How to Find GCF of 572/271, 3498/902?

GCF of 572/271, 3498/902

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 572/271, 3498/902 i.e 22/244442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/271, 3498/902.

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 572/271,3498/902?

Given fractions are 572/271,3498/902

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 572/271,3498/902, numerators are 572,3498

Denominators are 271,902

The GCF of 572,3498 is 22 .

LCM of 271,902 is 244442.

The greatest common factor of 572/271,3498/902 = [GCF of 572,3498]/[LCM of 271,902]= 22/244442

Therefore, the GCF of 572/271,3498/902 is 22/244442.

Greatest Common Factor of 572,3498

To find the highest common factor of 572,3498, we have to find the factors of both numbers and list the highest common factor.

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498

The HCF of 572,3498 is 22.

Lets's calculate GCF of 572,3498

Greatest Common Factor (GCF) of 572,3498 By Common Division

2	572, 3498
11	286, 1749
	26, 159

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 572,3498 By Matching Biggest Common Factor Method

Now, list down the factors of 572

1,2,4,11,13,22,26,44,52,143,286,572

Now, list down the factors of 3498

1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498

Greatest Common Factor

We found the factors 572,3498 . The biggest common factor number is the GCF number.
So the greatest common factor 572,3498 is 22.

Lets's calculate LCM of 271,902

Lowest Common Multiple of 271,902 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 244442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/244442

Therefore, the GCF of Fractions 572/271,3498/902 is 22/244442

Least Common Multiple of 271,902 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 271,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,902) = 1

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

GCF(271,902) x common factors =1 x 1 = 1

LCM(271,902) = ( 271 × 902 ) / 1

LCM(271,902) = 244442 / 1

LCM(271,902) = 244442

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FAQs on GCF of Fractions of 572/271, 3498/902

1. What is the HCF of 572,3498?

The HCF of 572,3498 is 22

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 572/271, 3498/902?

Answer: GCF of Numerators as per given numbers 572/271, 3498/902 is

GCF of Numerators i.e. for 572,3498 is 22

LCM of denominators i.e. for 271,902 is 244442.

Thus, GCF of Fractions is 22/244442.Finally, GCF of Fractions for 572/271, 3498/902 is 22/244442.