Greatest Common Factor of 280/242, 6468/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 280/242, 6468/623

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 280/242,6468/623

Given fractions are 280/242,6468/623

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 280,6468

Greatest Common Factor of Numerators i.e. GCF of 280,6468 is 28 .

LCM of Denominators means LCM of 242,623 as per the given fractions.

LCM of 242,623 is 150766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 280,6468

GCF of Fractions 280/242,6468/623 is 28/150766

2 280, 6468
2 140, 3234
7 70, 1617
10, 231

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 280,6468 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,6468 By Matching Biggest Common Factor Method

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 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Greatest Common Factor

We found the factors 280,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 280,6468 is 28.

Lets's calculate LCM of 242,623

Given numbers has no common factors except 1. So, there LCM is their product i.e 150766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/150766

Therefore, the GCF of Fractions 280/242,6468/623 is 28/150766

Least Common Multiple of 242,623 with GCF Formula

Least Common Multiple of 242,623 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 242,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,623) = 1

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

GCF(242,623) x common factors =1 x 1 = 1

LCM(242,623) = ( 242 × 623 ) / 1

LCM(242,623) = 150766 / 1

LCM(242,623) = 150766


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 280/242, 6468/623

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 280/242, 6468/623?

Answer: GCF of Numerators as per given numbers 280/242, 6468/623 is

GCF of Numerators i.e. for 280,6468 is 28

LCM of denominators i.e. for 242,623 is 150766.

Thus, GCF of Fractions is 28/150766.Finally, GCF of Fractions for 280/242, 6468/623 is 28/150766.