Greatest Common Factor of 113/559, 3967/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 113/559, 3967/945

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 113/559,3967/945

Given fractions are 113/559,3967/945

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 113,3967

Greatest Common Factor of Numerators i.e. GCF of 113,3967 is 1 .

LCM of Denominators means LCM of 559,945 as per the given fractions.

LCM of 559,945 is 528255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 113,3967

GCF of Fractions 113/559,3967/945 is 1/528255

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

Greatest Common Factor of 113,3967 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,3967 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 3967

List of positive integer factors of 3967 that divides 3967 without a remainder.

1,3967

Greatest Common Factor

We found the factors 113,3967 . The biggest common factor number is the GCF number.
So the greatest common factor 113,3967 is 1.


Lets's calculate LCM of 559,945

Given numbers has no common factors except 1. So, there LCM is their product i.e 528255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528255

Therefore, the GCF of Fractions 113/559,3967/945 is 1/528255

Least Common Multiple of 559,945 with GCF Formula

Least Common Multiple of 559,945 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 559,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,945) = 1

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

GCF(559,945) x common factors =1 x 1 = 1

LCM(559,945) = ( 559 × 945 ) / 1

LCM(559,945) = 528255 / 1

LCM(559,945) = 528255


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 113/559, 3967/945

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 113/559, 3967/945?

Answer: GCF of Numerators as per given numbers 113/559, 3967/945 is

GCF of Numerators i.e. for 113,3967 is 1

LCM of denominators i.e. for 559,945 is 528255.

Thus, GCF of Fractions is 1/528255.Finally, GCF of Fractions for 113/559, 3967/945 is 1/528255.