How to Find GCF of 9937/407, 7141/9086?

GCF of 9937/407, 7141/9086

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 9937/407, 7141/9086 i.e 1/336182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9937/407, 7141/9086.

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 9937/407,7141/9086?

Given fractions are 9937/407,7141/9086

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 9937/407,7141/9086, numerators are 9937,7141

Denominators are 407,9086

The GCF of 9937,7141 is 1 .

LCM of 407,9086 is 336182.

The greatest common factor of 9937/407,7141/9086 = [GCF of 9937,7141]/[LCM of 407,9086]= 1/336182

Therefore, the GCF of 9937/407,7141/9086 is 1/336182.

Greatest Common Factor of 9937,7141

To find the highest common factor of 9937,7141, we have to find the factors of both numbers and list the highest common factor.

The factors of 9937 are 1, 19, 523, 9937

The factors of 7141 are 1, 37, 193, 7141

The HCF of 9937,7141 is 1.

Lets's calculate GCF of 9937,7141

Greatest Common Factor (GCF) of 9937,7141 By Common Division

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

Greatest Common Factor of 9937,7141 By Matching Biggest Common Factor Method

Now, list down the factors of 9937

1,19,523,9937

Now, list down the factors of 7141

1,37,193,7141

Greatest Common Factor

We found the factors 9937,7141 . The biggest common factor number is the GCF number.
So the greatest common factor 9937,7141 is 1.

Lets's calculate LCM of 407,9086

Lowest Common Multiple of 407,9086 using Common Division

11	407, 9086
	37, 826

∴ So the LCM of the given numbers is 11 x 37 x 826 = 336182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336182

Therefore, the GCF of Fractions 9937/407,7141/9086 is 1/336182

Least Common Multiple of 407,9086 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 407,9086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,9086) = 11

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

GCF(407,9086) x common factors =11 x 1 = 11

LCM(407,9086) = ( 407 × 9086 ) / 11

LCM(407,9086) = 3698002 / 11

LCM(407,9086) = 336182

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FAQs on GCF of Fractions of 9937/407, 7141/9086

1. What is the HCF of 9937,7141?

The HCF of 9937,7141 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 9937/407, 7141/9086?

Answer: GCF of Numerators as per given numbers 9937/407, 7141/9086 is

GCF of Numerators i.e. for 9937,7141 is 1

LCM of denominators i.e. for 407,9086 is 336182.

Thus, GCF of Fractions is 1/336182.Finally, GCF of Fractions for 9937/407, 7141/9086 is 1/336182.