Greatest Common Factor of 4515/989, 5460/1320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4515/989, 5460/1320

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 4515/989,5460/1320

Given fractions are 4515/989,5460/1320

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 4515,5460

Greatest Common Factor of Numerators i.e. GCF of 4515,5460 is 105 .

LCM of Denominators means LCM of 989,1320 as per the given fractions.

LCM of 989,1320 is 1305480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4515,5460

GCF of Fractions 4515/989,5460/1320 is 105/1305480

3 4515, 5460
5 1505, 1820
7 301, 364
43, 52

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Greatest Common Factor of 4515,5460 By Matching Biggest Common Factor Method

Greatest Common Factor of 4515,5460 By Matching Biggest Common Factor Method

Factors of 4515

List of positive integer factors of 4515 that divides 4515 without a remainder.

1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515

Factors of 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460

Greatest Common Factor

We found the factors 4515,5460 . The biggest common factor number is the GCF number.
So the greatest common factor 4515,5460 is 105.

Lets's calculate LCM of 989,1320

Given numbers has no common factors except 1. So, there LCM is their product i.e 1305480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/1305480

Therefore, the GCF of Fractions 4515/989,5460/1320 is 105/1305480

Least Common Multiple of 989,1320 with GCF Formula

Least Common Multiple of 989,1320 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 989,1320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,1320) = 1

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

GCF(989,1320) x common factors =1 x 1 = 1

LCM(989,1320) = ( 989 × 1320 ) / 1

LCM(989,1320) = 1305480 / 1

LCM(989,1320) = 1305480


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 4515/989, 5460/1320

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 4515/989, 5460/1320?

Answer: GCF of Numerators as per given numbers 4515/989, 5460/1320 is

GCF of Numerators i.e. for 4515,5460 is 105

LCM of denominators i.e. for 989,1320 is 1305480.

Thus, GCF of Fractions is 105/1305480.Finally, GCF of Fractions for 4515/989, 5460/1320 is 105/1305480.