How to Find GCF of 4579/263, 9098/7630?

GCF of 4579/263, 9098/7630

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 4579/263, 9098/7630 i.e 1/2006690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4579/263, 9098/7630.

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 4579/263,9098/7630?

Given fractions are 4579/263,9098/7630

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 4579/263,9098/7630, numerators are 4579,9098

Denominators are 263,7630

The GCF of 4579,9098 is 1 .

LCM of 263,7630 is 2006690.

The greatest common factor of 4579/263,9098/7630 = [GCF of 4579,9098]/[LCM of 263,7630]= 1/2006690

Therefore, the GCF of 4579/263,9098/7630 is 1/2006690.

Greatest Common Factor of 4579,9098

To find the highest common factor of 4579,9098, we have to find the factors of both numbers and list the highest common factor.

The factors of 4579 are 1, 19, 241, 4579

The factors of 9098 are 1, 2, 4549, 9098

The HCF of 4579,9098 is 1.

Lets's calculate GCF of 4579,9098

Greatest Common Factor (GCF) of 4579,9098 By Common Division

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

Greatest Common Factor of 4579,9098 By Matching Biggest Common Factor Method

Now, list down the factors of 4579

1,19,241,4579

Now, list down the factors of 9098

1,2,4549,9098

Greatest Common Factor

We found the factors 4579,9098 . The biggest common factor number is the GCF number.
So the greatest common factor 4579,9098 is 1.

Lets's calculate LCM of 263,7630

Lowest Common Multiple of 263,7630 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2006690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2006690

Therefore, the GCF of Fractions 4579/263,9098/7630 is 1/2006690

Least Common Multiple of 263,7630 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 263,7630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,7630) = 1

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

GCF(263,7630) x common factors =1 x 1 = 1

LCM(263,7630) = ( 263 × 7630 ) / 1

LCM(263,7630) = 2006690 / 1

LCM(263,7630) = 2006690

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FAQs on GCF of Fractions of 4579/263, 9098/7630

1. What is the HCF of 4579,9098?

The HCF of 4579,9098 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 4579/263, 9098/7630?

Answer: GCF of Numerators as per given numbers 4579/263, 9098/7630 is

GCF of Numerators i.e. for 4579,9098 is 1

LCM of denominators i.e. for 263,7630 is 2006690.

Thus, GCF of Fractions is 1/2006690.Finally, GCF of Fractions for 4579/263, 9098/7630 is 1/2006690.