Greatest Common Factor of 10/74, 704/29, 752/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/74, 704/29, 752/765

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 10/74,704/29,752/765

Given fractions are 10/74,704/29,752/765

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 10,704,752

Greatest Common Factor of Numerators i.e. GCF of 10,704,752 is 2 .

LCM of Denominators means LCM of 74,29,765 as per the given fractions.

LCM of 74,29,765 is 1641690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,704,752

GCF of Fractions 10/74,704/29,752/765 is 2/1641690

2 10, 704, 752
5, 352, 376

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 10,704,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,704,752 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 10,704,752 . The biggest common factor number is the GCF number.
So the greatest common factor 10,704,752 is 2.

Lets's calculate LCM of 74,29,765

Given numbers has no common factors except 1. So, there LCM is their product i.e 1641690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1641690

Therefore, the GCF of Fractions 10/74,704/29,752/765 is 2/1641690

Least Common Multiple of 74,29,765 with GCF Formula

Least Common Multiple of 74,29,765 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 74,29,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,29,765) = 1

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

GCF(74,29,765) x common factors =1 x 1 = 1

LCM(74,29,765) = ( 74 × 29 × 765 ) / 1

LCM(74,29,765) = 1641690 / 1

LCM(74,29,765) = 1641690


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 10/74, 704/29, 752/765

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 10/74, 704/29, 752/765?

Answer: GCF of Numerators as per given numbers 10/74, 704/29, 752/765 is

GCF of Numerators i.e. for 10,704,752 is 2

LCM of denominators i.e. for 74,29,765 is 1641690.

Thus, GCF of Fractions is 2/1641690.Finally, GCF of Fractions for 10/74, 704/29, 752/765 is 2/1641690.