How to Find GCF of 3954/238, 6067/2804?

GCF of 3954/238, 6067/2804

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 3954/238, 6067/2804 i.e 1/333676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3954/238, 6067/2804.

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 3954/238,6067/2804?

Given fractions are 3954/238,6067/2804

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 3954/238,6067/2804, numerators are 3954,6067

Denominators are 238,2804

The GCF of 3954,6067 is 1 .

LCM of 238,2804 is 333676.

The greatest common factor of 3954/238,6067/2804 = [GCF of 3954,6067]/[LCM of 238,2804]= 1/333676

Therefore, the GCF of 3954/238,6067/2804 is 1/333676.

Greatest Common Factor of 3954,6067

To find the highest common factor of 3954,6067, we have to find the factors of both numbers and list the highest common factor.

The factors of 3954 are 1, 2, 3, 6, 659, 1318, 1977, 3954

The factors of 6067 are 1, 6067

The HCF of 3954,6067 is 1.

Lets's calculate GCF of 3954,6067

Greatest Common Factor (GCF) of 3954,6067 By Common Division

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

Greatest Common Factor of 3954,6067 By Matching Biggest Common Factor Method

Now, list down the factors of 3954

1,2,3,6,659,1318,1977,3954

Now, list down the factors of 6067

1,6067

Greatest Common Factor

We found the factors 3954,6067 . The biggest common factor number is the GCF number.
So the greatest common factor 3954,6067 is 1.

Lets's calculate LCM of 238,2804

Lowest Common Multiple of 238,2804 using Common Division

2	238, 2804
	119, 1402

∴ So the LCM of the given numbers is 2 x 119 x 1402 = 333676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/333676

Therefore, the GCF of Fractions 3954/238,6067/2804 is 1/333676

Least Common Multiple of 238,2804 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 238,2804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,2804) = 2

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

GCF(238,2804) x common factors =2 x 1 = 2

LCM(238,2804) = ( 238 × 2804 ) / 2

LCM(238,2804) = 667352 / 2

LCM(238,2804) = 333676

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FAQs on GCF of Fractions of 3954/238, 6067/2804

1. What is the HCF of 3954,6067?

The HCF of 3954,6067 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 3954/238, 6067/2804?

Answer: GCF of Numerators as per given numbers 3954/238, 6067/2804 is

GCF of Numerators i.e. for 3954,6067 is 1

LCM of denominators i.e. for 238,2804 is 333676.

Thus, GCF of Fractions is 1/333676.Finally, GCF of Fractions for 3954/238, 6067/2804 is 1/333676.