How to Find GCF of 997/393, 2991/719?

GCF of 997/393, 2991/719

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 997/393, 2991/719 i.e 997/282567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 997/393, 2991/719.

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 997/393,2991/719?

Given fractions are 997/393,2991/719

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 997/393,2991/719, numerators are 997,2991

Denominators are 393,719

The GCF of 997,2991 is 997 .

LCM of 393,719 is 282567.

The greatest common factor of 997/393,2991/719 = [GCF of 997,2991]/[LCM of 393,719]= 997/282567

Therefore, the GCF of 997/393,2991/719 is 997/282567.

Greatest Common Factor of 997,2991

To find the highest common factor of 997,2991, we have to find the factors of both numbers and list the highest common factor.

The factors of 997 are 1, 997

The factors of 2991 are 1, 3, 997, 2991

The HCF of 997,2991 is 997.

Lets's calculate GCF of 997,2991

Greatest Common Factor (GCF) of 997,2991 By Common Division

997	997, 2991
	1, 3

∴ So the GCF of the given numbers is 997 = 997

Greatest Common Factor of 997,2991 By Matching Biggest Common Factor Method

Now, list down the factors of 997

1,997

Now, list down the factors of 2991

1,3,997,2991

Greatest Common Factor

We found the factors 997,2991 . The biggest common factor number is the GCF number.
So the greatest common factor 997,2991 is 997.

Lets's calculate LCM of 393,719

Lowest Common Multiple of 393,719 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 282567

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 997/282567

Therefore, the GCF of Fractions 997/393,2991/719 is 997/282567

Least Common Multiple of 393,719 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 393,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,719) = 1

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

GCF(393,719) x common factors =1 x 1 = 1

LCM(393,719) = ( 393 × 719 ) / 1

LCM(393,719) = 282567 / 1

LCM(393,719) = 282567

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 997/393, 2991/719

1. What is the HCF of 997,2991?

The HCF of 997,2991 is 997

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 997/393, 2991/719?

Answer: GCF of Numerators as per given numbers 997/393, 2991/719 is

GCF of Numerators i.e. for 997,2991 is 997

LCM of denominators i.e. for 393,719 is 282567.

Thus, GCF of Fractions is 997/282567.Finally, GCF of Fractions for 997/393, 2991/719 is 997/282567.