Greatest Common Factor of 4609/88, 5520/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4609/88, 5520/120

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 4609/88,5520/120

Given fractions are 4609/88,5520/120

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 4609,5520

Greatest Common Factor of Numerators i.e. GCF of 4609,5520 is 1 .

LCM of Denominators means LCM of 88,120 as per the given fractions.

LCM of 88,120 is 1320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4609,5520

GCF of Fractions 4609/88,5520/120 is 1/1320

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

Greatest Common Factor of 4609,5520 By Matching Biggest Common Factor Method

Greatest Common Factor of 4609,5520 By Matching Biggest Common Factor Method

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1,11,419,4609

Factors of 5520

List of positive integer factors of 5520 that divides 5520 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520

Greatest Common Factor

We found the factors 4609,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 4609,5520 is 1.

Lets's calculate LCM of 88,120

2 88, 120
2 44, 60
2 22, 30
11, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 15 = 1320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1320

Therefore, the GCF of Fractions 4609/88,5520/120 is 1/1320

Least Common Multiple of 88,120 with GCF Formula

Least Common Multiple of 88,120 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 88,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,120) = 8

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

GCF(88,120) x common factors =8 x 1 = 8

LCM(88,120) = ( 88 × 120 ) / 8

LCM(88,120) = 10560 / 8

LCM(88,120) = 1320


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 4609/88, 5520/120

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 4609/88, 5520/120?

Answer: GCF of Numerators as per given numbers 4609/88, 5520/120 is

GCF of Numerators i.e. for 4609,5520 is 1

LCM of denominators i.e. for 88,120 is 1320.

Thus, GCF of Fractions is 1/1320.Finally, GCF of Fractions for 4609/88, 5520/120 is 1/1320.