Greatest Common Factor of 851/75, 975/76, 130/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 851/75, 975/76, 130/670

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 851/75,975/76,130/670

Given fractions are 851/75,975/76,130/670

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 851,975,130

Greatest Common Factor of Numerators i.e. GCF of 851,975,130 is 1 .

LCM of Denominators means LCM of 75,76,670 as per the given fractions.

LCM of 75,76,670 is 381900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,975,130

GCF of Fractions 851/75,975/76,130/670 is 1/381900

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

Greatest Common Factor of 851,975,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,975,130 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 851,975,130 . The biggest common factor number is the GCF number.
So the greatest common factor 851,975,130 is 1.

Lets's calculate LCM of 75,76,670

2 75, 76, 670
5 75, 38, 335
15, 38, 67

∴ So the LCM of the given numbers is 2 x 5 x 15 x 38 x 67 = 381900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381900

Therefore, the GCF of Fractions 851/75,975/76,130/670 is 1/381900

Least Common Multiple of 75,76,670 with GCF Formula

Least Common Multiple of 75,76,670 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 75,76,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,76,670) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(75,76,670) x common factors =1 x 10 = 10

LCM(75,76,670) = ( 75 × 76 × 670 ) / 10

LCM(75,76,670) = 3819000 / 10

LCM(75,76,670) = 381900


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 851/75, 975/76, 130/670

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 851/75, 975/76, 130/670?

Answer: GCF of Numerators as per given numbers 851/75, 975/76, 130/670 is

GCF of Numerators i.e. for 851,975,130 is 1

LCM of denominators i.e. for 75,76,670 is 381900.

Thus, GCF of Fractions is 1/381900.Finally, GCF of Fractions for 851/75, 975/76, 130/670 is 1/381900.