How to Find GCF of 2741/388, 2949/6422?

GCF of 2741/388, 2949/6422

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 2741/388, 2949/6422 i.e 1/1245868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2741/388, 2949/6422.

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 2741/388,2949/6422?

Given fractions are 2741/388,2949/6422

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 2741/388,2949/6422, numerators are 2741,2949

Denominators are 388,6422

The GCF of 2741,2949 is 1 .

LCM of 388,6422 is 1245868.

The greatest common factor of 2741/388,2949/6422 = [GCF of 2741,2949]/[LCM of 388,6422]= 1/1245868

Therefore, the GCF of 2741/388,2949/6422 is 1/1245868.

Greatest Common Factor of 2741,2949

To find the highest common factor of 2741,2949, we have to find the factors of both numbers and list the highest common factor.

The factors of 2741 are 1, 2741

The factors of 2949 are 1, 3, 983, 2949

The HCF of 2741,2949 is 1.

Lets's calculate GCF of 2741,2949

Greatest Common Factor (GCF) of 2741,2949 By Common Division

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

Greatest Common Factor of 2741,2949 By Matching Biggest Common Factor Method

Now, list down the factors of 2741

1,2741

Now, list down the factors of 2949

1,3,983,2949

Greatest Common Factor

We found the factors 2741,2949 . The biggest common factor number is the GCF number.
So the greatest common factor 2741,2949 is 1.

Lets's calculate LCM of 388,6422

Lowest Common Multiple of 388,6422 using Common Division

2	388, 6422
	194, 3211

∴ So the LCM of the given numbers is 2 x 194 x 3211 = 1245868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1245868

Therefore, the GCF of Fractions 2741/388,2949/6422 is 1/1245868

Least Common Multiple of 388,6422 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 388,6422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,6422) = 2

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

GCF(388,6422) x common factors =2 x 1 = 2

LCM(388,6422) = ( 388 × 6422 ) / 2

LCM(388,6422) = 2491736 / 2

LCM(388,6422) = 1245868

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FAQs on GCF of Fractions of 2741/388, 2949/6422

1. What is the HCF of 2741,2949?

The HCF of 2741,2949 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 2741/388, 2949/6422?

Answer: GCF of Numerators as per given numbers 2741/388, 2949/6422 is

GCF of Numerators i.e. for 2741,2949 is 1

LCM of denominators i.e. for 388,6422 is 1245868.

Thus, GCF of Fractions is 1/1245868.Finally, GCF of Fractions for 2741/388, 2949/6422 is 1/1245868.