How to Find GCF of 11/40, 678/80, 647/598?

GCF of 11/40, 678/80, 647/598

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 11/40, 678/80, 647/598 i.e 1/23920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/40, 678/80, 647/598.

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 11/40,678/80,647/598?

Given fractions are 11/40,678/80,647/598

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 11/40,678/80,647/598, numerators are 11,678,647

Denominators are 40,80,598

The GCF of 11,678,647 is 1 .

LCM of 40,80,598 is 23920.

The greatest common factor of 11/40,678/80,647/598 = [GCF of 11,678,647]/[LCM of 40,80,598]= 1/23920

Therefore, the GCF of 11/40,678/80,647/598 is 1/23920.

Greatest Common Factor of 11,678,647

To find the highest common factor of 11,678,647, we have to find the factors of both numbers and list the highest common factor.

The factors of 11 are 1, 11

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The factors of 647 are 1, 647

The HCF of 11,678,647 is 1.

Lets's calculate GCF of 11,678,647

Greatest Common Factor (GCF) of 11,678,647 By Common Division

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

Greatest Common Factor of 11,678,647 By Matching Biggest Common Factor Method

Now, list down the factors of 11

1,11

Now, list down the factors of 678

1,2,3,6,113,226,339,678

Now, list down the factors of 647

1,647

Greatest Common Factor

We found the factors 11,678,647 . The biggest common factor number is the GCF number.
So the greatest common factor 11,678,647 is 1.

Lets's calculate LCM of 40,80,598

Lowest Common Multiple of 40,80,598 using Common Division

2	40, 80, 598
2	20, 40, 299
2	10, 20, 299
5	5, 10, 299
	1, 2, 299

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 2 x 299 = 23920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23920

Therefore, the GCF of Fractions 11/40,678/80,647/598 is 1/23920

Least Common Multiple of 40,80,598 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 40,80,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,80,598) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(40,80,598) x common factors =2 x 40 = 80

LCM(40,80,598) = ( 40 × 80 × 598 ) / 80

LCM(40,80,598) = 1913600 / 80

LCM(40,80,598) = 23920

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 11/40, 678/80, 647/598

1. What is the HCF of 11,678,647?

The HCF of 11,678,647 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 11/40, 678/80, 647/598?

Answer: GCF of Numerators as per given numbers 11/40, 678/80, 647/598 is

GCF of Numerators i.e. for 11,678,647 is 1

LCM of denominators i.e. for 40,80,598 is 23920.

Thus, GCF of Fractions is 1/23920.Finally, GCF of Fractions for 11/40, 678/80, 647/598 is 1/23920.