How to Find GCF of 1886/661, 9937/5013?

GCF of 1886/661, 9937/5013

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 1886/661, 9937/5013 i.e 1/3313593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1886/661, 9937/5013.

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 1886/661,9937/5013?

Given fractions are 1886/661,9937/5013

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 1886/661,9937/5013, numerators are 1886,9937

Denominators are 661,5013

The GCF of 1886,9937 is 1 .

LCM of 661,5013 is 3313593.

The greatest common factor of 1886/661,9937/5013 = [GCF of 1886,9937]/[LCM of 661,5013]= 1/3313593

Therefore, the GCF of 1886/661,9937/5013 is 1/3313593.

Greatest Common Factor of 1886,9937

To find the highest common factor of 1886,9937, we have to find the factors of both numbers and list the highest common factor.

The factors of 1886 are 1, 2, 23, 41, 46, 82, 943, 1886

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

The HCF of 1886,9937 is 1.

Lets's calculate GCF of 1886,9937

Greatest Common Factor (GCF) of 1886,9937 By Common Division

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

Greatest Common Factor of 1886,9937 By Matching Biggest Common Factor Method

Now, list down the factors of 1886

1,2,23,41,46,82,943,1886

Now, list down the factors of 9937

1,19,523,9937

Greatest Common Factor

We found the factors 1886,9937 . The biggest common factor number is the GCF number.
So the greatest common factor 1886,9937 is 1.

Lets's calculate LCM of 661,5013

Lowest Common Multiple of 661,5013 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3313593

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3313593

Therefore, the GCF of Fractions 1886/661,9937/5013 is 1/3313593

Least Common Multiple of 661,5013 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 661,5013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,5013) = 1

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

GCF(661,5013) x common factors =1 x 1 = 1

LCM(661,5013) = ( 661 × 5013 ) / 1

LCM(661,5013) = 3313593 / 1

LCM(661,5013) = 3313593

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FAQs on GCF of Fractions of 1886/661, 9937/5013

1. What is the HCF of 1886,9937?

The HCF of 1886,9937 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 1886/661, 9937/5013?

Answer: GCF of Numerators as per given numbers 1886/661, 9937/5013 is

GCF of Numerators i.e. for 1886,9937 is 1

LCM of denominators i.e. for 661,5013 is 3313593.

Thus, GCF of Fractions is 1/3313593.Finally, GCF of Fractions for 1886/661, 9937/5013 is 1/3313593.