How to Find GCF of 8947/242, 7024/3421?

GCF of 8947/242, 7024/3421

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 8947/242, 7024/3421 i.e 1/75262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8947/242, 7024/3421.

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 8947/242,7024/3421?

Given fractions are 8947/242,7024/3421

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 8947/242,7024/3421, numerators are 8947,7024

Denominators are 242,3421

The GCF of 8947,7024 is 1 .

LCM of 242,3421 is 75262.

The greatest common factor of 8947/242,7024/3421 = [GCF of 8947,7024]/[LCM of 242,3421]= 1/75262

Therefore, the GCF of 8947/242,7024/3421 is 1/75262.

Greatest Common Factor of 8947,7024

To find the highest common factor of 8947,7024, we have to find the factors of both numbers and list the highest common factor.

The factors of 8947 are 1, 23, 389, 8947

The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024

The HCF of 8947,7024 is 1.

Lets's calculate GCF of 8947,7024

Greatest Common Factor (GCF) of 8947,7024 By Common Division

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

Greatest Common Factor of 8947,7024 By Matching Biggest Common Factor Method

Now, list down the factors of 8947

1,23,389,8947

Now, list down the factors of 7024

1,2,4,8,16,439,878,1756,3512,7024

Greatest Common Factor

We found the factors 8947,7024 . The biggest common factor number is the GCF number.
So the greatest common factor 8947,7024 is 1.

Lets's calculate LCM of 242,3421

Lowest Common Multiple of 242,3421 using Common Division

11	242, 3421
	22, 311

∴ So the LCM of the given numbers is 11 x 22 x 311 = 75262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75262

Therefore, the GCF of Fractions 8947/242,7024/3421 is 1/75262

Least Common Multiple of 242,3421 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 242,3421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,3421) = 11

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

GCF(242,3421) x common factors =11 x 1 = 11

LCM(242,3421) = ( 242 × 3421 ) / 11

LCM(242,3421) = 827882 / 11

LCM(242,3421) = 75262

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FAQs on GCF of Fractions of 8947/242, 7024/3421

1. What is the HCF of 8947,7024?

The HCF of 8947,7024 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 8947/242, 7024/3421?

Answer: GCF of Numerators as per given numbers 8947/242, 7024/3421 is

GCF of Numerators i.e. for 8947,7024 is 1

LCM of denominators i.e. for 242,3421 is 75262.

Thus, GCF of Fractions is 1/75262.Finally, GCF of Fractions for 8947/242, 7024/3421 is 1/75262.