How to Find GCF of 6419/242, 9741/8932?

GCF of 6419/242, 9741/8932

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 6419/242, 9741/8932 i.e 1/98252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6419/242, 9741/8932.

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 6419/242,9741/8932?

Given fractions are 6419/242,9741/8932

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 6419/242,9741/8932, numerators are 6419,9741

Denominators are 242,8932

The GCF of 6419,9741 is 1 .

LCM of 242,8932 is 98252.

The greatest common factor of 6419/242,9741/8932 = [GCF of 6419,9741]/[LCM of 242,8932]= 1/98252

Therefore, the GCF of 6419/242,9741/8932 is 1/98252.

Greatest Common Factor of 6419,9741

To find the highest common factor of 6419,9741, we have to find the factors of both numbers and list the highest common factor.

The factors of 6419 are 1, 7, 49, 131, 917, 6419

The factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741

The HCF of 6419,9741 is 1.

Lets's calculate GCF of 6419,9741

Greatest Common Factor (GCF) of 6419,9741 By Common Division

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

Greatest Common Factor of 6419,9741 By Matching Biggest Common Factor Method

Now, list down the factors of 6419

1,7,49,131,917,6419

Now, list down the factors of 9741

1,3,17,51,191,573,3247,9741

Greatest Common Factor

We found the factors 6419,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 6419,9741 is 1.

Lets's calculate LCM of 242,8932

Lowest Common Multiple of 242,8932 using Common Division

2	242, 8932
11	121, 4466
	11, 406

∴ So the LCM of the given numbers is 2 x 11 x 11 x 406 = 98252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98252

Therefore, the GCF of Fractions 6419/242,9741/8932 is 1/98252

Least Common Multiple of 242,8932 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 242,8932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,8932) = 22

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

GCF(242,8932) x common factors =22 x 1 = 22

LCM(242,8932) = ( 242 × 8932 ) / 22

LCM(242,8932) = 2161544 / 22

LCM(242,8932) = 98252

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FAQs on GCF of Fractions of 6419/242, 9741/8932

1. What is the HCF of 6419,9741?

The HCF of 6419,9741 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 6419/242, 9741/8932?

Answer: GCF of Numerators as per given numbers 6419/242, 9741/8932 is

GCF of Numerators i.e. for 6419,9741 is 1

LCM of denominators i.e. for 242,8932 is 98252.

Thus, GCF of Fractions is 1/98252.Finally, GCF of Fractions for 6419/242, 9741/8932 is 1/98252.