How to Find GCF of 8121/962, 2401/6673?

GCF of 8121/962, 2401/6673

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 8121/962, 2401/6673 i.e 1/6419426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8121/962, 2401/6673.

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 8121/962,2401/6673?

Given fractions are 8121/962,2401/6673

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 8121/962,2401/6673, numerators are 8121,2401

Denominators are 962,6673

The GCF of 8121,2401 is 1 .

LCM of 962,6673 is 6419426.

The greatest common factor of 8121/962,2401/6673 = [GCF of 8121,2401]/[LCM of 962,6673]= 1/6419426

Therefore, the GCF of 8121/962,2401/6673 is 1/6419426.

Greatest Common Factor of 8121,2401

To find the highest common factor of 8121,2401, we have to find the factors of both numbers and list the highest common factor.

The factors of 8121 are 1, 3, 2707, 8121

The factors of 2401 are 1, 7, 49, 343, 2401

The HCF of 8121,2401 is 1.

Lets's calculate GCF of 8121,2401

Greatest Common Factor (GCF) of 8121,2401 By Common Division

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

Greatest Common Factor of 8121,2401 By Matching Biggest Common Factor Method

Now, list down the factors of 8121

1,3,2707,8121

Now, list down the factors of 2401

1,7,49,343,2401

Greatest Common Factor

We found the factors 8121,2401 . The biggest common factor number is the GCF number.
So the greatest common factor 8121,2401 is 1.

Lets's calculate LCM of 962,6673

Lowest Common Multiple of 962,6673 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6419426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6419426

Therefore, the GCF of Fractions 8121/962,2401/6673 is 1/6419426

Least Common Multiple of 962,6673 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 962,6673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,6673) = 1

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

GCF(962,6673) x common factors =1 x 1 = 1

LCM(962,6673) = ( 962 × 6673 ) / 1

LCM(962,6673) = 6419426 / 1

LCM(962,6673) = 6419426

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FAQs on GCF of Fractions of 8121/962, 2401/6673

1. What is the HCF of 8121,2401?

The HCF of 8121,2401 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 8121/962, 2401/6673?

Answer: GCF of Numerators as per given numbers 8121/962, 2401/6673 is

GCF of Numerators i.e. for 8121,2401 is 1

LCM of denominators i.e. for 962,6673 is 6419426.

Thus, GCF of Fractions is 1/6419426.Finally, GCF of Fractions for 8121/962, 2401/6673 is 1/6419426.