Greatest Common Factor of 916/714, 7036/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 916/714, 7036/811

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 916/714,7036/811

Given fractions are 916/714,7036/811

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 916,7036

Greatest Common Factor of Numerators i.e. GCF of 916,7036 is 4 .

LCM of Denominators means LCM of 714,811 as per the given fractions.

LCM of 714,811 is 579054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 916,7036

GCF of Fractions 916/714,7036/811 is 4/579054

2 916, 7036
2 458, 3518
229, 1759

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 916,7036 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,7036 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 7036

List of positive integer factors of 7036 that divides 7036 without a remainder.

1,2,4,1759,3518,7036

Greatest Common Factor

We found the factors 916,7036 . The biggest common factor number is the GCF number.
So the greatest common factor 916,7036 is 4.

Lets's calculate LCM of 714,811

Given numbers has no common factors except 1. So, there LCM is their product i.e 579054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/579054

Therefore, the GCF of Fractions 916/714,7036/811 is 4/579054

Least Common Multiple of 714,811 with GCF Formula

Least Common Multiple of 714,811 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 714,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,811) = 1

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

GCF(714,811) x common factors =1 x 1 = 1

LCM(714,811) = ( 714 × 811 ) / 1

LCM(714,811) = 579054 / 1

LCM(714,811) = 579054


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 916/714, 7036/811

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 916/714, 7036/811?

Answer: GCF of Numerators as per given numbers 916/714, 7036/811 is

GCF of Numerators i.e. for 916,7036 is 4

LCM of denominators i.e. for 714,811 is 579054.

Thus, GCF of Fractions is 4/579054.Finally, GCF of Fractions for 916/714, 7036/811 is 4/579054.