How to Find GCF of 64/73, 978/71, 208/187?

GCF of 64/73, 978/71, 208/187

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 64/73, 978/71, 208/187 i.e 2/969221 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/73, 978/71, 208/187.

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 64/73,978/71,208/187?

Given fractions are 64/73,978/71,208/187

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 64/73,978/71,208/187, numerators are 64,978,208

Denominators are 73,71,187

The GCF of 64,978,208 is 2 .

LCM of 73,71,187 is 969221.

The greatest common factor of 64/73,978/71,208/187 = [GCF of 64,978,208]/[LCM of 73,71,187]= 2/969221

Therefore, the GCF of 64/73,978/71,208/187 is 2/969221.

Greatest Common Factor of 64,978,208

To find the highest common factor of 64,978,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 64,978,208 is 2.

Lets's calculate GCF of 64,978,208

Greatest Common Factor (GCF) of 64,978,208 By Common Division

2	64, 978, 208
	32, 489, 104

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

Greatest Common Factor of 64,978,208 By Matching Biggest Common Factor Method

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 978

1,2,3,6,163,326,489,978

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 64,978,208 . The biggest common factor number is the GCF number.
So the greatest common factor 64,978,208 is 2.

Lets's calculate LCM of 73,71,187

Lowest Common Multiple of 73,71,187 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 969221

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/969221

Therefore, the GCF of Fractions 64/73,978/71,208/187 is 2/969221

Least Common Multiple of 73,71,187 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 73,71,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,71,187) = 1

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

GCF(73,71,187) x common factors =1 x 1 = 1

LCM(73,71,187) = ( 73 × 71 × 187 ) / 1

LCM(73,71,187) = 969221 / 1

LCM(73,71,187) = 969221

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 64/73, 978/71, 208/187

1. What is the HCF of 64,978,208?

The HCF of 64,978,208 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 64/73, 978/71, 208/187?

Answer: GCF of Numerators as per given numbers 64/73, 978/71, 208/187 is

GCF of Numerators i.e. for 64,978,208 is 2

LCM of denominators i.e. for 73,71,187 is 969221.

Thus, GCF of Fractions is 2/969221.Finally, GCF of Fractions for 64/73, 978/71, 208/187 is 2/969221.