How to Find GCF of 4523/154, 8230/7582?

GCF of 4523/154, 8230/7582

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 4523/154, 8230/7582 i.e 1/583814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4523/154, 8230/7582.

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 4523/154,8230/7582?

Given fractions are 4523/154,8230/7582

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 4523/154,8230/7582, numerators are 4523,8230

Denominators are 154,7582

The GCF of 4523,8230 is 1 .

LCM of 154,7582 is 583814.

The greatest common factor of 4523/154,8230/7582 = [GCF of 4523,8230]/[LCM of 154,7582]= 1/583814

Therefore, the GCF of 4523/154,8230/7582 is 1/583814.

Greatest Common Factor of 4523,8230

To find the highest common factor of 4523,8230, we have to find the factors of both numbers and list the highest common factor.

The factors of 4523 are 1, 4523

The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230

The HCF of 4523,8230 is 1.

Lets's calculate GCF of 4523,8230

Greatest Common Factor (GCF) of 4523,8230 By Common Division

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

Greatest Common Factor of 4523,8230 By Matching Biggest Common Factor Method

Now, list down the factors of 4523

1,4523

Now, list down the factors of 8230

1,2,5,10,823,1646,4115,8230

Greatest Common Factor

We found the factors 4523,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 4523,8230 is 1.

Lets's calculate LCM of 154,7582

Lowest Common Multiple of 154,7582 using Common Division

2	154, 7582
	77, 3791

∴ So the LCM of the given numbers is 2 x 77 x 3791 = 583814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583814

Therefore, the GCF of Fractions 4523/154,8230/7582 is 1/583814

Least Common Multiple of 154,7582 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 154,7582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,7582) = 2

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

GCF(154,7582) x common factors =2 x 1 = 2

LCM(154,7582) = ( 154 × 7582 ) / 2

LCM(154,7582) = 1167628 / 2

LCM(154,7582) = 583814

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FAQs on GCF of Fractions of 4523/154, 8230/7582

1. What is the HCF of 4523,8230?

The HCF of 4523,8230 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 4523/154, 8230/7582?

Answer: GCF of Numerators as per given numbers 4523/154, 8230/7582 is

GCF of Numerators i.e. for 4523,8230 is 1

LCM of denominators i.e. for 154,7582 is 583814.

Thus, GCF of Fractions is 1/583814.Finally, GCF of Fractions for 4523/154, 8230/7582 is 1/583814.