How to Find GCF of 2437/758, 8786/6460?

GCF of 2437/758, 8786/6460

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 2437/758, 8786/6460 i.e 1/2448340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2437/758, 8786/6460.

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 2437/758,8786/6460?

Given fractions are 2437/758,8786/6460

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 2437/758,8786/6460, numerators are 2437,8786

Denominators are 758,6460

The GCF of 2437,8786 is 1 .

LCM of 758,6460 is 2448340.

The greatest common factor of 2437/758,8786/6460 = [GCF of 2437,8786]/[LCM of 758,6460]= 1/2448340

Therefore, the GCF of 2437/758,8786/6460 is 1/2448340.

Greatest Common Factor of 2437,8786

To find the highest common factor of 2437,8786, we have to find the factors of both numbers and list the highest common factor.

The factors of 2437 are 1, 2437

The factors of 8786 are 1, 2, 23, 46, 191, 382, 4393, 8786

The HCF of 2437,8786 is 1.

Lets's calculate GCF of 2437,8786

Greatest Common Factor (GCF) of 2437,8786 By Common Division

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

Greatest Common Factor of 2437,8786 By Matching Biggest Common Factor Method

Now, list down the factors of 2437

1,2437

Now, list down the factors of 8786

1,2,23,46,191,382,4393,8786

Greatest Common Factor

We found the factors 2437,8786 . The biggest common factor number is the GCF number.
So the greatest common factor 2437,8786 is 1.

Lets's calculate LCM of 758,6460

Lowest Common Multiple of 758,6460 using Common Division

2	758, 6460
	379, 3230

∴ So the LCM of the given numbers is 2 x 379 x 3230 = 2448340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2448340

Therefore, the GCF of Fractions 2437/758,8786/6460 is 1/2448340

Least Common Multiple of 758,6460 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 758,6460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,6460) = 2

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

GCF(758,6460) x common factors =2 x 1 = 2

LCM(758,6460) = ( 758 × 6460 ) / 2

LCM(758,6460) = 4896680 / 2

LCM(758,6460) = 2448340

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FAQs on GCF of Fractions of 2437/758, 8786/6460

1. What is the HCF of 2437,8786?

The HCF of 2437,8786 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 2437/758, 8786/6460?

Answer: GCF of Numerators as per given numbers 2437/758, 8786/6460 is

GCF of Numerators i.e. for 2437,8786 is 1

LCM of denominators i.e. for 758,6460 is 2448340.

Thus, GCF of Fractions is 1/2448340.Finally, GCF of Fractions for 2437/758, 8786/6460 is 1/2448340.