How to Find GCF of 4995/967, 4593/3754?

GCF of 4995/967, 4593/3754

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 4995/967, 4593/3754 i.e 3/3630118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4995/967, 4593/3754.

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 4995/967,4593/3754?

Given fractions are 4995/967,4593/3754

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 4995/967,4593/3754, numerators are 4995,4593

Denominators are 967,3754

The GCF of 4995,4593 is 3 .

LCM of 967,3754 is 3630118.

The greatest common factor of 4995/967,4593/3754 = [GCF of 4995,4593]/[LCM of 967,3754]= 3/3630118

Therefore, the GCF of 4995/967,4593/3754 is 3/3630118.

Greatest Common Factor of 4995,4593

To find the highest common factor of 4995,4593, we have to find the factors of both numbers and list the highest common factor.

The factors of 4995 are 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995

The factors of 4593 are 1, 3, 1531, 4593

The HCF of 4995,4593 is 3.

Lets's calculate GCF of 4995,4593

Greatest Common Factor (GCF) of 4995,4593 By Common Division

3	4995, 4593
	1665, 1531

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4995,4593 By Matching Biggest Common Factor Method

Now, list down the factors of 4995

1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995

Now, list down the factors of 4593

1,3,1531,4593

Greatest Common Factor

We found the factors 4995,4593 . The biggest common factor number is the GCF number.
So the greatest common factor 4995,4593 is 3.

Lets's calculate LCM of 967,3754

Lowest Common Multiple of 967,3754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3630118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3630118

Therefore, the GCF of Fractions 4995/967,4593/3754 is 3/3630118

Least Common Multiple of 967,3754 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 967,3754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,3754) = 1

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

GCF(967,3754) x common factors =1 x 1 = 1

LCM(967,3754) = ( 967 × 3754 ) / 1

LCM(967,3754) = 3630118 / 1

LCM(967,3754) = 3630118

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FAQs on GCF of Fractions of 4995/967, 4593/3754

1. What is the HCF of 4995,4593?

The HCF of 4995,4593 is 3

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 4995/967, 4593/3754?

Answer: GCF of Numerators as per given numbers 4995/967, 4593/3754 is

GCF of Numerators i.e. for 4995,4593 is 3

LCM of denominators i.e. for 967,3754 is 3630118.

Thus, GCF of Fractions is 3/3630118.Finally, GCF of Fractions for 4995/967, 4593/3754 is 3/3630118.