How to Find GCF of 2937/204, 5210/7372?

GCF of 2937/204, 5210/7372

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 2937/204, 5210/7372 i.e 1/375972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2937/204, 5210/7372.

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 2937/204,5210/7372?

Given fractions are 2937/204,5210/7372

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 2937/204,5210/7372, numerators are 2937,5210

Denominators are 204,7372

The GCF of 2937,5210 is 1 .

LCM of 204,7372 is 375972.

The greatest common factor of 2937/204,5210/7372 = [GCF of 2937,5210]/[LCM of 204,7372]= 1/375972

Therefore, the GCF of 2937/204,5210/7372 is 1/375972.

Greatest Common Factor of 2937,5210

To find the highest common factor of 2937,5210, we have to find the factors of both numbers and list the highest common factor.

The factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937

The factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210

The HCF of 2937,5210 is 1.

Lets's calculate GCF of 2937,5210

Greatest Common Factor (GCF) of 2937,5210 By Common Division

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

Greatest Common Factor of 2937,5210 By Matching Biggest Common Factor Method

Now, list down the factors of 2937

1,3,11,33,89,267,979,2937

Now, list down the factors of 5210

1,2,5,10,521,1042,2605,5210

Greatest Common Factor

We found the factors 2937,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 2937,5210 is 1.

Lets's calculate LCM of 204,7372

Lowest Common Multiple of 204,7372 using Common Division

2	204, 7372
2	102, 3686
	51, 1843

∴ So the LCM of the given numbers is 2 x 2 x 51 x 1843 = 375972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375972

Therefore, the GCF of Fractions 2937/204,5210/7372 is 1/375972

Least Common Multiple of 204,7372 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 204,7372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,7372) = 4

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

GCF(204,7372) x common factors =4 x 1 = 4

LCM(204,7372) = ( 204 × 7372 ) / 4

LCM(204,7372) = 1503888 / 4

LCM(204,7372) = 375972

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FAQs on GCF of Fractions of 2937/204, 5210/7372

1. What is the HCF of 2937,5210?

The HCF of 2937,5210 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 2937/204, 5210/7372?

Answer: GCF of Numerators as per given numbers 2937/204, 5210/7372 is

GCF of Numerators i.e. for 2937,5210 is 1

LCM of denominators i.e. for 204,7372 is 375972.

Thus, GCF of Fractions is 1/375972.Finally, GCF of Fractions for 2937/204, 5210/7372 is 1/375972.