How to Find GCF of 85/100, 89/978, 619/715?

GCF of 85/100, 89/978, 619/715

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 85/100, 89/978, 619/715 i.e 1/6992700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/100, 89/978, 619/715.

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 85/100,89/978,619/715?

Given fractions are 85/100,89/978,619/715

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 85/100,89/978,619/715, numerators are 85,89,619

Denominators are 100,978,715

The GCF of 85,89,619 is 1 .

LCM of 100,978,715 is 6992700.

The greatest common factor of 85/100,89/978,619/715 = [GCF of 85,89,619]/[LCM of 100,978,715]= 1/6992700

Therefore, the GCF of 85/100,89/978,619/715 is 1/6992700.

Greatest Common Factor of 85,89,619

To find the highest common factor of 85,89,619, we have to find the factors of both numbers and list the highest common factor.

The factors of 85 are 1, 5, 17, 85

The factors of 89 are 1, 89

The factors of 619 are 1, 619

The HCF of 85,89,619 is 1.

Lets's calculate GCF of 85,89,619

Greatest Common Factor (GCF) of 85,89,619 By Common Division

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

Greatest Common Factor of 85,89,619 By Matching Biggest Common Factor Method

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 89

1,89

Now, list down the factors of 619

1,619

Greatest Common Factor

We found the factors 85,89,619 . The biggest common factor number is the GCF number.
So the greatest common factor 85,89,619 is 1.

Lets's calculate LCM of 100,978,715

Lowest Common Multiple of 100,978,715 using Common Division

2	100, 978, 715
5	50, 489, 715
	10, 489, 143

∴ So the LCM of the given numbers is 2 x 5 x 10 x 489 x 143 = 6992700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6992700

Therefore, the GCF of Fractions 85/100,89/978,619/715 is 1/6992700

Least Common Multiple of 100,978,715 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 100,978,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,978,715) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(100,978,715) x common factors =1 x 10 = 10

LCM(100,978,715) = ( 100 × 978 × 715 ) / 10

LCM(100,978,715) = 69927000 / 10

LCM(100,978,715) = 6992700

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 85/100, 89/978, 619/715

1. What is the HCF of 85,89,619?

The HCF of 85,89,619 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 85/100, 89/978, 619/715?

Answer: GCF of Numerators as per given numbers 85/100, 89/978, 619/715 is

GCF of Numerators i.e. for 85,89,619 is 1

LCM of denominators i.e. for 100,978,715 is 6992700.

Thus, GCF of Fractions is 1/6992700.Finally, GCF of Fractions for 85/100, 89/978, 619/715 is 1/6992700.