How to Find GCF of 2994/412, 1243/973?

GCF of 2994/412, 1243/973

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 2994/412, 1243/973 i.e 1/400876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2994/412, 1243/973.

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 2994/412,1243/973?

Given fractions are 2994/412,1243/973

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 2994/412,1243/973, numerators are 2994,1243

Denominators are 412,973

The GCF of 2994,1243 is 1 .

LCM of 412,973 is 400876.

The greatest common factor of 2994/412,1243/973 = [GCF of 2994,1243]/[LCM of 412,973]= 1/400876

Therefore, the GCF of 2994/412,1243/973 is 1/400876.

Greatest Common Factor of 2994,1243

To find the highest common factor of 2994,1243, we have to find the factors of both numbers and list the highest common factor.

The factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994

The factors of 1243 are 1, 11, 113, 1243

The HCF of 2994,1243 is 1.

Lets's calculate GCF of 2994,1243

Greatest Common Factor (GCF) of 2994,1243 By Common Division

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

Greatest Common Factor of 2994,1243 By Matching Biggest Common Factor Method

Now, list down the factors of 2994

1,2,3,6,499,998,1497,2994

Now, list down the factors of 1243

1,11,113,1243

Greatest Common Factor

We found the factors 2994,1243 . The biggest common factor number is the GCF number.
So the greatest common factor 2994,1243 is 1.

Lets's calculate LCM of 412,973

Lowest Common Multiple of 412,973 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 400876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400876

Therefore, the GCF of Fractions 2994/412,1243/973 is 1/400876

Least Common Multiple of 412,973 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 412,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,973) = 1

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

GCF(412,973) x common factors =1 x 1 = 1

LCM(412,973) = ( 412 × 973 ) / 1

LCM(412,973) = 400876 / 1

LCM(412,973) = 400876

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FAQs on GCF of Fractions of 2994/412, 1243/973

1. What is the HCF of 2994,1243?

The HCF of 2994,1243 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 2994/412, 1243/973?

Answer: GCF of Numerators as per given numbers 2994/412, 1243/973 is

GCF of Numerators i.e. for 2994,1243 is 1

LCM of denominators i.e. for 412,973 is 400876.

Thus, GCF of Fractions is 1/400876.Finally, GCF of Fractions for 2994/412, 1243/973 is 1/400876.