How to Find GCF of 4958/989, 4661/7565?

GCF of 4958/989, 4661/7565

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 4958/989, 4661/7565 i.e 1/7481785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4958/989, 4661/7565.

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 4958/989,4661/7565?

Given fractions are 4958/989,4661/7565

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 4958/989,4661/7565, numerators are 4958,4661

Denominators are 989,7565

The GCF of 4958,4661 is 1 .

LCM of 989,7565 is 7481785.

The greatest common factor of 4958/989,4661/7565 = [GCF of 4958,4661]/[LCM of 989,7565]= 1/7481785

Therefore, the GCF of 4958/989,4661/7565 is 1/7481785.

Greatest Common Factor of 4958,4661

To find the highest common factor of 4958,4661, we have to find the factors of both numbers and list the highest common factor.

The factors of 4958 are 1, 2, 37, 67, 74, 134, 2479, 4958

The factors of 4661 are 1, 59, 79, 4661

The HCF of 4958,4661 is 1.

Lets's calculate GCF of 4958,4661

Greatest Common Factor (GCF) of 4958,4661 By Common Division

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

Greatest Common Factor of 4958,4661 By Matching Biggest Common Factor Method

Now, list down the factors of 4958

1,2,37,67,74,134,2479,4958

Now, list down the factors of 4661

1,59,79,4661

Greatest Common Factor

We found the factors 4958,4661 . The biggest common factor number is the GCF number.
So the greatest common factor 4958,4661 is 1.

Lets's calculate LCM of 989,7565

Lowest Common Multiple of 989,7565 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7481785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7481785

Therefore, the GCF of Fractions 4958/989,4661/7565 is 1/7481785

Least Common Multiple of 989,7565 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 989,7565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,7565) = 1

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

GCF(989,7565) x common factors =1 x 1 = 1

LCM(989,7565) = ( 989 × 7565 ) / 1

LCM(989,7565) = 7481785 / 1

LCM(989,7565) = 7481785

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FAQs on GCF of Fractions of 4958/989, 4661/7565

1. What is the HCF of 4958,4661?

The HCF of 4958,4661 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 4958/989, 4661/7565?

Answer: GCF of Numerators as per given numbers 4958/989, 4661/7565 is

GCF of Numerators i.e. for 4958,4661 is 1

LCM of denominators i.e. for 989,7565 is 7481785.

Thus, GCF of Fractions is 1/7481785.Finally, GCF of Fractions for 4958/989, 4661/7565 is 1/7481785.