Greatest Common Factor of 78/482, 890/964, 376/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/482, 890/964, 376/523

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 78/482,890/964,376/523

Given fractions are 78/482,890/964,376/523

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 78,890,376

Greatest Common Factor of Numerators i.e. GCF of 78,890,376 is 2 .

LCM of Denominators means LCM of 482,964,523 as per the given fractions.

LCM of 482,964,523 is 504172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,890,376

GCF of Fractions 78/482,890/964,376/523 is 2/504172

2 78, 890, 376
39, 445, 188

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

Greatest Common Factor of 78,890,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,890,376 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 78,890,376 . The biggest common factor number is the GCF number.
So the greatest common factor 78,890,376 is 2.

Lets's calculate LCM of 482,964,523

2 482, 964, 523
241 241, 482, 523
1, 2, 523

∴ So the LCM of the given numbers is 2 x 241 x 1 x 2 x 523 = 504172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/504172

Therefore, the GCF of Fractions 78/482,890/964,376/523 is 2/504172

Least Common Multiple of 482,964,523 with GCF Formula

Least Common Multiple of 482,964,523 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 482,964,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,964,523) = 1

common factors(in case of two or more numbers have common factors) = 482

GCF(482,964,523) x common factors =1 x 482 = 482

LCM(482,964,523) = ( 482 × 964 × 523 ) / 482

LCM(482,964,523) = 243010904 / 482

LCM(482,964,523) = 504172


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 78/482, 890/964, 376/523

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 78/482, 890/964, 376/523?

Answer: GCF of Numerators as per given numbers 78/482, 890/964, 376/523 is

GCF of Numerators i.e. for 78,890,376 is 2

LCM of denominators i.e. for 482,964,523 is 504172.

Thus, GCF of Fractions is 2/504172.Finally, GCF of Fractions for 78/482, 890/964, 376/523 is 2/504172.