Greatest Common Factor of 935/996, 969/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 935/996, 969/648

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 935/996,969/648

Given fractions are 935/996,969/648

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 935,969

Greatest Common Factor of Numerators i.e. GCF of 935,969 is 17 .

LCM of Denominators means LCM of 996,648 as per the given fractions.

LCM of 996,648 is 53784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 935,969

GCF of Fractions 935/996,969/648 is 17/53784

17 935, 969
55, 57

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 935,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,969 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 935,969 . The biggest common factor number is the GCF number.
So the greatest common factor 935,969 is 17.

Lets's calculate LCM of 996,648

2 996, 648
2 498, 324
3 249, 162
83, 54

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 54 = 53784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/53784

Therefore, the GCF of Fractions 935/996,969/648 is 17/53784

Least Common Multiple of 996,648 with GCF Formula

Least Common Multiple of 996,648 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 996,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,648) = 12

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

GCF(996,648) x common factors =12 x 1 = 12

LCM(996,648) = ( 996 × 648 ) / 12

LCM(996,648) = 645408 / 12

LCM(996,648) = 53784


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 935/996, 969/648

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 935/996, 969/648?

Answer: GCF of Numerators as per given numbers 935/996, 969/648 is

GCF of Numerators i.e. for 935,969 is 17

LCM of denominators i.e. for 996,648 is 53784.

Thus, GCF of Fractions is 17/53784.Finally, GCF of Fractions for 935/996, 969/648 is 17/53784.