How to Find GCF of 7211/572, 3737/8518?

GCF of 7211/572, 3737/8518

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 7211/572, 3737/8518 i.e 1/2436148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7211/572, 3737/8518.

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 7211/572,3737/8518?

Given fractions are 7211/572,3737/8518

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 7211/572,3737/8518, numerators are 7211,3737

Denominators are 572,8518

The GCF of 7211,3737 is 1 .

LCM of 572,8518 is 2436148.

The greatest common factor of 7211/572,3737/8518 = [GCF of 7211,3737]/[LCM of 572,8518]= 1/2436148

Therefore, the GCF of 7211/572,3737/8518 is 1/2436148.

Greatest Common Factor of 7211,3737

To find the highest common factor of 7211,3737, we have to find the factors of both numbers and list the highest common factor.

The factors of 7211 are 1, 7211

The factors of 3737 are 1, 37, 101, 3737

The HCF of 7211,3737 is 1.

Lets's calculate GCF of 7211,3737

Greatest Common Factor (GCF) of 7211,3737 By Common Division

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

Greatest Common Factor of 7211,3737 By Matching Biggest Common Factor Method

Now, list down the factors of 7211

1,7211

Now, list down the factors of 3737

1,37,101,3737

Greatest Common Factor

We found the factors 7211,3737 . The biggest common factor number is the GCF number.
So the greatest common factor 7211,3737 is 1.

Lets's calculate LCM of 572,8518

Lowest Common Multiple of 572,8518 using Common Division

2	572, 8518
	286, 4259

∴ So the LCM of the given numbers is 2 x 286 x 4259 = 2436148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2436148

Therefore, the GCF of Fractions 7211/572,3737/8518 is 1/2436148

Least Common Multiple of 572,8518 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 572,8518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,8518) = 2

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

GCF(572,8518) x common factors =2 x 1 = 2

LCM(572,8518) = ( 572 × 8518 ) / 2

LCM(572,8518) = 4872296 / 2

LCM(572,8518) = 2436148

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FAQs on GCF of Fractions of 7211/572, 3737/8518

1. What is the HCF of 7211,3737?

The HCF of 7211,3737 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 7211/572, 3737/8518?

Answer: GCF of Numerators as per given numbers 7211/572, 3737/8518 is

GCF of Numerators i.e. for 7211,3737 is 1

LCM of denominators i.e. for 572,8518 is 2436148.

Thus, GCF of Fractions is 1/2436148.Finally, GCF of Fractions for 7211/572, 3737/8518 is 1/2436148.