Greatest Common Factor of 670/787, 400/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 670/787, 400/143

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 670/787,400/143

Given fractions are 670/787,400/143

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 670,400

Greatest Common Factor of Numerators i.e. GCF of 670,400 is 10 .

LCM of Denominators means LCM of 787,143 as per the given fractions.

LCM of 787,143 is 112541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 670,400

GCF of Fractions 670/787,400/143 is 10/112541

2 670, 400
5 335, 200
67, 40

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 670,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,400 By Matching Biggest Common Factor Method

Factors of 670

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

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

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 670,400 . The biggest common factor number is the GCF number.
So the greatest common factor 670,400 is 10.

Lets's calculate LCM of 787,143

Given numbers has no common factors except 1. So, there LCM is their product i.e 112541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/112541

Therefore, the GCF of Fractions 670/787,400/143 is 10/112541

Least Common Multiple of 787,143 with GCF Formula

Least Common Multiple of 787,143 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 787,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,143) = 1

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

GCF(787,143) x common factors =1 x 1 = 1

LCM(787,143) = ( 787 × 143 ) / 1

LCM(787,143) = 112541 / 1

LCM(787,143) = 112541


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 670/787, 400/143

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 670/787, 400/143?

Answer: GCF of Numerators as per given numbers 670/787, 400/143 is

GCF of Numerators i.e. for 670,400 is 10

LCM of denominators i.e. for 787,143 is 112541.

Thus, GCF of Fractions is 10/112541.Finally, GCF of Fractions for 670/787, 400/143 is 10/112541.