Greatest Common Factor of 965/945, 239/672, 825/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 965/945, 239/672, 825/966

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 965/945,239/672,825/966

Given fractions are 965/945,239/672,825/966

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 965,239,825

Greatest Common Factor of Numerators i.e. GCF of 965,239,825 is 1 .

LCM of Denominators means LCM of 945,672,966 as per the given fractions.

LCM of 945,672,966 is 695520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 965,239,825

GCF of Fractions 965/945,239/672,825/966 is 1/695520

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

Greatest Common Factor of 965,239,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,239,825 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 965,239,825 . The biggest common factor number is the GCF number.
So the greatest common factor 965,239,825 is 1.

Lets's calculate LCM of 945,672,966

2 945, 672, 966
3 945, 336, 483
7 315, 112, 161
45, 16, 23

∴ So the LCM of the given numbers is 2 x 3 x 7 x 45 x 16 x 23 = 695520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695520

Therefore, the GCF of Fractions 965/945,239/672,825/966 is 1/695520

Least Common Multiple of 945,672,966 with GCF Formula

Least Common Multiple of 945,672,966 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 945,672,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,672,966) = 21

common factors(in case of two or more numbers have common factors) = 42

GCF(945,672,966) x common factors =21 x 42 = 882

LCM(945,672,966) = ( 945 × 672 × 966 ) / 882

LCM(945,672,966) = 613448640 / 882

LCM(945,672,966) = 695520


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 965/945, 239/672, 825/966

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 965/945, 239/672, 825/966?

Answer: GCF of Numerators as per given numbers 965/945, 239/672, 825/966 is

GCF of Numerators i.e. for 965,239,825 is 1

LCM of denominators i.e. for 945,672,966 is 695520.

Thus, GCF of Fractions is 1/695520.Finally, GCF of Fractions for 965/945, 239/672, 825/966 is 1/695520.