Greatest Common Factor of 945/753, 2835/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 945/753, 2835/567

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 945/753,2835/567

Given fractions are 945/753,2835/567

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 945,2835

Greatest Common Factor of Numerators i.e. GCF of 945,2835 is 945 .

LCM of Denominators means LCM of 753,567 as per the given fractions.

LCM of 753,567 is 142317 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 945,2835

GCF of Fractions 945/753,2835/567 is 945/142317

3 945, 2835
3 315, 945
3 105, 315
5 35, 105
7 7, 21
1, 3

∴ So the GCF of the given numbers is 3 x 3 x 3 x 5 x 7 = 945

Greatest Common Factor of 945,2835 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,2835 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835

Greatest Common Factor

We found the factors 945,2835 . The biggest common factor number is the GCF number.
So the greatest common factor 945,2835 is 945.

Lets's calculate LCM of 753,567

3 753, 567
251, 189

∴ So the LCM of the given numbers is 3 x 251 x 189 = 142317

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 945/142317

Therefore, the GCF of Fractions 945/753,2835/567 is 945/142317

Least Common Multiple of 753,567 with GCF Formula

Least Common Multiple of 753,567 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 753,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,567) = 3

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

GCF(753,567) x common factors =3 x 1 = 3

LCM(753,567) = ( 753 × 567 ) / 3

LCM(753,567) = 426951 / 3

LCM(753,567) = 142317


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 945/753, 2835/567

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 945/753, 2835/567?

Answer: GCF of Numerators as per given numbers 945/753, 2835/567 is

GCF of Numerators i.e. for 945,2835 is 945

LCM of denominators i.e. for 753,567 is 142317.

Thus, GCF of Fractions is 945/142317.Finally, GCF of Fractions for 945/753, 2835/567 is 945/142317.