How to Find GCF of 3274/958, 6780/2439?

GCF of 3274/958, 6780/2439

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 3274/958, 6780/2439 i.e 2/2336562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3274/958, 6780/2439.

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 3274/958,6780/2439?

Given fractions are 3274/958,6780/2439

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 3274/958,6780/2439, numerators are 3274,6780

Denominators are 958,2439

The GCF of 3274,6780 is 2 .

LCM of 958,2439 is 2336562.

The greatest common factor of 3274/958,6780/2439 = [GCF of 3274,6780]/[LCM of 958,2439]= 2/2336562

Therefore, the GCF of 3274/958,6780/2439 is 2/2336562.

Greatest Common Factor of 3274,6780

To find the highest common factor of 3274,6780, we have to find the factors of both numbers and list the highest common factor.

The factors of 3274 are 1, 2, 1637, 3274

The factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780

The HCF of 3274,6780 is 2.

Lets's calculate GCF of 3274,6780

Greatest Common Factor (GCF) of 3274,6780 By Common Division

2	3274, 6780
	1637, 3390

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3274,6780 By Matching Biggest Common Factor Method

Now, list down the factors of 3274

1,2,1637,3274

Now, list down the factors of 6780

1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780

Greatest Common Factor

We found the factors 3274,6780 . The biggest common factor number is the GCF number.
So the greatest common factor 3274,6780 is 2.

Lets's calculate LCM of 958,2439

Lowest Common Multiple of 958,2439 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2336562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2336562

Therefore, the GCF of Fractions 3274/958,6780/2439 is 2/2336562

Least Common Multiple of 958,2439 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 958,2439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,2439) = 1

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

GCF(958,2439) x common factors =1 x 1 = 1

LCM(958,2439) = ( 958 × 2439 ) / 1

LCM(958,2439) = 2336562 / 1

LCM(958,2439) = 2336562

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3274/958, 6780/2439

1. What is the HCF of 3274,6780?

The HCF of 3274,6780 is 2

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 3274/958, 6780/2439?

Answer: GCF of Numerators as per given numbers 3274/958, 6780/2439 is

GCF of Numerators i.e. for 3274,6780 is 2

LCM of denominators i.e. for 958,2439 is 2336562.

Thus, GCF of Fractions is 2/2336562.Finally, GCF of Fractions for 3274/958, 6780/2439 is 2/2336562.