Greatest Common Factor of 807/67, 109/22, 484/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/67, 109/22, 484/417

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 807/67,109/22,484/417

Given fractions are 807/67,109/22,484/417

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 807,109,484

Greatest Common Factor of Numerators i.e. GCF of 807,109,484 is 1 .

LCM of Denominators means LCM of 67,22,417 as per the given fractions.

LCM of 67,22,417 is 614658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,109,484

GCF of Fractions 807/67,109/22,484/417 is 1/614658

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

Greatest Common Factor of 807,109,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,109,484 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 807,109,484 . The biggest common factor number is the GCF number.
So the greatest common factor 807,109,484 is 1.

Lets's calculate LCM of 67,22,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 614658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614658

Therefore, the GCF of Fractions 807/67,109/22,484/417 is 1/614658

Least Common Multiple of 67,22,417 with GCF Formula

Least Common Multiple of 67,22,417 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 67,22,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,22,417) = 1

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

GCF(67,22,417) x common factors =1 x 1 = 1

LCM(67,22,417) = ( 67 × 22 × 417 ) / 1

LCM(67,22,417) = 614658 / 1

LCM(67,22,417) = 614658


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 807/67, 109/22, 484/417

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 807/67, 109/22, 484/417?

Answer: GCF of Numerators as per given numbers 807/67, 109/22, 484/417 is

GCF of Numerators i.e. for 807,109,484 is 1

LCM of denominators i.e. for 67,22,417 is 614658.

Thus, GCF of Fractions is 1/614658.Finally, GCF of Fractions for 807/67, 109/22, 484/417 is 1/614658.