How to Find GCF of 6021/632, 1879/3118?

GCF of 6021/632, 1879/3118

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 6021/632, 1879/3118 i.e 1/985288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6021/632, 1879/3118.

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 6021/632,1879/3118?

Given fractions are 6021/632,1879/3118

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 6021/632,1879/3118, numerators are 6021,1879

Denominators are 632,3118

The GCF of 6021,1879 is 1 .

LCM of 632,3118 is 985288.

The greatest common factor of 6021/632,1879/3118 = [GCF of 6021,1879]/[LCM of 632,3118]= 1/985288

Therefore, the GCF of 6021/632,1879/3118 is 1/985288.

Greatest Common Factor of 6021,1879

To find the highest common factor of 6021,1879, we have to find the factors of both numbers and list the highest common factor.

The factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021

The factors of 1879 are 1, 1879

The HCF of 6021,1879 is 1.

Lets's calculate GCF of 6021,1879

Greatest Common Factor (GCF) of 6021,1879 By Common Division

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

Greatest Common Factor of 6021,1879 By Matching Biggest Common Factor Method

Now, list down the factors of 6021

1,3,9,27,223,669,2007,6021

Now, list down the factors of 1879

1,1879

Greatest Common Factor

We found the factors 6021,1879 . The biggest common factor number is the GCF number.
So the greatest common factor 6021,1879 is 1.

Lets's calculate LCM of 632,3118

Lowest Common Multiple of 632,3118 using Common Division

2	632, 3118
	316, 1559

∴ So the LCM of the given numbers is 2 x 316 x 1559 = 985288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/985288

Therefore, the GCF of Fractions 6021/632,1879/3118 is 1/985288

Least Common Multiple of 632,3118 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 632,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,3118) = 2

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

GCF(632,3118) x common factors =2 x 1 = 2

LCM(632,3118) = ( 632 × 3118 ) / 2

LCM(632,3118) = 1970576 / 2

LCM(632,3118) = 985288

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FAQs on GCF of Fractions of 6021/632, 1879/3118

1. What is the HCF of 6021,1879?

The HCF of 6021,1879 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 6021/632, 1879/3118?

Answer: GCF of Numerators as per given numbers 6021/632, 1879/3118 is

GCF of Numerators i.e. for 6021,1879 is 1

LCM of denominators i.e. for 632,3118 is 985288.

Thus, GCF of Fractions is 1/985288.Finally, GCF of Fractions for 6021/632, 1879/3118 is 1/985288.