Greatest Common Factor of 700/40, 391/42, 689/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/40, 391/42, 689/600

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 700/40,391/42,689/600

Given fractions are 700/40,391/42,689/600

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 700,391,689

Greatest Common Factor of Numerators i.e. GCF of 700,391,689 is 1 .

LCM of Denominators means LCM of 40,42,600 as per the given fractions.

LCM of 40,42,600 is 4200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,391,689

GCF of Fractions 700/40,391/42,689/600 is 1/4200

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

Greatest Common Factor of 700,391,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,391,689 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 700,391,689 . The biggest common factor number is the GCF number.
So the greatest common factor 700,391,689 is 1.

Lets's calculate LCM of 40,42,600

2 40, 42, 600
2 20, 21, 300
2 10, 21, 150
3 5, 21, 75
5 5, 7, 25
1, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 7 x 5 = 4200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4200

Therefore, the GCF of Fractions 700/40,391/42,689/600 is 1/4200

Least Common Multiple of 40,42,600 with GCF Formula

Least Common Multiple of 40,42,600 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 40,42,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,42,600) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(40,42,600) x common factors =2 x 120 = 240

LCM(40,42,600) = ( 40 × 42 × 600 ) / 240

LCM(40,42,600) = 1008000 / 240

LCM(40,42,600) = 4200


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 700/40, 391/42, 689/600

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 700/40, 391/42, 689/600?

Answer: GCF of Numerators as per given numbers 700/40, 391/42, 689/600 is

GCF of Numerators i.e. for 700,391,689 is 1

LCM of denominators i.e. for 40,42,600 is 4200.

Thus, GCF of Fractions is 1/4200.Finally, GCF of Fractions for 700/40, 391/42, 689/600 is 1/4200.