Greatest Common Factor of 4823/69, 7553/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4823/69, 7553/277

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 4823/69,7553/277

Given fractions are 4823/69,7553/277

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 4823,7553

Greatest Common Factor of Numerators i.e. GCF of 4823,7553 is 91 .

LCM of Denominators means LCM of 69,277 as per the given fractions.

LCM of 69,277 is 19113 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4823,7553

GCF of Fractions 4823/69,7553/277 is 91/19113

7 4823, 7553
13 689, 1079
53, 83

∴ So the GCF of the given numbers is 7 x 13 = 91

Greatest Common Factor of 4823,7553 By Matching Biggest Common Factor Method

Greatest Common Factor of 4823,7553 By Matching Biggest Common Factor Method

Factors of 4823

List of positive integer factors of 4823 that divides 4823 without a remainder.

1,7,13,53,91,371,689,4823

Factors of 7553

List of positive integer factors of 7553 that divides 7553 without a remainder.

1,7,13,83,91,581,1079,7553

Greatest Common Factor

We found the factors 4823,7553 . The biggest common factor number is the GCF number.
So the greatest common factor 4823,7553 is 91.

Lets's calculate LCM of 69,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 19113

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/19113

Therefore, the GCF of Fractions 4823/69,7553/277 is 91/19113

Least Common Multiple of 69,277 with GCF Formula

Least Common Multiple of 69,277 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 69,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,277) = 1

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

GCF(69,277) x common factors =1 x 1 = 1

LCM(69,277) = ( 69 × 277 ) / 1

LCM(69,277) = 19113 / 1

LCM(69,277) = 19113


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 4823/69, 7553/277

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 4823/69, 7553/277?

Answer: GCF of Numerators as per given numbers 4823/69, 7553/277 is

GCF of Numerators i.e. for 4823,7553 is 91

LCM of denominators i.e. for 69,277 is 19113.

Thus, GCF of Fractions is 91/19113.Finally, GCF of Fractions for 4823/69, 7553/277 is 91/19113.