How to Find GCF of 4635/334, 2179/9977?

GCF of 4635/334, 2179/9977

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 4635/334, 2179/9977 i.e 1/3332318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4635/334, 2179/9977.

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 4635/334,2179/9977?

Given fractions are 4635/334,2179/9977

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 4635/334,2179/9977, numerators are 4635,2179

Denominators are 334,9977

The GCF of 4635,2179 is 1 .

LCM of 334,9977 is 3332318.

The greatest common factor of 4635/334,2179/9977 = [GCF of 4635,2179]/[LCM of 334,9977]= 1/3332318

Therefore, the GCF of 4635/334,2179/9977 is 1/3332318.

Greatest Common Factor of 4635,2179

To find the highest common factor of 4635,2179, we have to find the factors of both numbers and list the highest common factor.

The factors of 4635 are 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635

The factors of 2179 are 1, 2179

The HCF of 4635,2179 is 1.

Lets's calculate GCF of 4635,2179

Greatest Common Factor (GCF) of 4635,2179 By Common Division

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

Greatest Common Factor of 4635,2179 By Matching Biggest Common Factor Method

Now, list down the factors of 4635

1,3,5,9,15,45,103,309,515,927,1545,4635

Now, list down the factors of 2179

1,2179

Greatest Common Factor

We found the factors 4635,2179 . The biggest common factor number is the GCF number.
So the greatest common factor 4635,2179 is 1.

Lets's calculate LCM of 334,9977

Lowest Common Multiple of 334,9977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3332318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3332318

Therefore, the GCF of Fractions 4635/334,2179/9977 is 1/3332318

Least Common Multiple of 334,9977 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 334,9977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,9977) = 1

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

GCF(334,9977) x common factors =1 x 1 = 1

LCM(334,9977) = ( 334 × 9977 ) / 1

LCM(334,9977) = 3332318 / 1

LCM(334,9977) = 3332318

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FAQs on GCF of Fractions of 4635/334, 2179/9977

1. What is the HCF of 4635,2179?

The HCF of 4635,2179 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 4635/334, 2179/9977?

Answer: GCF of Numerators as per given numbers 4635/334, 2179/9977 is

GCF of Numerators i.e. for 4635,2179 is 1

LCM of denominators i.e. for 334,9977 is 3332318.

Thus, GCF of Fractions is 1/3332318.Finally, GCF of Fractions for 4635/334, 2179/9977 is 1/3332318.