1136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,1136) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(689,1136) x common factors =1 x 1 = 1

LCM(689,1136) = ( 689 × 1136 ) / 1

LCM(689,1136) = 782704 / 1

LCM(689,1136) = 782704


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 74/689, 5069/1136

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 74/689, 5069/1136?

Answer: GCF of Numerators as per given numbers 74/689, 5069/1136 is

GCF of Numerators i.e. for 74,5069 is 37

LCM of denominators i.e. for 689,1136 is 782704.

Thus, GCF of Fractions is 37/782704.Finally, GCF of Fractions for 74/689, 5069/1136 is 37/782704.