How to Find GCF of 5937/204, 6175/2929?

GCF of 5937/204, 6175/2929

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 5937/204, 6175/2929 i.e 1/597516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5937/204, 6175/2929.

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 5937/204,6175/2929?

Given fractions are 5937/204,6175/2929

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 5937/204,6175/2929, numerators are 5937,6175

Denominators are 204,2929

The GCF of 5937,6175 is 1 .

LCM of 204,2929 is 597516.

The greatest common factor of 5937/204,6175/2929 = [GCF of 5937,6175]/[LCM of 204,2929]= 1/597516

Therefore, the GCF of 5937/204,6175/2929 is 1/597516.

Greatest Common Factor of 5937,6175

To find the highest common factor of 5937,6175, we have to find the factors of both numbers and list the highest common factor.

The factors of 5937 are 1, 3, 1979, 5937

The factors of 6175 are 1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235, 6175

The HCF of 5937,6175 is 1.

Lets's calculate GCF of 5937,6175

Greatest Common Factor (GCF) of 5937,6175 By Common Division

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

Greatest Common Factor of 5937,6175 By Matching Biggest Common Factor Method

Now, list down the factors of 5937

1,3,1979,5937

Now, list down the factors of 6175

1,5,13,19,25,65,95,247,325,475,1235,6175

Greatest Common Factor

We found the factors 5937,6175 . The biggest common factor number is the GCF number.
So the greatest common factor 5937,6175 is 1.

Lets's calculate LCM of 204,2929

Lowest Common Multiple of 204,2929 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 597516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/597516

Therefore, the GCF of Fractions 5937/204,6175/2929 is 1/597516

Least Common Multiple of 204,2929 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 204,2929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,2929) = 1

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

GCF(204,2929) x common factors =1 x 1 = 1

LCM(204,2929) = ( 204 × 2929 ) / 1

LCM(204,2929) = 597516 / 1

LCM(204,2929) = 597516

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FAQs on GCF of Fractions of 5937/204, 6175/2929

1. What is the HCF of 5937,6175?

The HCF of 5937,6175 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 5937/204, 6175/2929?

Answer: GCF of Numerators as per given numbers 5937/204, 6175/2929 is

GCF of Numerators i.e. for 5937,6175 is 1

LCM of denominators i.e. for 204,2929 is 597516.

Thus, GCF of Fractions is 1/597516.Finally, GCF of Fractions for 5937/204, 6175/2929 is 1/597516.