How to Find GCF of 521/236, 1308/2950?

GCF of 521/236, 1308/2950

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 521/236, 1308/2950 i.e 1/5900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 521/236, 1308/2950.

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 521/236,1308/2950?

Given fractions are 521/236,1308/2950

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 521/236,1308/2950, numerators are 521,1308

Denominators are 236,2950

The GCF of 521,1308 is 1 .

LCM of 236,2950 is 5900.

The greatest common factor of 521/236,1308/2950 = [GCF of 521,1308]/[LCM of 236,2950]= 1/5900

Therefore, the GCF of 521/236,1308/2950 is 1/5900.

Greatest Common Factor of 521,1308

To find the highest common factor of 521,1308, we have to find the factors of both numbers and list the highest common factor.

The factors of 521 are 1, 521

The factors of 1308 are 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308

The HCF of 521,1308 is 1.

Lets's calculate GCF of 521,1308

Greatest Common Factor (GCF) of 521,1308 By Common Division

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

Greatest Common Factor of 521,1308 By Matching Biggest Common Factor Method

Now, list down the factors of 521

1,521

Now, list down the factors of 1308

1,2,3,4,6,12,109,218,327,436,654,1308

Greatest Common Factor

We found the factors 521,1308 . The biggest common factor number is the GCF number.
So the greatest common factor 521,1308 is 1.

Lets's calculate LCM of 236,2950

Lowest Common Multiple of 236,2950 using Common Division

2	236, 2950
59	118, 1475
	2, 25

∴ So the LCM of the given numbers is 2 x 59 x 2 x 25 = 5900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5900

Therefore, the GCF of Fractions 521/236,1308/2950 is 1/5900

Least Common Multiple of 236,2950 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 236,2950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,2950) = 118

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

GCF(236,2950) x common factors =118 x 1 = 118

LCM(236,2950) = ( 236 × 2950 ) / 118

LCM(236,2950) = 696200 / 118

LCM(236,2950) = 5900

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FAQs on GCF of Fractions of 521/236, 1308/2950

1. What is the HCF of 521,1308?

The HCF of 521,1308 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 521/236, 1308/2950?

Answer: GCF of Numerators as per given numbers 521/236, 1308/2950 is

GCF of Numerators i.e. for 521,1308 is 1

LCM of denominators i.e. for 236,2950 is 5900.

Thus, GCF of Fractions is 1/5900.Finally, GCF of Fractions for 521/236, 1308/2950 is 1/5900.