How to Find GCF of 6067/679, 4063/1951?

GCF of 6067/679, 4063/1951

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 6067/679, 4063/1951 i.e 1/1324729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6067/679, 4063/1951.

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 6067/679,4063/1951?

Given fractions are 6067/679,4063/1951

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 6067/679,4063/1951, numerators are 6067,4063

Denominators are 679,1951

The GCF of 6067,4063 is 1 .

LCM of 679,1951 is 1324729.

The greatest common factor of 6067/679,4063/1951 = [GCF of 6067,4063]/[LCM of 679,1951]= 1/1324729

Therefore, the GCF of 6067/679,4063/1951 is 1/1324729.

Greatest Common Factor of 6067,4063

To find the highest common factor of 6067,4063, we have to find the factors of both numbers and list the highest common factor.

The factors of 6067 are 1, 6067

The factors of 4063 are 1, 17, 239, 4063

The HCF of 6067,4063 is 1.

Lets's calculate GCF of 6067,4063

Greatest Common Factor (GCF) of 6067,4063 By Common Division

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

Greatest Common Factor of 6067,4063 By Matching Biggest Common Factor Method

Now, list down the factors of 6067

1,6067

Now, list down the factors of 4063

1,17,239,4063

Greatest Common Factor

We found the factors 6067,4063 . The biggest common factor number is the GCF number.
So the greatest common factor 6067,4063 is 1.

Lets's calculate LCM of 679,1951

Lowest Common Multiple of 679,1951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1324729

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324729

Therefore, the GCF of Fractions 6067/679,4063/1951 is 1/1324729

Least Common Multiple of 679,1951 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 679,1951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,1951) = 1

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

GCF(679,1951) x common factors =1 x 1 = 1

LCM(679,1951) = ( 679 × 1951 ) / 1

LCM(679,1951) = 1324729 / 1

LCM(679,1951) = 1324729

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FAQs on GCF of Fractions of 6067/679, 4063/1951

1. What is the HCF of 6067,4063?

The HCF of 6067,4063 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 6067/679, 4063/1951?

Answer: GCF of Numerators as per given numbers 6067/679, 4063/1951 is

GCF of Numerators i.e. for 6067,4063 is 1

LCM of denominators i.e. for 679,1951 is 1324729.

Thus, GCF of Fractions is 1/1324729.Finally, GCF of Fractions for 6067/679, 4063/1951 is 1/1324729.