Greatest Common Factor of 807/63, 280/54, 462/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 807/63, 280/54, 462/44

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 807/63,280/54,462/44

Given fractions are 807/63,280/54,462/44

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 807,280,462

Greatest Common Factor of Numerators i.e. GCF of 807,280,462 is 1 .

LCM of Denominators means LCM of 63,54,44 as per the given fractions.

LCM of 63,54,44 is 8316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,280,462

GCF of Fractions 807/63,280/54,462/44 is 1/8316

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

Greatest Common Factor of 807,280,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,280,462 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 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 807,280,462 . The biggest common factor number is the GCF number.
So the greatest common factor 807,280,462 is 1.

Lets's calculate LCM of 63,54,44

2 63, 54, 44
3 63, 27, 22
3 21, 9, 22
7, 3, 22

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 3 x 22 = 8316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8316

Therefore, the GCF of Fractions 807/63,280/54,462/44 is 1/8316

Least Common Multiple of 63,54,44 with GCF Formula

Least Common Multiple of 63,54,44 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 63,54,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,54,44) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(63,54,44) x common factors =1 x 18 = 18

LCM(63,54,44) = ( 63 × 54 × 44 ) / 18

LCM(63,54,44) = 149688 / 18

LCM(63,54,44) = 8316


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 807/63, 280/54, 462/44

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 807/63, 280/54, 462/44?

Answer: GCF of Numerators as per given numbers 807/63, 280/54, 462/44 is

GCF of Numerators i.e. for 807,280,462 is 1

LCM of denominators i.e. for 63,54,44 is 8316.

Thus, GCF of Fractions is 1/8316.Finally, GCF of Fractions for 807/63, 280/54, 462/44 is 1/8316.