How to Find GCF of 6472/205, 2572/572?

GCF of 6472/205, 2572/572

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 6472/205, 2572/572 i.e 4/117260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6472/205, 2572/572.

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 6472/205,2572/572?

Given fractions are 6472/205,2572/572

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 6472/205,2572/572, numerators are 6472,2572

Denominators are 205,572

The GCF of 6472,2572 is 4 .

LCM of 205,572 is 117260.

The greatest common factor of 6472/205,2572/572 = [GCF of 6472,2572]/[LCM of 205,572]= 4/117260

Therefore, the GCF of 6472/205,2572/572 is 4/117260.

Greatest Common Factor of 6472,2572

To find the highest common factor of 6472,2572, 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 2572 are 1, 2, 4, 643, 1286, 2572

The HCF of 6472,2572 is 4.

Lets's calculate GCF of 6472,2572

Greatest Common Factor (GCF) of 6472,2572 By Common Division

2	6472, 2572
2	3236, 1286
	1618, 643

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6472,2572 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 2572

1,2,4,643,1286,2572

Greatest Common Factor

We found the factors 6472,2572 . The biggest common factor number is the GCF number.
So the greatest common factor 6472,2572 is 4.

Lets's calculate LCM of 205,572

Lowest Common Multiple of 205,572 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 117260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/117260

Therefore, the GCF of Fractions 6472/205,2572/572 is 4/117260

Least Common Multiple of 205,572 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 205,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,572) = 1

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

GCF(205,572) x common factors =1 x 1 = 1

LCM(205,572) = ( 205 × 572 ) / 1

LCM(205,572) = 117260 / 1

LCM(205,572) = 117260

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FAQs on GCF of Fractions of 6472/205, 2572/572

1. What is the HCF of 6472,2572?

The HCF of 6472,2572 is 4

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 6472/205, 2572/572?

Answer: GCF of Numerators as per given numbers 6472/205, 2572/572 is

GCF of Numerators i.e. for 6472,2572 is 4

LCM of denominators i.e. for 205,572 is 117260.

Thus, GCF of Fractions is 4/117260.Finally, GCF of Fractions for 6472/205, 2572/572 is 4/117260.