How to Find GCF of 6042/480, 2164/8740?

GCF of 6042/480, 2164/8740

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 6042/480, 2164/8740 i.e 2/209760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6042/480, 2164/8740.

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 6042/480,2164/8740?

Given fractions are 6042/480,2164/8740

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 6042/480,2164/8740, numerators are 6042,2164

Denominators are 480,8740

The GCF of 6042,2164 is 2 .

LCM of 480,8740 is 209760.

The greatest common factor of 6042/480,2164/8740 = [GCF of 6042,2164]/[LCM of 480,8740]= 2/209760

Therefore, the GCF of 6042/480,2164/8740 is 2/209760.

Greatest Common Factor of 6042,2164

To find the highest common factor of 6042,2164, we have to find the factors of both numbers and list the highest common factor.

The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042

The factors of 2164 are 1, 2, 4, 541, 1082, 2164

The HCF of 6042,2164 is 2.

Lets's calculate GCF of 6042,2164

Greatest Common Factor (GCF) of 6042,2164 By Common Division

2	6042, 2164
	3021, 1082

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

Greatest Common Factor of 6042,2164 By Matching Biggest Common Factor Method

Now, list down the factors of 6042

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Now, list down the factors of 2164

1,2,4,541,1082,2164

Greatest Common Factor

We found the factors 6042,2164 . The biggest common factor number is the GCF number.
So the greatest common factor 6042,2164 is 2.

Lets's calculate LCM of 480,8740

Lowest Common Multiple of 480,8740 using Common Division

2	480, 8740
2	240, 4370
5	120, 2185
	24, 437

∴ So the LCM of the given numbers is 2 x 2 x 5 x 24 x 437 = 209760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/209760

Therefore, the GCF of Fractions 6042/480,2164/8740 is 2/209760

Least Common Multiple of 480,8740 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 480,8740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,8740) = 20

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

GCF(480,8740) x common factors =20 x 1 = 20

LCM(480,8740) = ( 480 × 8740 ) / 20

LCM(480,8740) = 4195200 / 20

LCM(480,8740) = 209760

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FAQs on GCF of Fractions of 6042/480, 2164/8740

1. What is the HCF of 6042,2164?

The HCF of 6042,2164 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 6042/480, 2164/8740?

Answer: GCF of Numerators as per given numbers 6042/480, 2164/8740 is

GCF of Numerators i.e. for 6042,2164 is 2

LCM of denominators i.e. for 480,8740 is 209760.

Thus, GCF of Fractions is 2/209760.Finally, GCF of Fractions for 6042/480, 2164/8740 is 2/209760.