Greatest Common Factor of 396/43, 882/78, 962/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/43, 882/78, 962/925

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 396/43,882/78,962/925

Given fractions are 396/43,882/78,962/925

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 396,882,962

Greatest Common Factor of Numerators i.e. GCF of 396,882,962 is 2 .

LCM of Denominators means LCM of 43,78,925 as per the given fractions.

LCM of 43,78,925 is 3102450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,882,962

GCF of Fractions 396/43,882/78,962/925 is 2/3102450

2 396, 882, 962
198, 441, 481

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 396,882,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,882,962 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 396,882,962 . The biggest common factor number is the GCF number.
So the greatest common factor 396,882,962 is 2.

Lets's calculate LCM of 43,78,925

Given numbers has no common factors except 1. So, there LCM is their product i.e 3102450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3102450

Therefore, the GCF of Fractions 396/43,882/78,962/925 is 2/3102450

Least Common Multiple of 43,78,925 with GCF Formula

Least Common Multiple of 43,78,925 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 43,78,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,78,925) = 1

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

GCF(43,78,925) x common factors =1 x 1 = 1

LCM(43,78,925) = ( 43 × 78 × 925 ) / 1

LCM(43,78,925) = 3102450 / 1

LCM(43,78,925) = 3102450


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 396/43, 882/78, 962/925

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 396/43, 882/78, 962/925?

Answer: GCF of Numerators as per given numbers 396/43, 882/78, 962/925 is

GCF of Numerators i.e. for 396,882,962 is 2

LCM of denominators i.e. for 43,78,925 is 3102450.

Thus, GCF of Fractions is 2/3102450.Finally, GCF of Fractions for 396/43, 882/78, 962/925 is 2/3102450.