Greatest Common Factor of 562/525, 474/924, 913/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/525, 474/924, 913/756

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 562/525,474/924,913/756

Given fractions are 562/525,474/924,913/756

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 562,474,913

Greatest Common Factor of Numerators i.e. GCF of 562,474,913 is 1 .

LCM of Denominators means LCM of 525,924,756 as per the given fractions.

LCM of 525,924,756 is 207900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,474,913

GCF of Fractions 562/525,474/924,913/756 is 1/207900

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

Greatest Common Factor of 562,474,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,474,913 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 562,474,913 . The biggest common factor number is the GCF number.
So the greatest common factor 562,474,913 is 1.

Lets's calculate LCM of 525,924,756

2 525, 924, 756
2 525, 462, 378
3 525, 231, 189
7 175, 77, 63
25, 11, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 25 x 11 x 9 = 207900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207900

Therefore, the GCF of Fractions 562/525,474/924,913/756 is 1/207900

Least Common Multiple of 525,924,756 with GCF Formula

Least Common Multiple of 525,924,756 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 525,924,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,924,756) = 21

common factors(in case of two or more numbers have common factors) = 84

GCF(525,924,756) x common factors =21 x 84 = 1764

LCM(525,924,756) = ( 525 × 924 × 756 ) / 1764

LCM(525,924,756) = 366735600 / 1764

LCM(525,924,756) = 207900


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 562/525, 474/924, 913/756

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 562/525, 474/924, 913/756?

Answer: GCF of Numerators as per given numbers 562/525, 474/924, 913/756 is

GCF of Numerators i.e. for 562,474,913 is 1

LCM of denominators i.e. for 525,924,756 is 207900.

Thus, GCF of Fractions is 1/207900.Finally, GCF of Fractions for 562/525, 474/924, 913/756 is 1/207900.