Greatest Common Factor of 71/668, 700/980, 989/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/668, 700/980, 989/407

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 71/668,700/980,989/407

Given fractions are 71/668,700/980,989/407

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 71,700,989

Greatest Common Factor of Numerators i.e. GCF of 71,700,989 is 1 .

LCM of Denominators means LCM of 668,980,407 as per the given fractions.

LCM of 668,980,407 is 66609620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,700,989

GCF of Fractions 71/668,700/980,989/407 is 1/66609620

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

Greatest Common Factor of 71,700,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,700,989 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

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 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 71,700,989 . The biggest common factor number is the GCF number.
So the greatest common factor 71,700,989 is 1.

Lets's calculate LCM of 668,980,407

2 668, 980, 407
2 334, 490, 407
167, 245, 407

∴ So the LCM of the given numbers is 2 x 2 x 167 x 245 x 407 = 66609620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66609620

Therefore, the GCF of Fractions 71/668,700/980,989/407 is 1/66609620

Least Common Multiple of 668,980,407 with GCF Formula

Least Common Multiple of 668,980,407 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 668,980,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,980,407) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(668,980,407) x common factors =1 x 4 = 4

LCM(668,980,407) = ( 668 × 980 × 407 ) / 4

LCM(668,980,407) = 266438480 / 4

LCM(668,980,407) = 66609620


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 71/668, 700/980, 989/407

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 71/668, 700/980, 989/407?

Answer: GCF of Numerators as per given numbers 71/668, 700/980, 989/407 is

GCF of Numerators i.e. for 71,700,989 is 1

LCM of denominators i.e. for 668,980,407 is 66609620.

Thus, GCF of Fractions is 1/66609620.Finally, GCF of Fractions for 71/668, 700/980, 989/407 is 1/66609620.