How to Find GCF of 4241/911, 6937/4993?

GCF of 4241/911, 6937/4993

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 4241/911, 6937/4993 i.e 1/4548623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4241/911, 6937/4993.

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 4241/911,6937/4993?

Given fractions are 4241/911,6937/4993

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 4241/911,6937/4993, numerators are 4241,6937

Denominators are 911,4993

The GCF of 4241,6937 is 1 .

LCM of 911,4993 is 4548623.

The greatest common factor of 4241/911,6937/4993 = [GCF of 4241,6937]/[LCM of 911,4993]= 1/4548623

Therefore, the GCF of 4241/911,6937/4993 is 1/4548623.

Greatest Common Factor of 4241,6937

To find the highest common factor of 4241,6937, we have to find the factors of both numbers and list the highest common factor.

The factors of 4241 are 1, 4241

The factors of 6937 are 1, 7, 991, 6937

The HCF of 4241,6937 is 1.

Lets's calculate GCF of 4241,6937

Greatest Common Factor (GCF) of 4241,6937 By Common Division

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

Greatest Common Factor of 4241,6937 By Matching Biggest Common Factor Method

Now, list down the factors of 4241

1,4241

Now, list down the factors of 6937

1,7,991,6937

Greatest Common Factor

We found the factors 4241,6937 . The biggest common factor number is the GCF number.
So the greatest common factor 4241,6937 is 1.

Lets's calculate LCM of 911,4993

Lowest Common Multiple of 911,4993 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4548623

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4548623

Therefore, the GCF of Fractions 4241/911,6937/4993 is 1/4548623

Least Common Multiple of 911,4993 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 911,4993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,4993) = 1

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

GCF(911,4993) x common factors =1 x 1 = 1

LCM(911,4993) = ( 911 × 4993 ) / 1

LCM(911,4993) = 4548623 / 1

LCM(911,4993) = 4548623

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FAQs on GCF of Fractions of 4241/911, 6937/4993

1. What is the HCF of 4241,6937?

The HCF of 4241,6937 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 4241/911, 6937/4993?

Answer: GCF of Numerators as per given numbers 4241/911, 6937/4993 is

GCF of Numerators i.e. for 4241,6937 is 1

LCM of denominators i.e. for 911,4993 is 4548623.

Thus, GCF of Fractions is 1/4548623.Finally, GCF of Fractions for 4241/911, 6937/4993 is 1/4548623.