How to Find GCF of 6472/547, 8392/8059?

GCF of 6472/547, 8392/8059

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 6472/547, 8392/8059 i.e 8/4408273 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6472/547, 8392/8059.

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 6472/547,8392/8059?

Given fractions are 6472/547,8392/8059

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 6472/547,8392/8059, numerators are 6472,8392

Denominators are 547,8059

The GCF of 6472,8392 is 8 .

LCM of 547,8059 is 4408273.

The greatest common factor of 6472/547,8392/8059 = [GCF of 6472,8392]/[LCM of 547,8059]= 8/4408273

Therefore, the GCF of 6472/547,8392/8059 is 8/4408273.

Greatest Common Factor of 6472,8392

To find the highest common factor of 6472,8392, we have to find the factors of both numbers and list the highest common factor.

The factors of 6472 are 1, 2, 4, 8, 809, 1618, 3236, 6472

The factors of 8392 are 1, 2, 4, 8, 1049, 2098, 4196, 8392

The HCF of 6472,8392 is 8.

Lets's calculate GCF of 6472,8392

Greatest Common Factor (GCF) of 6472,8392 By Common Division

2	6472, 8392
2	3236, 4196
2	1618, 2098
	809, 1049

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6472,8392 By Matching Biggest Common Factor Method

Now, list down the factors of 6472

1,2,4,8,809,1618,3236,6472

Now, list down the factors of 8392

1,2,4,8,1049,2098,4196,8392

Greatest Common Factor

We found the factors 6472,8392 . The biggest common factor number is the GCF number.
So the greatest common factor 6472,8392 is 8.

Lets's calculate LCM of 547,8059

Lowest Common Multiple of 547,8059 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4408273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4408273

Therefore, the GCF of Fractions 6472/547,8392/8059 is 8/4408273

Least Common Multiple of 547,8059 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 547,8059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,8059) = 1

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

GCF(547,8059) x common factors =1 x 1 = 1

LCM(547,8059) = ( 547 × 8059 ) / 1

LCM(547,8059) = 4408273 / 1

LCM(547,8059) = 4408273

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FAQs on GCF of Fractions of 6472/547, 8392/8059

1. What is the HCF of 6472,8392?

The HCF of 6472,8392 is 8

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 6472/547, 8392/8059?

Answer: GCF of Numerators as per given numbers 6472/547, 8392/8059 is

GCF of Numerators i.e. for 6472,8392 is 8

LCM of denominators i.e. for 547,8059 is 4408273.

Thus, GCF of Fractions is 8/4408273.Finally, GCF of Fractions for 6472/547, 8392/8059 is 8/4408273.