Greatest Common Factor of 930/23, 258/79, 970/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/23, 258/79, 970/991

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 930/23,258/79,970/991

Given fractions are 930/23,258/79,970/991

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 930,258,970

Greatest Common Factor of Numerators i.e. GCF of 930,258,970 is 2 .

LCM of Denominators means LCM of 23,79,991 as per the given fractions.

LCM of 23,79,991 is 1800647 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,258,970

GCF of Fractions 930/23,258/79,970/991 is 2/1800647

2 930, 258, 970
465, 129, 485

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 930,258,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,258,970 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 930,258,970 . The biggest common factor number is the GCF number.
So the greatest common factor 930,258,970 is 2.

Lets's calculate LCM of 23,79,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 1800647

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1800647

Therefore, the GCF of Fractions 930/23,258/79,970/991 is 2/1800647

Least Common Multiple of 23,79,991 with GCF Formula

Least Common Multiple of 23,79,991 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 23,79,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,79,991) = 1

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

GCF(23,79,991) x common factors =1 x 1 = 1

LCM(23,79,991) = ( 23 × 79 × 991 ) / 1

LCM(23,79,991) = 1800647 / 1

LCM(23,79,991) = 1800647


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 930/23, 258/79, 970/991

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 930/23, 258/79, 970/991?

Answer: GCF of Numerators as per given numbers 930/23, 258/79, 970/991 is

GCF of Numerators i.e. for 930,258,970 is 2

LCM of denominators i.e. for 23,79,991 is 1800647.

Thus, GCF of Fractions is 2/1800647.Finally, GCF of Fractions for 930/23, 258/79, 970/991 is 2/1800647.