Greatest Common Factor of 946/43, 5313/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 946/43, 5313/490

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 946/43,5313/490

Given fractions are 946/43,5313/490

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 946,5313

Greatest Common Factor of Numerators i.e. GCF of 946,5313 is 11 .

LCM of Denominators means LCM of 43,490 as per the given fractions.

LCM of 43,490 is 21070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 946,5313

GCF of Fractions 946/43,5313/490 is 11/21070

11 946, 5313
86, 483

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 946,5313 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,5313 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 5313

List of positive integer factors of 5313 that divides 5313 without a remainder.

1,3,7,11,21,23,33,69,77,161,231,253,483,759,1771,5313

Greatest Common Factor

We found the factors 946,5313 . The biggest common factor number is the GCF number.
So the greatest common factor 946,5313 is 11.

Lets's calculate LCM of 43,490

Given numbers has no common factors except 1. So, there LCM is their product i.e 21070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/21070

Therefore, the GCF of Fractions 946/43,5313/490 is 11/21070

Least Common Multiple of 43,490 with GCF Formula

Least Common Multiple of 43,490 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 43,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,490) = 1

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

GCF(43,490) x common factors =1 x 1 = 1

LCM(43,490) = ( 43 × 490 ) / 1

LCM(43,490) = 21070 / 1

LCM(43,490) = 21070


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 946/43, 5313/490

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 946/43, 5313/490?

Answer: GCF of Numerators as per given numbers 946/43, 5313/490 is

GCF of Numerators i.e. for 946,5313 is 11

LCM of denominators i.e. for 43,490 is 21070.

Thus, GCF of Fractions is 11/21070.Finally, GCF of Fractions for 946/43, 5313/490 is 11/21070.