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GCF of 6331/524, 2473/850

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 6331/524, 2473/850 i.e 1/222700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6331/524, 2473/850.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6331/524,2473/850?

Given fractions are 6331/524,2473/850

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 6331/524,2473/850, numerators are 6331,2473

Denominators are 524,850

The GCF of 6331,2473 is 1 .

LCM of 524,850 is 222700.

The greatest common factor of 6331/524,2473/850 = [GCF of 6331,2473]/[LCM of 524,850]= 1/222700

Therefore, the GCF of 6331/524,2473/850 is 1/222700.

Greatest Common Factor of 6331,2473

To find the highest common factor of 6331,2473, we have to find the factors of both numbers and list the highest common factor.

The factors of 6331 are 1, 13, 487, 6331

The factors of 2473 are 1, 2473

The HCF of 6331,2473 is 1.

Lets's calculate GCF of 6331,2473

Greatest Common Factor (GCF) of 6331,2473 By Common Division

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

Greatest Common Factor of 6331,2473 By Matching Biggest Common Factor Method

Greatest Common Factor of 6331,2473 By Matching Biggest Common Factor Method

Now, list down the factors of 6331

:

1,13,487,6331

Now, list down the factors of 2473

:

1,2473

Greatest Common Factor

We found the factors 6331,2473 . The biggest common factor number is the GCF number.
So the greatest common factor 6331,2473 is 1.

Lets's calculate LCM of 524,850

Lowest Common Multiple of 524,850 using Common Division

2 524, 850
262, 425

∴ So the LCM of the given numbers is 2 x 262 x 425 = 222700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222700

Therefore, the GCF of Fractions 6331/524,2473/850 is 1/222700

Least Common Multiple of 524,850 with GCF Formula

Least Common Multiple of 524,850 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 524,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,850) = 2

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

GCF(524,850) x common factors =2 x 1 = 2

LCM(524,850) = ( 524 × 850 ) / 2

LCM(524,850) = 445400 / 2

LCM(524,850) = 222700


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FAQs on GCF of Fractions of 6331/524, 2473/850

1. What is the HCF of 6331,2473?

The HCF of 6331,2473 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 6331/524, 2473/850?

Answer: GCF of Numerators as per given numbers 6331/524, 2473/850 is

GCF of Numerators i.e. for 6331,2473 is 1

LCM of denominators i.e. for 524,850 is 222700.

Thus, GCF of Fractions is 1/222700.Finally, GCF of Fractions for 6331/524, 2473/850 is 1/222700.