Greatest Common Factor of 958/85, 381/20, 670/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 958/85, 381/20, 670/400

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 958/85,381/20,670/400

Given fractions are 958/85,381/20,670/400

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 958,381,670

Greatest Common Factor of Numerators i.e. GCF of 958,381,670 is 1 .

LCM of Denominators means LCM of 85,20,400 as per the given fractions.

LCM of 85,20,400 is 6800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 958,381,670

GCF of Fractions 958/85,381/20,670/400 is 1/6800

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

Greatest Common Factor of 958,381,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,381,670 By Matching Biggest Common Factor Method

Factors of 958

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

1,2,479,958

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 958,381,670 . The biggest common factor number is the GCF number.
So the greatest common factor 958,381,670 is 1.

Lets's calculate LCM of 85,20,400

2 85, 20, 400
2 85, 10, 200
5 85, 5, 100
17, 1, 20

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 1 x 20 = 6800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6800

Therefore, the GCF of Fractions 958/85,381/20,670/400 is 1/6800

Least Common Multiple of 85,20,400 with GCF Formula

Least Common Multiple of 85,20,400 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 85,20,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,20,400) = 5

common factors(in case of two or more numbers have common factors) = 20

GCF(85,20,400) x common factors =5 x 20 = 100

LCM(85,20,400) = ( 85 × 20 × 400 ) / 100

LCM(85,20,400) = 680000 / 100

LCM(85,20,400) = 6800


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 958/85, 381/20, 670/400

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 958/85, 381/20, 670/400?

Answer: GCF of Numerators as per given numbers 958/85, 381/20, 670/400 is

GCF of Numerators i.e. for 958,381,670 is 1

LCM of denominators i.e. for 85,20,400 is 6800.

Thus, GCF of Fractions is 1/6800.Finally, GCF of Fractions for 958/85, 381/20, 670/400 is 1/6800.