Greatest Common Factor of 757/53, 958/14, 690/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 757/53, 958/14, 690/360

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 757/53,958/14,690/360

Given fractions are 757/53,958/14,690/360

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 757,958,690

Greatest Common Factor of Numerators i.e. GCF of 757,958,690 is 1 .

LCM of Denominators means LCM of 53,14,360 as per the given fractions.

LCM of 53,14,360 is 133560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 757,958,690

GCF of Fractions 757/53,958/14,690/360 is 1/133560

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

Greatest Common Factor of 757,958,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,958,690 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 757,958,690 . The biggest common factor number is the GCF number.
So the greatest common factor 757,958,690 is 1.

Lets's calculate LCM of 53,14,360

2 53, 14, 360
53, 7, 180

∴ So the LCM of the given numbers is 2 x 53 x 7 x 180 = 133560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133560

Therefore, the GCF of Fractions 757/53,958/14,690/360 is 1/133560

Least Common Multiple of 53,14,360 with GCF Formula

Least Common Multiple of 53,14,360 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 53,14,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,14,360) = 1

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

GCF(53,14,360) x common factors =1 x 2 = 2

LCM(53,14,360) = ( 53 × 14 × 360 ) / 2

LCM(53,14,360) = 267120 / 2

LCM(53,14,360) = 133560


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 757/53, 958/14, 690/360

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 757/53, 958/14, 690/360?

Answer: GCF of Numerators as per given numbers 757/53, 958/14, 690/360 is

GCF of Numerators i.e. for 757,958,690 is 1

LCM of denominators i.e. for 53,14,360 is 133560.

Thus, GCF of Fractions is 1/133560.Finally, GCF of Fractions for 757/53, 958/14, 690/360 is 1/133560.