How to Find GCF of 4916/695, 5183/8522?

GCF of 4916/695, 5183/8522

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 4916/695, 5183/8522 i.e 1/5922790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4916/695, 5183/8522.

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 4916/695,5183/8522?

Given fractions are 4916/695,5183/8522

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 4916/695,5183/8522, numerators are 4916,5183

Denominators are 695,8522

The GCF of 4916,5183 is 1 .

LCM of 695,8522 is 5922790.

The greatest common factor of 4916/695,5183/8522 = [GCF of 4916,5183]/[LCM of 695,8522]= 1/5922790

Therefore, the GCF of 4916/695,5183/8522 is 1/5922790.

Greatest Common Factor of 4916,5183

To find the highest common factor of 4916,5183, we have to find the factors of both numbers and list the highest common factor.

The factors of 4916 are 1, 2, 4, 1229, 2458, 4916

The factors of 5183 are 1, 71, 73, 5183

The HCF of 4916,5183 is 1.

Lets's calculate GCF of 4916,5183

Greatest Common Factor (GCF) of 4916,5183 By Common Division

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

Greatest Common Factor of 4916,5183 By Matching Biggest Common Factor Method

Now, list down the factors of 4916

1,2,4,1229,2458,4916

Now, list down the factors of 5183

1,71,73,5183

Greatest Common Factor

We found the factors 4916,5183 . The biggest common factor number is the GCF number.
So the greatest common factor 4916,5183 is 1.

Lets's calculate LCM of 695,8522

Lowest Common Multiple of 695,8522 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5922790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5922790

Therefore, the GCF of Fractions 4916/695,5183/8522 is 1/5922790

Least Common Multiple of 695,8522 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 695,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,8522) = 1

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

GCF(695,8522) x common factors =1 x 1 = 1

LCM(695,8522) = ( 695 × 8522 ) / 1

LCM(695,8522) = 5922790 / 1

LCM(695,8522) = 5922790

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4916/695, 5183/8522

1. What is the HCF of 4916,5183?

The HCF of 4916,5183 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 4916/695, 5183/8522?

Answer: GCF of Numerators as per given numbers 4916/695, 5183/8522 is

GCF of Numerators i.e. for 4916,5183 is 1

LCM of denominators i.e. for 695,8522 is 5922790.

Thus, GCF of Fractions is 1/5922790.Finally, GCF of Fractions for 4916/695, 5183/8522 is 1/5922790.