How to Find GCF of 9442/846, 5258/6415?

GCF of 9442/846, 5258/6415

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 9442/846, 5258/6415 i.e 2/5427090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9442/846, 5258/6415.

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 9442/846,5258/6415?

Given fractions are 9442/846,5258/6415

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 9442/846,5258/6415, numerators are 9442,5258

Denominators are 846,6415

The GCF of 9442,5258 is 2 .

LCM of 846,6415 is 5427090.

The greatest common factor of 9442/846,5258/6415 = [GCF of 9442,5258]/[LCM of 846,6415]= 2/5427090

Therefore, the GCF of 9442/846,5258/6415 is 2/5427090.

Greatest Common Factor of 9442,5258

To find the highest common factor of 9442,5258, we have to find the factors of both numbers and list the highest common factor.

The factors of 9442 are 1, 2, 4721, 9442

The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258

The HCF of 9442,5258 is 2.

Lets's calculate GCF of 9442,5258

Greatest Common Factor (GCF) of 9442,5258 By Common Division

2	9442, 5258
	4721, 2629

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9442,5258 By Matching Biggest Common Factor Method

Now, list down the factors of 9442

1,2,4721,9442

Now, list down the factors of 5258

1,2,11,22,239,478,2629,5258

Greatest Common Factor

We found the factors 9442,5258 . The biggest common factor number is the GCF number.
So the greatest common factor 9442,5258 is 2.

Lets's calculate LCM of 846,6415

Lowest Common Multiple of 846,6415 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5427090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5427090

Therefore, the GCF of Fractions 9442/846,5258/6415 is 2/5427090

Least Common Multiple of 846,6415 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 846,6415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,6415) = 1

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

GCF(846,6415) x common factors =1 x 1 = 1

LCM(846,6415) = ( 846 × 6415 ) / 1

LCM(846,6415) = 5427090 / 1

LCM(846,6415) = 5427090

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FAQs on GCF of Fractions of 9442/846, 5258/6415

1. What is the HCF of 9442,5258?

The HCF of 9442,5258 is 2

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 9442/846, 5258/6415?

Answer: GCF of Numerators as per given numbers 9442/846, 5258/6415 is

GCF of Numerators i.e. for 9442,5258 is 2

LCM of denominators i.e. for 846,6415 is 5427090.

Thus, GCF of Fractions is 2/5427090.Finally, GCF of Fractions for 9442/846, 5258/6415 is 2/5427090.