Greatest Common Factor of 930/53, 505/26, 310/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/53, 505/26, 310/947

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 930/53,505/26,310/947

Given fractions are 930/53,505/26,310/947

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 930,505,310

Greatest Common Factor of Numerators i.e. GCF of 930,505,310 is 5 .

LCM of Denominators means LCM of 53,26,947 as per the given fractions.

LCM of 53,26,947 is 1304966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,505,310

GCF of Fractions 930/53,505/26,310/947 is 5/1304966

5 930, 505, 310
186, 101, 62

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 930,505,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,505,310 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 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 930,505,310 . The biggest common factor number is the GCF number.
So the greatest common factor 930,505,310 is 5.

Lets's calculate LCM of 53,26,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 1304966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1304966

Therefore, the GCF of Fractions 930/53,505/26,310/947 is 5/1304966

Least Common Multiple of 53,26,947 with GCF Formula

Least Common Multiple of 53,26,947 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 53,26,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,26,947) = 1

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

GCF(53,26,947) x common factors =1 x 1 = 1

LCM(53,26,947) = ( 53 × 26 × 947 ) / 1

LCM(53,26,947) = 1304966 / 1

LCM(53,26,947) = 1304966


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 930/53, 505/26, 310/947

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 930/53, 505/26, 310/947?

Answer: GCF of Numerators as per given numbers 930/53, 505/26, 310/947 is

GCF of Numerators i.e. for 930,505,310 is 5

LCM of denominators i.e. for 53,26,947 is 1304966.

Thus, GCF of Fractions is 5/1304966.Finally, GCF of Fractions for 930/53, 505/26, 310/947 is 5/1304966.