How to Find GCF of 6641/685, 2493/7478?

GCF of 6641/685, 2493/7478

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 6641/685, 2493/7478 i.e 1/5122430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6641/685, 2493/7478.

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 6641/685,2493/7478?

Given fractions are 6641/685,2493/7478

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 6641/685,2493/7478, numerators are 6641,2493

Denominators are 685,7478

The GCF of 6641,2493 is 1 .

LCM of 685,7478 is 5122430.

The greatest common factor of 6641/685,2493/7478 = [GCF of 6641,2493]/[LCM of 685,7478]= 1/5122430

Therefore, the GCF of 6641/685,2493/7478 is 1/5122430.

Greatest Common Factor of 6641,2493

To find the highest common factor of 6641,2493, we have to find the factors of both numbers and list the highest common factor.

The factors of 6641 are 1, 29, 229, 6641

The factors of 2493 are 1, 3, 9, 277, 831, 2493

The HCF of 6641,2493 is 1.

Lets's calculate GCF of 6641,2493

Greatest Common Factor (GCF) of 6641,2493 By Common Division

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

Greatest Common Factor of 6641,2493 By Matching Biggest Common Factor Method

Now, list down the factors of 6641

1,29,229,6641

Now, list down the factors of 2493

1,3,9,277,831,2493

Greatest Common Factor

We found the factors 6641,2493 . The biggest common factor number is the GCF number.
So the greatest common factor 6641,2493 is 1.

Lets's calculate LCM of 685,7478

Lowest Common Multiple of 685,7478 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5122430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5122430

Therefore, the GCF of Fractions 6641/685,2493/7478 is 1/5122430

Least Common Multiple of 685,7478 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 685,7478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,7478) = 1

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

GCF(685,7478) x common factors =1 x 1 = 1

LCM(685,7478) = ( 685 × 7478 ) / 1

LCM(685,7478) = 5122430 / 1

LCM(685,7478) = 5122430

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FAQs on GCF of Fractions of 6641/685, 2493/7478

1. What is the HCF of 6641,2493?

The HCF of 6641,2493 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 6641/685, 2493/7478?

Answer: GCF of Numerators as per given numbers 6641/685, 2493/7478 is

GCF of Numerators i.e. for 6641,2493 is 1

LCM of denominators i.e. for 685,7478 is 5122430.

Thus, GCF of Fractions is 1/5122430.Finally, GCF of Fractions for 6641/685, 2493/7478 is 1/5122430.