Greatest Common Factor of 4505/247, 2312/3521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4505/247, 2312/3521

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 4505/247,2312/3521

Given fractions are 4505/247,2312/3521

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 4505,2312

Greatest Common Factor of Numerators i.e. GCF of 4505,2312 is 17 .

LCM of Denominators means LCM of 247,3521 as per the given fractions.

LCM of 247,3521 is 869687 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4505,2312

GCF of Fractions 4505/247,2312/3521 is 17/869687

17 4505, 2312
265, 136

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 4505,2312 By Matching Biggest Common Factor Method

Greatest Common Factor of 4505,2312 By Matching Biggest Common Factor Method

Factors of 4505

List of positive integer factors of 4505 that divides 4505 without a remainder.

1,5,17,53,85,265,901,4505

Factors of 2312

List of positive integer factors of 2312 that divides 2312 without a remainder.

1,2,4,8,17,34,68,136,289,578,1156,2312

Greatest Common Factor

We found the factors 4505,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 4505,2312 is 17.

Lets's calculate LCM of 247,3521

Given numbers has no common factors except 1. So, there LCM is their product i.e 869687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/869687

Therefore, the GCF of Fractions 4505/247,2312/3521 is 17/869687

Least Common Multiple of 247,3521 with GCF Formula

Least Common Multiple of 247,3521 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 247,3521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,3521) = 1

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

GCF(247,3521) x common factors =1 x 1 = 1

LCM(247,3521) = ( 247 × 3521 ) / 1

LCM(247,3521) = 869687 / 1

LCM(247,3521) = 869687


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 4505/247, 2312/3521

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 4505/247, 2312/3521?

Answer: GCF of Numerators as per given numbers 4505/247, 2312/3521 is

GCF of Numerators i.e. for 4505,2312 is 17

LCM of denominators i.e. for 247,3521 is 869687.

Thus, GCF of Fractions is 17/869687.Finally, GCF of Fractions for 4505/247, 2312/3521 is 17/869687.