Greatest Common Factor of 560/69, 9240/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 560/69, 9240/252

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 560/69,9240/252

Given fractions are 560/69,9240/252

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 560,9240

Greatest Common Factor of Numerators i.e. GCF of 560,9240 is 280 .

LCM of Denominators means LCM of 69,252 as per the given fractions.

LCM of 69,252 is 5796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 560,9240

GCF of Fractions 560/69,9240/252 is 280/5796

2 560, 9240
2 280, 4620
2 140, 2310
5 70, 1155
7 14, 231
2, 33

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 x 7 = 280

Greatest Common Factor of 560,9240 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,9240 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 9240

List of positive integer factors of 9240 that divides 9240 without a remainder.

1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240

Greatest Common Factor

We found the factors 560,9240 . The biggest common factor number is the GCF number.
So the greatest common factor 560,9240 is 280.

Lets's calculate LCM of 69,252

3 69, 252
23, 84

∴ So the LCM of the given numbers is 3 x 23 x 84 = 5796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 280/5796

Therefore, the GCF of Fractions 560/69,9240/252 is 280/5796

Least Common Multiple of 69,252 with GCF Formula

Least Common Multiple of 69,252 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 69,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,252) = 3

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

GCF(69,252) x common factors =3 x 1 = 3

LCM(69,252) = ( 69 × 252 ) / 3

LCM(69,252) = 17388 / 3

LCM(69,252) = 5796


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 560/69, 9240/252

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 560/69, 9240/252?

Answer: GCF of Numerators as per given numbers 560/69, 9240/252 is

GCF of Numerators i.e. for 560,9240 is 280

LCM of denominators i.e. for 69,252 is 5796.

Thus, GCF of Fractions is 280/5796.Finally, GCF of Fractions for 560/69, 9240/252 is 280/5796.