How to Find GCF of 4686/191, 6983/9032?

GCF of 4686/191, 6983/9032

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 4686/191, 6983/9032 i.e 1/1725112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4686/191, 6983/9032.

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 4686/191,6983/9032?

Given fractions are 4686/191,6983/9032

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 4686/191,6983/9032, numerators are 4686,6983

Denominators are 191,9032

The GCF of 4686,6983 is 1 .

LCM of 191,9032 is 1725112.

The greatest common factor of 4686/191,6983/9032 = [GCF of 4686,6983]/[LCM of 191,9032]= 1/1725112

Therefore, the GCF of 4686/191,6983/9032 is 1/1725112.

Greatest Common Factor of 4686,6983

To find the highest common factor of 4686,6983, we have to find the factors of both numbers and list the highest common factor.

The factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686

The factors of 6983 are 1, 6983

The HCF of 4686,6983 is 1.

Lets's calculate GCF of 4686,6983

Greatest Common Factor (GCF) of 4686,6983 By Common Division

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

Greatest Common Factor of 4686,6983 By Matching Biggest Common Factor Method

Now, list down the factors of 4686

1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686

Now, list down the factors of 6983

1,6983

Greatest Common Factor

We found the factors 4686,6983 . The biggest common factor number is the GCF number.
So the greatest common factor 4686,6983 is 1.

Lets's calculate LCM of 191,9032

Lowest Common Multiple of 191,9032 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1725112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1725112

Therefore, the GCF of Fractions 4686/191,6983/9032 is 1/1725112

Least Common Multiple of 191,9032 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 191,9032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,9032) = 1

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

GCF(191,9032) x common factors =1 x 1 = 1

LCM(191,9032) = ( 191 × 9032 ) / 1

LCM(191,9032) = 1725112 / 1

LCM(191,9032) = 1725112

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4686/191, 6983/9032

1. What is the HCF of 4686,6983?

The HCF of 4686,6983 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 4686/191, 6983/9032?

Answer: GCF of Numerators as per given numbers 4686/191, 6983/9032 is

GCF of Numerators i.e. for 4686,6983 is 1

LCM of denominators i.e. for 191,9032 is 1725112.

Thus, GCF of Fractions is 1/1725112.Finally, GCF of Fractions for 4686/191, 6983/9032 is 1/1725112.