How to Find GCF of 6028/338, 1277/2053?

GCF of 6028/338, 1277/2053

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 6028/338, 1277/2053 i.e 1/693914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6028/338, 1277/2053.

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 6028/338,1277/2053?

Given fractions are 6028/338,1277/2053

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 6028/338,1277/2053, numerators are 6028,1277

Denominators are 338,2053

The GCF of 6028,1277 is 1 .

LCM of 338,2053 is 693914.

The greatest common factor of 6028/338,1277/2053 = [GCF of 6028,1277]/[LCM of 338,2053]= 1/693914

Therefore, the GCF of 6028/338,1277/2053 is 1/693914.

Greatest Common Factor of 6028,1277

To find the highest common factor of 6028,1277, we have to find the factors of both numbers and list the highest common factor.

The factors of 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028

The factors of 1277 are 1, 1277

The HCF of 6028,1277 is 1.

Lets's calculate GCF of 6028,1277

Greatest Common Factor (GCF) of 6028,1277 By Common Division

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

Greatest Common Factor of 6028,1277 By Matching Biggest Common Factor Method

Now, list down the factors of 6028

1,2,4,11,22,44,137,274,548,1507,3014,6028

Now, list down the factors of 1277

1,1277

Greatest Common Factor

We found the factors 6028,1277 . The biggest common factor number is the GCF number.
So the greatest common factor 6028,1277 is 1.

Lets's calculate LCM of 338,2053

Lowest Common Multiple of 338,2053 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 693914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693914

Therefore, the GCF of Fractions 6028/338,1277/2053 is 1/693914

Least Common Multiple of 338,2053 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 338,2053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,2053) = 1

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

GCF(338,2053) x common factors =1 x 1 = 1

LCM(338,2053) = ( 338 × 2053 ) / 1

LCM(338,2053) = 693914 / 1

LCM(338,2053) = 693914

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FAQs on GCF of Fractions of 6028/338, 1277/2053

1. What is the HCF of 6028,1277?

The HCF of 6028,1277 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 6028/338, 1277/2053?

Answer: GCF of Numerators as per given numbers 6028/338, 1277/2053 is

GCF of Numerators i.e. for 6028,1277 is 1

LCM of denominators i.e. for 338,2053 is 693914.

Thus, GCF of Fractions is 1/693914.Finally, GCF of Fractions for 6028/338, 1277/2053 is 1/693914.