How to Find GCF of 2974/733, 6504/8270?

GCF of 2974/733, 6504/8270

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 2974/733, 6504/8270 i.e 2/6061910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2974/733, 6504/8270.

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 2974/733,6504/8270?

Given fractions are 2974/733,6504/8270

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 2974/733,6504/8270, numerators are 2974,6504

Denominators are 733,8270

The GCF of 2974,6504 is 2 .

LCM of 733,8270 is 6061910.

The greatest common factor of 2974/733,6504/8270 = [GCF of 2974,6504]/[LCM of 733,8270]= 2/6061910

Therefore, the GCF of 2974/733,6504/8270 is 2/6061910.

Greatest Common Factor of 2974,6504

To find the highest common factor of 2974,6504, we have to find the factors of both numbers and list the highest common factor.

The factors of 2974 are 1, 2, 1487, 2974

The factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504

The HCF of 2974,6504 is 2.

Lets's calculate GCF of 2974,6504

Greatest Common Factor (GCF) of 2974,6504 By Common Division

2	2974, 6504
	1487, 3252

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

Greatest Common Factor of 2974,6504 By Matching Biggest Common Factor Method

Now, list down the factors of 2974

1,2,1487,2974

Now, list down the factors of 6504

1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504

Greatest Common Factor

We found the factors 2974,6504 . The biggest common factor number is the GCF number.
So the greatest common factor 2974,6504 is 2.

Lets's calculate LCM of 733,8270

Lowest Common Multiple of 733,8270 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6061910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6061910

Therefore, the GCF of Fractions 2974/733,6504/8270 is 2/6061910

Least Common Multiple of 733,8270 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 733,8270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,8270) = 1

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

GCF(733,8270) x common factors =1 x 1 = 1

LCM(733,8270) = ( 733 × 8270 ) / 1

LCM(733,8270) = 6061910 / 1

LCM(733,8270) = 6061910

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2974/733, 6504/8270

1. What is the HCF of 2974,6504?

The HCF of 2974,6504 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 2974/733, 6504/8270?

Answer: GCF of Numerators as per given numbers 2974/733, 6504/8270 is

GCF of Numerators i.e. for 2974,6504 is 2

LCM of denominators i.e. for 733,8270 is 6061910.

Thus, GCF of Fractions is 2/6061910.Finally, GCF of Fractions for 2974/733, 6504/8270 is 2/6061910.