How to Find GCF of 4786/916, 9236/6667?

GCF of 4786/916, 9236/6667

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 4786/916, 9236/6667 i.e 2/6106972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4786/916, 9236/6667.

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 4786/916,9236/6667?

Given fractions are 4786/916,9236/6667

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 4786/916,9236/6667, numerators are 4786,9236

Denominators are 916,6667

The GCF of 4786,9236 is 2 .

LCM of 916,6667 is 6106972.

The greatest common factor of 4786/916,9236/6667 = [GCF of 4786,9236]/[LCM of 916,6667]= 2/6106972

Therefore, the GCF of 4786/916,9236/6667 is 2/6106972.

Greatest Common Factor of 4786,9236

To find the highest common factor of 4786,9236, we have to find the factors of both numbers and list the highest common factor.

The factors of 4786 are 1, 2, 2393, 4786

The factors of 9236 are 1, 2, 4, 2309, 4618, 9236

The HCF of 4786,9236 is 2.

Lets's calculate GCF of 4786,9236

Greatest Common Factor (GCF) of 4786,9236 By Common Division

2	4786, 9236
	2393, 4618

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4786,9236 By Matching Biggest Common Factor Method

Now, list down the factors of 4786

1,2,2393,4786

Now, list down the factors of 9236

1,2,4,2309,4618,9236

Greatest Common Factor

We found the factors 4786,9236 . The biggest common factor number is the GCF number.
So the greatest common factor 4786,9236 is 2.

Lets's calculate LCM of 916,6667

Lowest Common Multiple of 916,6667 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6106972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6106972

Therefore, the GCF of Fractions 4786/916,9236/6667 is 2/6106972

Least Common Multiple of 916,6667 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 916,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,6667) = 1

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

GCF(916,6667) x common factors =1 x 1 = 1

LCM(916,6667) = ( 916 × 6667 ) / 1

LCM(916,6667) = 6106972 / 1

LCM(916,6667) = 6106972

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FAQs on GCF of Fractions of 4786/916, 9236/6667

1. What is the HCF of 4786,9236?

The HCF of 4786,9236 is 2

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 4786/916, 9236/6667?

Answer: GCF of Numerators as per given numbers 4786/916, 9236/6667 is

GCF of Numerators i.e. for 4786,9236 is 2

LCM of denominators i.e. for 916,6667 is 6106972.

Thus, GCF of Fractions is 2/6106972.Finally, GCF of Fractions for 4786/916, 9236/6667 is 2/6106972.