How to Find GCF of 3359/116, 4374/3128?

GCF of 3359/116, 4374/3128

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 3359/116, 4374/3128 i.e 1/90712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3359/116, 4374/3128.

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 3359/116,4374/3128?

Given fractions are 3359/116,4374/3128

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 3359/116,4374/3128, numerators are 3359,4374

Denominators are 116,3128

The GCF of 3359,4374 is 1 .

LCM of 116,3128 is 90712.

The greatest common factor of 3359/116,4374/3128 = [GCF of 3359,4374]/[LCM of 116,3128]= 1/90712

Therefore, the GCF of 3359/116,4374/3128 is 1/90712.

Greatest Common Factor of 3359,4374

To find the highest common factor of 3359,4374, we have to find the factors of both numbers and list the highest common factor.

The factors of 3359 are 1, 3359

The factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374

The HCF of 3359,4374 is 1.

Lets's calculate GCF of 3359,4374

Greatest Common Factor (GCF) of 3359,4374 By Common Division

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

Greatest Common Factor of 3359,4374 By Matching Biggest Common Factor Method

Now, list down the factors of 3359

1,3359

Now, list down the factors of 4374

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Greatest Common Factor

We found the factors 3359,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 3359,4374 is 1.

Lets's calculate LCM of 116,3128

Lowest Common Multiple of 116,3128 using Common Division

2	116, 3128
2	58, 1564
	29, 782

∴ So the LCM of the given numbers is 2 x 2 x 29 x 782 = 90712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90712

Therefore, the GCF of Fractions 3359/116,4374/3128 is 1/90712

Least Common Multiple of 116,3128 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 116,3128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,3128) = 4

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

GCF(116,3128) x common factors =4 x 1 = 4

LCM(116,3128) = ( 116 × 3128 ) / 4

LCM(116,3128) = 362848 / 4

LCM(116,3128) = 90712

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FAQs on GCF of Fractions of 3359/116, 4374/3128

1. What is the HCF of 3359,4374?

The HCF of 3359,4374 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 3359/116, 4374/3128?

Answer: GCF of Numerators as per given numbers 3359/116, 4374/3128 is

GCF of Numerators i.e. for 3359,4374 is 1

LCM of denominators i.e. for 116,3128 is 90712.

Thus, GCF of Fractions is 1/90712.Finally, GCF of Fractions for 3359/116, 4374/3128 is 1/90712.