How to Find GCF of 6168/474, 3572/8167?

GCF of 6168/474, 3572/8167

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 6168/474, 3572/8167 i.e 4/3871158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6168/474, 3572/8167.

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 6168/474,3572/8167?

Given fractions are 6168/474,3572/8167

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 6168/474,3572/8167, numerators are 6168,3572

Denominators are 474,8167

The GCF of 6168,3572 is 4 .

LCM of 474,8167 is 3871158.

The greatest common factor of 6168/474,3572/8167 = [GCF of 6168,3572]/[LCM of 474,8167]= 4/3871158

Therefore, the GCF of 6168/474,3572/8167 is 4/3871158.

Greatest Common Factor of 6168,3572

To find the highest common factor of 6168,3572, we have to find the factors of both numbers and list the highest common factor.

The factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168

The factors of 3572 are 1, 2, 4, 19, 38, 47, 76, 94, 188, 893, 1786, 3572

The HCF of 6168,3572 is 4.

Lets's calculate GCF of 6168,3572

Greatest Common Factor (GCF) of 6168,3572 By Common Division

2	6168, 3572
2	3084, 1786
	1542, 893

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

Greatest Common Factor of 6168,3572 By Matching Biggest Common Factor Method

Now, list down the factors of 6168

1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168

Now, list down the factors of 3572

1,2,4,19,38,47,76,94,188,893,1786,3572

Greatest Common Factor

We found the factors 6168,3572 . The biggest common factor number is the GCF number.
So the greatest common factor 6168,3572 is 4.

Lets's calculate LCM of 474,8167

Lowest Common Multiple of 474,8167 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3871158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3871158

Therefore, the GCF of Fractions 6168/474,3572/8167 is 4/3871158

Least Common Multiple of 474,8167 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 474,8167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,8167) = 1

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

GCF(474,8167) x common factors =1 x 1 = 1

LCM(474,8167) = ( 474 × 8167 ) / 1

LCM(474,8167) = 3871158 / 1

LCM(474,8167) = 3871158

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6168/474, 3572/8167

1. What is the HCF of 6168,3572?

The HCF of 6168,3572 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 6168/474, 3572/8167?

Answer: GCF of Numerators as per given numbers 6168/474, 3572/8167 is

GCF of Numerators i.e. for 6168,3572 is 4

LCM of denominators i.e. for 474,8167 is 3871158.

Thus, GCF of Fractions is 4/3871158.Finally, GCF of Fractions for 6168/474, 3572/8167 is 4/3871158.