How to Find GCF of 6558/767, 2002/6552?

GCF of 6558/767, 2002/6552

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 6558/767, 2002/6552 i.e 2/386568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6558/767, 2002/6552.

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 6558/767,2002/6552?

Given fractions are 6558/767,2002/6552

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 6558/767,2002/6552, numerators are 6558,2002

Denominators are 767,6552

The GCF of 6558,2002 is 2 .

LCM of 767,6552 is 386568.

The greatest common factor of 6558/767,2002/6552 = [GCF of 6558,2002]/[LCM of 767,6552]= 2/386568

Therefore, the GCF of 6558/767,2002/6552 is 2/386568.

Greatest Common Factor of 6558,2002

To find the highest common factor of 6558,2002, we have to find the factors of both numbers and list the highest common factor.

The factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558

The factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002

The HCF of 6558,2002 is 2.

Lets's calculate GCF of 6558,2002

Greatest Common Factor (GCF) of 6558,2002 By Common Division

2	6558, 2002
	3279, 1001

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

Greatest Common Factor of 6558,2002 By Matching Biggest Common Factor Method

Now, list down the factors of 6558

1,2,3,6,1093,2186,3279,6558

Now, list down the factors of 2002

1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002

Greatest Common Factor

We found the factors 6558,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 6558,2002 is 2.

Lets's calculate LCM of 767,6552

Lowest Common Multiple of 767,6552 using Common Division

13	767, 6552
	59, 504

∴ So the LCM of the given numbers is 13 x 59 x 504 = 386568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/386568

Therefore, the GCF of Fractions 6558/767,2002/6552 is 2/386568

Least Common Multiple of 767,6552 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 767,6552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,6552) = 13

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

GCF(767,6552) x common factors =13 x 1 = 13

LCM(767,6552) = ( 767 × 6552 ) / 13

LCM(767,6552) = 5025384 / 13

LCM(767,6552) = 386568

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FAQs on GCF of Fractions of 6558/767, 2002/6552

1. What is the HCF of 6558,2002?

The HCF of 6558,2002 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 6558/767, 2002/6552?

Answer: GCF of Numerators as per given numbers 6558/767, 2002/6552 is

GCF of Numerators i.e. for 6558,2002 is 2

LCM of denominators i.e. for 767,6552 is 386568.

Thus, GCF of Fractions is 2/386568.Finally, GCF of Fractions for 6558/767, 2002/6552 is 2/386568.