How to Find GCF of 6382/260, 2868/5669?

GCF of 6382/260, 2868/5669

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 6382/260, 2868/5669 i.e 2/1473940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6382/260, 2868/5669.

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 6382/260,2868/5669?

Given fractions are 6382/260,2868/5669

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 6382/260,2868/5669, numerators are 6382,2868

Denominators are 260,5669

The GCF of 6382,2868 is 2 .

LCM of 260,5669 is 1473940.

The greatest common factor of 6382/260,2868/5669 = [GCF of 6382,2868]/[LCM of 260,5669]= 2/1473940

Therefore, the GCF of 6382/260,2868/5669 is 2/1473940.

Greatest Common Factor of 6382,2868

To find the highest common factor of 6382,2868, we have to find the factors of both numbers and list the highest common factor.

The factors of 6382 are 1, 2, 3191, 6382

The factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868

The HCF of 6382,2868 is 2.

Lets's calculate GCF of 6382,2868

Greatest Common Factor (GCF) of 6382,2868 By Common Division

2	6382, 2868
	3191, 1434

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

Greatest Common Factor of 6382,2868 By Matching Biggest Common Factor Method

Now, list down the factors of 6382

1,2,3191,6382

Now, list down the factors of 2868

1,2,3,4,6,12,239,478,717,956,1434,2868

Greatest Common Factor

We found the factors 6382,2868 . The biggest common factor number is the GCF number.
So the greatest common factor 6382,2868 is 2.

Lets's calculate LCM of 260,5669

Lowest Common Multiple of 260,5669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1473940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1473940

Therefore, the GCF of Fractions 6382/260,2868/5669 is 2/1473940

Least Common Multiple of 260,5669 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 260,5669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,5669) = 1

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

GCF(260,5669) x common factors =1 x 1 = 1

LCM(260,5669) = ( 260 × 5669 ) / 1

LCM(260,5669) = 1473940 / 1

LCM(260,5669) = 1473940

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FAQs on GCF of Fractions of 6382/260, 2868/5669

1. What is the HCF of 6382,2868?

The HCF of 6382,2868 is 2

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 6382/260, 2868/5669?

Answer: GCF of Numerators as per given numbers 6382/260, 2868/5669 is

GCF of Numerators i.e. for 6382,2868 is 2

LCM of denominators i.e. for 260,5669 is 1473940.

Thus, GCF of Fractions is 2/1473940.Finally, GCF of Fractions for 6382/260, 2868/5669 is 2/1473940.