How to Find GCF of 6654/978, 2598/623?

GCF of 6654/978, 2598/623

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 6654/978, 2598/623 i.e 6/609294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6654/978, 2598/623.

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 6654/978,2598/623?

Given fractions are 6654/978,2598/623

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 6654/978,2598/623, numerators are 6654,2598

Denominators are 978,623

The GCF of 6654,2598 is 6 .

LCM of 978,623 is 609294.

The greatest common factor of 6654/978,2598/623 = [GCF of 6654,2598]/[LCM of 978,623]= 6/609294

Therefore, the GCF of 6654/978,2598/623 is 6/609294.

Greatest Common Factor of 6654,2598

To find the highest common factor of 6654,2598, we have to find the factors of both numbers and list the highest common factor.

The factors of 6654 are 1, 2, 3, 6, 1109, 2218, 3327, 6654

The factors of 2598 are 1, 2, 3, 6, 433, 866, 1299, 2598

The HCF of 6654,2598 is 6.

Lets's calculate GCF of 6654,2598

Greatest Common Factor (GCF) of 6654,2598 By Common Division

2	6654, 2598
3	3327, 1299
	1109, 433

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6654,2598 By Matching Biggest Common Factor Method

Now, list down the factors of 6654

1,2,3,6,1109,2218,3327,6654

Now, list down the factors of 2598

1,2,3,6,433,866,1299,2598

Greatest Common Factor

We found the factors 6654,2598 . The biggest common factor number is the GCF number.
So the greatest common factor 6654,2598 is 6.

Lets's calculate LCM of 978,623

Lowest Common Multiple of 978,623 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 609294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/609294

Therefore, the GCF of Fractions 6654/978,2598/623 is 6/609294

Least Common Multiple of 978,623 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 978,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,623) = 1

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

GCF(978,623) x common factors =1 x 1 = 1

LCM(978,623) = ( 978 × 623 ) / 1

LCM(978,623) = 609294 / 1

LCM(978,623) = 609294

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6654/978, 2598/623

1. What is the HCF of 6654,2598?

The HCF of 6654,2598 is 6

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 6654/978, 2598/623?

Answer: GCF of Numerators as per given numbers 6654/978, 2598/623 is

GCF of Numerators i.e. for 6654,2598 is 6

LCM of denominators i.e. for 978,623 is 609294.

Thus, GCF of Fractions is 6/609294.Finally, GCF of Fractions for 6654/978, 2598/623 is 6/609294.