How to Find GCF of 4360/28, 6567/848?

GCF of 4360/28, 6567/848

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 4360/28, 6567/848 i.e 1/5936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4360/28, 6567/848.

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 4360/28,6567/848?

Given fractions are 4360/28,6567/848

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 4360/28,6567/848, numerators are 4360,6567

Denominators are 28,848

The GCF of 4360,6567 is 1 .

LCM of 28,848 is 5936.

The greatest common factor of 4360/28,6567/848 = [GCF of 4360,6567]/[LCM of 28,848]= 1/5936

Therefore, the GCF of 4360/28,6567/848 is 1/5936.

Greatest Common Factor of 4360,6567

To find the highest common factor of 4360,6567, we have to find the factors of both numbers and list the highest common factor.

The factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360

The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567

The HCF of 4360,6567 is 1.

Lets's calculate GCF of 4360,6567

Greatest Common Factor (GCF) of 4360,6567 By Common Division

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

Greatest Common Factor of 4360,6567 By Matching Biggest Common Factor Method

Now, list down the factors of 4360

1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360

Now, list down the factors of 6567

1,3,11,33,199,597,2189,6567

Greatest Common Factor

We found the factors 4360,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 4360,6567 is 1.

Lets's calculate LCM of 28,848

Lowest Common Multiple of 28,848 using Common Division

2	28, 848
2	14, 424
	7, 212

∴ So the LCM of the given numbers is 2 x 2 x 7 x 212 = 5936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5936

Therefore, the GCF of Fractions 4360/28,6567/848 is 1/5936

Least Common Multiple of 28,848 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 28,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,848) = 4

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

GCF(28,848) x common factors =4 x 1 = 4

LCM(28,848) = ( 28 × 848 ) / 4

LCM(28,848) = 23744 / 4

LCM(28,848) = 5936

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FAQs on GCF of Fractions of 4360/28, 6567/848

1. What is the HCF of 4360,6567?

The HCF of 4360,6567 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 4360/28, 6567/848?

Answer: GCF of Numerators as per given numbers 4360/28, 6567/848 is

GCF of Numerators i.e. for 4360,6567 is 1

LCM of denominators i.e. for 28,848 is 5936.

Thus, GCF of Fractions is 1/5936.Finally, GCF of Fractions for 4360/28, 6567/848 is 1/5936.