Greatest Common Factor of 4380/59, 6462/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4380/59, 6462/384

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 4380/59,6462/384

Given fractions are 4380/59,6462/384

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 4380,6462

Greatest Common Factor of Numerators i.e. GCF of 4380,6462 is 6 .

LCM of Denominators means LCM of 59,384 as per the given fractions.

LCM of 59,384 is 22656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4380,6462

GCF of Fractions 4380/59,6462/384 is 6/22656

2 4380, 6462
3 2190, 3231
730, 1077

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4380,6462 By Matching Biggest Common Factor Method

Greatest Common Factor of 4380,6462 By Matching Biggest Common Factor Method

Factors of 4380

List of positive integer factors of 4380 that divides 4380 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380

Factors of 6462

List of positive integer factors of 6462 that divides 6462 without a remainder.

1,2,3,6,9,18,359,718,1077,2154,3231,6462

Greatest Common Factor

We found the factors 4380,6462 . The biggest common factor number is the GCF number.
So the greatest common factor 4380,6462 is 6.

Lets's calculate LCM of 59,384

Given numbers has no common factors except 1. So, there LCM is their product i.e 22656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/22656

Therefore, the GCF of Fractions 4380/59,6462/384 is 6/22656

Least Common Multiple of 59,384 with GCF Formula

Least Common Multiple of 59,384 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 59,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,384) = 1

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

GCF(59,384) x common factors =1 x 1 = 1

LCM(59,384) = ( 59 × 384 ) / 1

LCM(59,384) = 22656 / 1

LCM(59,384) = 22656


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 4380/59, 6462/384

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 4380/59, 6462/384?

Answer: GCF of Numerators as per given numbers 4380/59, 6462/384 is

GCF of Numerators i.e. for 4380,6462 is 6

LCM of denominators i.e. for 59,384 is 22656.

Thus, GCF of Fractions is 6/22656.Finally, GCF of Fractions for 4380/59, 6462/384 is 6/22656.