Greatest Common Factor of 80/835, 780/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/835, 780/226

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 80/835,780/226

Given fractions are 80/835,780/226

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 80,780

Greatest Common Factor of Numerators i.e. GCF of 80,780 is 20 .

LCM of Denominators means LCM of 835,226 as per the given fractions.

LCM of 835,226 is 188710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,780

GCF of Fractions 80/835,780/226 is 20/188710

2 80, 780
2 40, 390
5 20, 195
4, 39

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 80,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,780 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 80,780 . The biggest common factor number is the GCF number.
So the greatest common factor 80,780 is 20.

Lets's calculate LCM of 835,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 188710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/188710

Therefore, the GCF of Fractions 80/835,780/226 is 20/188710

Least Common Multiple of 835,226 with GCF Formula

Least Common Multiple of 835,226 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 835,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,226) = 1

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

GCF(835,226) x common factors =1 x 1 = 1

LCM(835,226) = ( 835 × 226 ) / 1

LCM(835,226) = 188710 / 1

LCM(835,226) = 188710


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 80/835, 780/226

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 80/835, 780/226?

Answer: GCF of Numerators as per given numbers 80/835, 780/226 is

GCF of Numerators i.e. for 80,780 is 20

LCM of denominators i.e. for 835,226 is 188710.

Thus, GCF of Fractions is 20/188710.Finally, GCF of Fractions for 80/835, 780/226 is 20/188710.