How to Find GCF of 650/95, 678/17, 731/78?

GCF of 650/95, 678/17, 731/78

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 650/95, 678/17, 731/78 i.e 1/125970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/95, 678/17, 731/78.

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 650/95,678/17,731/78?

Given fractions are 650/95,678/17,731/78

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 650/95,678/17,731/78, numerators are 650,678,731

Denominators are 95,17,78

The GCF of 650,678,731 is 1 .

LCM of 95,17,78 is 125970.

The greatest common factor of 650/95,678/17,731/78 = [GCF of 650,678,731]/[LCM of 95,17,78]= 1/125970

Therefore, the GCF of 650/95,678/17,731/78 is 1/125970.

Greatest Common Factor of 650,678,731

To find the highest common factor of 650,678,731, we have to find the factors of both numbers and list the highest common factor.

The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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

The factors of 731 are 1, 17, 43, 731

The HCF of 650,678,731 is 1.

Lets's calculate GCF of 650,678,731

Greatest Common Factor (GCF) of 650,678,731 By Common Division

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

Greatest Common Factor of 650,678,731 By Matching Biggest Common Factor Method

Now, list down the factors of 650

1,2,5,10,13,25,26,50,65,130,325,650

Now, list down the factors of 678

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

Now, list down the factors of 731

1,17,43,731

Greatest Common Factor

We found the factors 650,678,731 . The biggest common factor number is the GCF number.
So the greatest common factor 650,678,731 is 1.

Lets's calculate LCM of 95,17,78

Lowest Common Multiple of 95,17,78 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 125970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125970

Therefore, the GCF of Fractions 650/95,678/17,731/78 is 1/125970

Least Common Multiple of 95,17,78 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 95,17,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,17,78) = 1

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

GCF(95,17,78) x common factors =1 x 1 = 1

LCM(95,17,78) = ( 95 × 17 × 78 ) / 1

LCM(95,17,78) = 125970 / 1

LCM(95,17,78) = 125970

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 650/95, 678/17, 731/78

1. What is the HCF of 650,678,731?

The HCF of 650,678,731 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 650/95, 678/17, 731/78?

Answer: GCF of Numerators as per given numbers 650/95, 678/17, 731/78 is

GCF of Numerators i.e. for 650,678,731 is 1

LCM of denominators i.e. for 95,17,78 is 125970.

Thus, GCF of Fractions is 1/125970.Finally, GCF of Fractions for 650/95, 678/17, 731/78 is 1/125970.