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GCF of 6473/330, 5767/8232

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 6473/330, 5767/8232 i.e 1/452760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6473/330, 5767/8232.

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 6473/330,5767/8232?

Given fractions are 6473/330,5767/8232

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 6473/330,5767/8232, numerators are 6473,5767

Denominators are 330,8232

The GCF of 6473,5767 is 1 .

LCM of 330,8232 is 452760.

The greatest common factor of 6473/330,5767/8232 = [GCF of 6473,5767]/[LCM of 330,8232]= 1/452760

Therefore, the GCF of 6473/330,5767/8232 is 1/452760.

Greatest Common Factor of 6473,5767

To find the highest common factor of 6473,5767, we have to find the factors of both numbers and list the highest common factor.

The factors of 6473 are 1, 6473

The factors of 5767 are 1, 73, 79, 5767

The HCF of 6473,5767 is 1.

Lets's calculate GCF of 6473,5767

Greatest Common Factor (GCF) of 6473,5767 By Common Division

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

Greatest Common Factor of 6473,5767 By Matching Biggest Common Factor Method

Greatest Common Factor of 6473,5767 By Matching Biggest Common Factor Method

Now, list down the factors of 6473

:

1,6473

Now, list down the factors of 5767

:

1,73,79,5767

Greatest Common Factor

We found the factors 6473,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 6473,5767 is 1.

Lets's calculate LCM of 330,8232

Lowest Common Multiple of 330,8232 using Common Division

2 330, 8232
3 165, 4116
55, 1372

∴ So the LCM of the given numbers is 2 x 3 x 55 x 1372 = 452760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452760

Therefore, the GCF of Fractions 6473/330,5767/8232 is 1/452760

Least Common Multiple of 330,8232 with GCF Formula

Least Common Multiple of 330,8232 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 330,8232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,8232) = 6

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

GCF(330,8232) x common factors =6 x 1 = 6

LCM(330,8232) = ( 330 × 8232 ) / 6

LCM(330,8232) = 2716560 / 6

LCM(330,8232) = 452760


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FAQs on GCF of Fractions of 6473/330, 5767/8232

1. What is the HCF of 6473,5767?

The HCF of 6473,5767 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 6473/330, 5767/8232?

Answer: GCF of Numerators as per given numbers 6473/330, 5767/8232 is

GCF of Numerators i.e. for 6473,5767 is 1

LCM of denominators i.e. for 330,8232 is 452760.

Thus, GCF of Fractions is 1/452760.Finally, GCF of Fractions for 6473/330, 5767/8232 is 1/452760.