How to Find GCF of 4607/906, 8524/7907?

GCF of 4607/906, 8524/7907

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 4607/906, 8524/7907 i.e 1/7163742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4607/906, 8524/7907.

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 4607/906,8524/7907?

Given fractions are 4607/906,8524/7907

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 4607/906,8524/7907, numerators are 4607,8524

Denominators are 906,7907

The GCF of 4607,8524 is 1 .

LCM of 906,7907 is 7163742.

The greatest common factor of 4607/906,8524/7907 = [GCF of 4607,8524]/[LCM of 906,7907]= 1/7163742

Therefore, the GCF of 4607/906,8524/7907 is 1/7163742.

Greatest Common Factor of 4607,8524

To find the highest common factor of 4607,8524, we have to find the factors of both numbers and list the highest common factor.

The factors of 4607 are 1, 17, 271, 4607

The factors of 8524 are 1, 2, 4, 2131, 4262, 8524

The HCF of 4607,8524 is 1.

Lets's calculate GCF of 4607,8524

Greatest Common Factor (GCF) of 4607,8524 By Common Division

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

Greatest Common Factor of 4607,8524 By Matching Biggest Common Factor Method

Now, list down the factors of 4607

1,17,271,4607

Now, list down the factors of 8524

1,2,4,2131,4262,8524

Greatest Common Factor

We found the factors 4607,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 4607,8524 is 1.

Lets's calculate LCM of 906,7907

Lowest Common Multiple of 906,7907 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7163742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7163742

Therefore, the GCF of Fractions 4607/906,8524/7907 is 1/7163742

Least Common Multiple of 906,7907 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 906,7907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,7907) = 1

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

GCF(906,7907) x common factors =1 x 1 = 1

LCM(906,7907) = ( 906 × 7907 ) / 1

LCM(906,7907) = 7163742 / 1

LCM(906,7907) = 7163742

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4607/906, 8524/7907

1. What is the HCF of 4607,8524?

The HCF of 4607,8524 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 4607/906, 8524/7907?

Answer: GCF of Numerators as per given numbers 4607/906, 8524/7907 is

GCF of Numerators i.e. for 4607,8524 is 1

LCM of denominators i.e. for 906,7907 is 7163742.

Thus, GCF of Fractions is 1/7163742.Finally, GCF of Fractions for 4607/906, 8524/7907 is 1/7163742.