Greatest Common Factor of 4408/280, 6732/5987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4408/280, 6732/5987

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 4408/280,6732/5987

Given fractions are 4408/280,6732/5987

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 4408,6732

Greatest Common Factor of Numerators i.e. GCF of 4408,6732 is 4 .

LCM of Denominators means LCM of 280,5987 as per the given fractions.

LCM of 280,5987 is 1676360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4408,6732

GCF of Fractions 4408/280,6732/5987 is 4/1676360

2 4408, 6732
2 2204, 3366
1102, 1683

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4408,6732 By Matching Biggest Common Factor Method

Greatest Common Factor of 4408,6732 By Matching Biggest Common Factor Method

Factors of 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732

Greatest Common Factor

We found the factors 4408,6732 . The biggest common factor number is the GCF number.
So the greatest common factor 4408,6732 is 4.

Lets's calculate LCM of 280,5987

Given numbers has no common factors except 1. So, there LCM is their product i.e 1676360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1676360

Therefore, the GCF of Fractions 4408/280,6732/5987 is 4/1676360

Least Common Multiple of 280,5987 with GCF Formula

Least Common Multiple of 280,5987 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 280,5987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,5987) = 1

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

GCF(280,5987) x common factors =1 x 1 = 1

LCM(280,5987) = ( 280 × 5987 ) / 1

LCM(280,5987) = 1676360 / 1

LCM(280,5987) = 1676360


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 4408/280, 6732/5987

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 4408/280, 6732/5987?

Answer: GCF of Numerators as per given numbers 4408/280, 6732/5987 is

GCF of Numerators i.e. for 4408,6732 is 4

LCM of denominators i.e. for 280,5987 is 1676360.

Thus, GCF of Fractions is 4/1676360.Finally, GCF of Fractions for 4408/280, 6732/5987 is 4/1676360.