How to Find GCF of 242/921, 682/380?

GCF of 242/921, 682/380

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 242/921, 682/380 i.e 22/349980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 242/921, 682/380.

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 242/921,682/380?

Given fractions are 242/921,682/380

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 242/921,682/380, numerators are 242,682

Denominators are 921,380

The GCF of 242,682 is 22 .

LCM of 921,380 is 349980.

The greatest common factor of 242/921,682/380 = [GCF of 242,682]/[LCM of 921,380]= 22/349980

Therefore, the GCF of 242/921,682/380 is 22/349980.

Greatest Common Factor of 242,682

To find the highest common factor of 242,682, we have to find the factors of both numbers and list the highest common factor.

The factors of 242 are 1, 2, 11, 22, 121, 242

The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682

The HCF of 242,682 is 22.

Lets's calculate GCF of 242,682

Greatest Common Factor (GCF) of 242,682 By Common Division

2	242, 682
11	121, 341
	11, 31

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

Greatest Common Factor of 242,682 By Matching Biggest Common Factor Method

Now, list down the factors of 242

1,2,11,22,121,242

Now, list down the factors of 682

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 242,682 . The biggest common factor number is the GCF number.
So the greatest common factor 242,682 is 22.

Lets's calculate LCM of 921,380

Lowest Common Multiple of 921,380 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 349980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/349980

Therefore, the GCF of Fractions 242/921,682/380 is 22/349980

Least Common Multiple of 921,380 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 921,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,380) = 1

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

GCF(921,380) x common factors =1 x 1 = 1

LCM(921,380) = ( 921 × 380 ) / 1

LCM(921,380) = 349980 / 1

LCM(921,380) = 349980

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FAQs on GCF of Fractions of 242/921, 682/380

1. What is the HCF of 242,682?

The HCF of 242,682 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 242/921, 682/380?

Answer: GCF of Numerators as per given numbers 242/921, 682/380 is

GCF of Numerators i.e. for 242,682 is 22

LCM of denominators i.e. for 921,380 is 349980.

Thus, GCF of Fractions is 22/349980.Finally, GCF of Fractions for 242/921, 682/380 is 22/349980.