How to Find GCF of 4937/840, 3995/3016?

GCF of 4937/840, 3995/3016

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 4937/840, 3995/3016 i.e 1/316680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4937/840, 3995/3016.

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 4937/840,3995/3016?

Given fractions are 4937/840,3995/3016

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 4937/840,3995/3016, numerators are 4937,3995

Denominators are 840,3016

The GCF of 4937,3995 is 1 .

LCM of 840,3016 is 316680.

The greatest common factor of 4937/840,3995/3016 = [GCF of 4937,3995]/[LCM of 840,3016]= 1/316680

Therefore, the GCF of 4937/840,3995/3016 is 1/316680.

Greatest Common Factor of 4937,3995

To find the highest common factor of 4937,3995, we have to find the factors of both numbers and list the highest common factor.

The factors of 4937 are 1, 4937

The factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995

The HCF of 4937,3995 is 1.

Lets's calculate GCF of 4937,3995

Greatest Common Factor (GCF) of 4937,3995 By Common Division

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

Greatest Common Factor of 4937,3995 By Matching Biggest Common Factor Method

Now, list down the factors of 4937

1,4937

Now, list down the factors of 3995

1,5,17,47,85,235,799,3995

Greatest Common Factor

We found the factors 4937,3995 . The biggest common factor number is the GCF number.
So the greatest common factor 4937,3995 is 1.

Lets's calculate LCM of 840,3016

Lowest Common Multiple of 840,3016 using Common Division

2	840, 3016
2	420, 1508
2	210, 754
	105, 377

∴ So the LCM of the given numbers is 2 x 2 x 2 x 105 x 377 = 316680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316680

Therefore, the GCF of Fractions 4937/840,3995/3016 is 1/316680

Least Common Multiple of 840,3016 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 840,3016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,3016) = 8

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

GCF(840,3016) x common factors =8 x 1 = 8

LCM(840,3016) = ( 840 × 3016 ) / 8

LCM(840,3016) = 2533440 / 8

LCM(840,3016) = 316680

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FAQs on GCF of Fractions of 4937/840, 3995/3016

1. What is the HCF of 4937,3995?

The HCF of 4937,3995 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 4937/840, 3995/3016?

Answer: GCF of Numerators as per given numbers 4937/840, 3995/3016 is

GCF of Numerators i.e. for 4937,3995 is 1

LCM of denominators i.e. for 840,3016 is 316680.

Thus, GCF of Fractions is 1/316680.Finally, GCF of Fractions for 4937/840, 3995/3016 is 1/316680.