Greatest Common Factor of 10/690, 986/369, 751/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/690, 986/369, 751/235

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 10/690,986/369,751/235

Given fractions are 10/690,986/369,751/235

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 10,986,751

Greatest Common Factor of Numerators i.e. GCF of 10,986,751 is 1 .

LCM of Denominators means LCM of 690,369,235 as per the given fractions.

LCM of 690,369,235 is 3988890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,986,751

GCF of Fractions 10/690,986/369,751/235 is 1/3988890

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

Greatest Common Factor of 10,986,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,986,751 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 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 10,986,751 . The biggest common factor number is the GCF number.
So the greatest common factor 10,986,751 is 1.

Lets's calculate LCM of 690,369,235

3 690, 369, 235
5 230, 123, 235
46, 123, 47

∴ So the LCM of the given numbers is 3 x 5 x 46 x 123 x 47 = 3988890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3988890

Therefore, the GCF of Fractions 10/690,986/369,751/235 is 1/3988890

Least Common Multiple of 690,369,235 with GCF Formula

Least Common Multiple of 690,369,235 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 690,369,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,369,235) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(690,369,235) x common factors =1 x 15 = 15

LCM(690,369,235) = ( 690 × 369 × 235 ) / 15

LCM(690,369,235) = 59833350 / 15

LCM(690,369,235) = 3988890


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 10/690, 986/369, 751/235

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 10/690, 986/369, 751/235?

Answer: GCF of Numerators as per given numbers 10/690, 986/369, 751/235 is

GCF of Numerators i.e. for 10,986,751 is 1

LCM of denominators i.e. for 690,369,235 is 3988890.

Thus, GCF of Fractions is 1/3988890.Finally, GCF of Fractions for 10/690, 986/369, 751/235 is 1/3988890.