How to Find GCF of 5253/832, 7898/8773?

GCF of 5253/832, 7898/8773

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5253/832, 7898/8773 i.e 1/7299136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5253/832, 7898/8773.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5253/832,7898/8773?

Given fractions are 5253/832,7898/8773

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5253/832,7898/8773, numerators are 5253,7898

Denominators are 832,8773

The GCF of 5253,7898 is 1 .

LCM of 832,8773 is 7299136.

The greatest common factor of 5253/832,7898/8773 = [GCF of 5253,7898]/[LCM of 832,8773]= 1/7299136

Therefore, the GCF of 5253/832,7898/8773 is 1/7299136.

Greatest Common Factor of 5253,7898

To find the highest common factor of 5253,7898, we have to find the factors of both numbers and list the highest common factor.

The factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253

The factors of 7898 are 1, 2, 11, 22, 359, 718, 3949, 7898

The HCF of 5253,7898 is 1.

Lets's calculate GCF of 5253,7898

Greatest Common Factor (GCF) of 5253,7898 By Common Division

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

Greatest Common Factor of 5253,7898 By Matching Biggest Common Factor Method

Now, list down the factors of 5253

1,3,17,51,103,309,1751,5253

Now, list down the factors of 7898

1,2,11,22,359,718,3949,7898

Greatest Common Factor

We found the factors 5253,7898 . The biggest common factor number is the GCF number.
So the greatest common factor 5253,7898 is 1.

Lets's calculate LCM of 832,8773

Lowest Common Multiple of 832,8773 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7299136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7299136

Therefore, the GCF of Fractions 5253/832,7898/8773 is 1/7299136

Least Common Multiple of 832,8773 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 832,8773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,8773) = 1

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

GCF(832,8773) x common factors =1 x 1 = 1

LCM(832,8773) = ( 832 × 8773 ) / 1

LCM(832,8773) = 7299136 / 1

LCM(832,8773) = 7299136

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5253/832, 7898/8773

1. What is the HCF of 5253,7898?

The HCF of 5253,7898 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5253/832, 7898/8773?

Answer: GCF of Numerators as per given numbers 5253/832, 7898/8773 is

GCF of Numerators i.e. for 5253,7898 is 1

LCM of denominators i.e. for 832,8773 is 7299136.

Thus, GCF of Fractions is 1/7299136.Finally, GCF of Fractions for 5253/832, 7898/8773 is 1/7299136.