Greatest Common Factor of 12/563, 45/628, 870/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/563, 45/628, 870/802

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 12/563,45/628,870/802

Given fractions are 12/563,45/628,870/802

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 12,45,870

Greatest Common Factor of Numerators i.e. GCF of 12,45,870 is 3 .

LCM of Denominators means LCM of 563,628,802 as per the given fractions.

LCM of 563,628,802 is 141779164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,45,870

GCF of Fractions 12/563,45/628,870/802 is 3/141779164

3 12, 45, 870
4, 15, 290

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 12,45,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,45,870 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 12,45,870 . The biggest common factor number is the GCF number.
So the greatest common factor 12,45,870 is 3.

Lets's calculate LCM of 563,628,802

2 563, 628, 802
563, 314, 401

∴ So the LCM of the given numbers is 2 x 563 x 314 x 401 = 141779164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/141779164

Therefore, the GCF of Fractions 12/563,45/628,870/802 is 3/141779164

Least Common Multiple of 563,628,802 with GCF Formula

Least Common Multiple of 563,628,802 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 563,628,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,628,802) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(563,628,802) x common factors =1 x 2 = 2

LCM(563,628,802) = ( 563 × 628 × 802 ) / 2

LCM(563,628,802) = 283558328 / 2

LCM(563,628,802) = 141779164


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 12/563, 45/628, 870/802

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 12/563, 45/628, 870/802?

Answer: GCF of Numerators as per given numbers 12/563, 45/628, 870/802 is

GCF of Numerators i.e. for 12,45,870 is 3

LCM of denominators i.e. for 563,628,802 is 141779164.

Thus, GCF of Fractions is 3/141779164.Finally, GCF of Fractions for 12/563, 45/628, 870/802 is 3/141779164.