How to Find GCF of 3027/743, 6494/940?

GCF of 3027/743, 6494/940

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 3027/743, 6494/940 i.e 1/698420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3027/743, 6494/940.

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 3027/743,6494/940?

Given fractions are 3027/743,6494/940

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 3027/743,6494/940, numerators are 3027,6494

Denominators are 743,940

The GCF of 3027,6494 is 1 .

LCM of 743,940 is 698420.

The greatest common factor of 3027/743,6494/940 = [GCF of 3027,6494]/[LCM of 743,940]= 1/698420

Therefore, the GCF of 3027/743,6494/940 is 1/698420.

Greatest Common Factor of 3027,6494

To find the highest common factor of 3027,6494, we have to find the factors of both numbers and list the highest common factor.

The factors of 3027 are 1, 3, 1009, 3027

The factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494

The HCF of 3027,6494 is 1.

Lets's calculate GCF of 3027,6494

Greatest Common Factor (GCF) of 3027,6494 By Common Division

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

Greatest Common Factor of 3027,6494 By Matching Biggest Common Factor Method

Now, list down the factors of 3027

1,3,1009,3027

Now, list down the factors of 6494

1,2,17,34,191,382,3247,6494

Greatest Common Factor

We found the factors 3027,6494 . The biggest common factor number is the GCF number.
So the greatest common factor 3027,6494 is 1.

Lets's calculate LCM of 743,940

Lowest Common Multiple of 743,940 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 698420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698420

Therefore, the GCF of Fractions 3027/743,6494/940 is 1/698420

Least Common Multiple of 743,940 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 743,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,940) = 1

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

GCF(743,940) x common factors =1 x 1 = 1

LCM(743,940) = ( 743 × 940 ) / 1

LCM(743,940) = 698420 / 1

LCM(743,940) = 698420

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FAQs on GCF of Fractions of 3027/743, 6494/940

1. What is the HCF of 3027,6494?

The HCF of 3027,6494 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 3027/743, 6494/940?

Answer: GCF of Numerators as per given numbers 3027/743, 6494/940 is

GCF of Numerators i.e. for 3027,6494 is 1

LCM of denominators i.e. for 743,940 is 698420.

Thus, GCF of Fractions is 1/698420.Finally, GCF of Fractions for 3027/743, 6494/940 is 1/698420.