How to Find GCF of 4911/961, 4108/9049?

GCF of 4911/961, 4108/9049

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 4911/961, 4108/9049 i.e 1/8696089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4911/961, 4108/9049.

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 4911/961,4108/9049?

Given fractions are 4911/961,4108/9049

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 4911/961,4108/9049, numerators are 4911,4108

Denominators are 961,9049

The GCF of 4911,4108 is 1 .

LCM of 961,9049 is 8696089.

The greatest common factor of 4911/961,4108/9049 = [GCF of 4911,4108]/[LCM of 961,9049]= 1/8696089

Therefore, the GCF of 4911/961,4108/9049 is 1/8696089.

Greatest Common Factor of 4911,4108

To find the highest common factor of 4911,4108, we have to find the factors of both numbers and list the highest common factor.

The factors of 4911 are 1, 3, 1637, 4911

The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108

The HCF of 4911,4108 is 1.

Lets's calculate GCF of 4911,4108

Greatest Common Factor (GCF) of 4911,4108 By Common Division

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

Greatest Common Factor of 4911,4108 By Matching Biggest Common Factor Method

Now, list down the factors of 4911

1,3,1637,4911

Now, list down the factors of 4108

1,2,4,13,26,52,79,158,316,1027,2054,4108

Greatest Common Factor

We found the factors 4911,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 4911,4108 is 1.

Lets's calculate LCM of 961,9049

Lowest Common Multiple of 961,9049 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8696089

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8696089

Therefore, the GCF of Fractions 4911/961,4108/9049 is 1/8696089

Least Common Multiple of 961,9049 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 961,9049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,9049) = 1

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

GCF(961,9049) x common factors =1 x 1 = 1

LCM(961,9049) = ( 961 × 9049 ) / 1

LCM(961,9049) = 8696089 / 1

LCM(961,9049) = 8696089

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FAQs on GCF of Fractions of 4911/961, 4108/9049

1. What is the HCF of 4911,4108?

The HCF of 4911,4108 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 4911/961, 4108/9049?

Answer: GCF of Numerators as per given numbers 4911/961, 4108/9049 is

GCF of Numerators i.e. for 4911,4108 is 1

LCM of denominators i.e. for 961,9049 is 8696089.

Thus, GCF of Fractions is 1/8696089.Finally, GCF of Fractions for 4911/961, 4108/9049 is 1/8696089.