Greatest Common Factor of 1637/488, 1044/3980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1637/488, 1044/3980

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 1637/488,1044/3980

Given fractions are 1637/488,1044/3980

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 1637,1044

Greatest Common Factor of Numerators i.e. GCF of 1637,1044 is 1 .

LCM of Denominators means LCM of 488,3980 as per the given fractions.

LCM of 488,3980 is 485560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1637,1044

GCF of Fractions 1637/488,1044/3980 is 1/485560

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1637,1044 By Matching Biggest Common Factor Method

Greatest Common Factor of 1637,1044 By Matching Biggest Common Factor Method

Factors of 1637

List of positive integer factors of 1637 that divides 1637 without a remainder.

1,1637

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044

Greatest Common Factor

We found the factors 1637,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 1637,1044 is 1.

Lets's calculate LCM of 488,3980

2 488, 3980
2 244, 1990
122, 995

∴ So the LCM of the given numbers is 2 x 2 x 122 x 995 = 485560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485560

Therefore, the GCF of Fractions 1637/488,1044/3980 is 1/485560

Least Common Multiple of 488,3980 with GCF Formula

Least Common Multiple of 488,3980 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 488,3980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,3980) = 4

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

GCF(488,3980) x common factors =4 x 1 = 4

LCM(488,3980) = ( 488 × 3980 ) / 4

LCM(488,3980) = 1942240 / 4

LCM(488,3980) = 485560


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 1637/488, 1044/3980

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 1637/488, 1044/3980?

Answer: GCF of Numerators as per given numbers 1637/488, 1044/3980 is

GCF of Numerators i.e. for 1637,1044 is 1

LCM of denominators i.e. for 488,3980 is 485560.

Thus, GCF of Fractions is 1/485560.Finally, GCF of Fractions for 1637/488, 1044/3980 is 1/485560.