How to Find GCF of 67/65, 904/16, 668/977?

GCF of 67/65, 904/16, 668/977

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 67/65, 904/16, 668/977 i.e 1/1016080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/65, 904/16, 668/977.

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 67/65,904/16,668/977?

Given fractions are 67/65,904/16,668/977

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 67/65,904/16,668/977, numerators are 67,904,668

Denominators are 65,16,977

The GCF of 67,904,668 is 1 .

LCM of 65,16,977 is 1016080.

The greatest common factor of 67/65,904/16,668/977 = [GCF of 67,904,668]/[LCM of 65,16,977]= 1/1016080

Therefore, the GCF of 67/65,904/16,668/977 is 1/1016080.

Greatest Common Factor of 67,904,668

To find the highest common factor of 67,904,668, we have to find the factors of both numbers and list the highest common factor.

The factors of 67 are 1, 67

The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904

The factors of 668 are 1, 2, 4, 167, 334, 668

The HCF of 67,904,668 is 1.

Lets's calculate GCF of 67,904,668

Greatest Common Factor (GCF) of 67,904,668 By Common Division

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

Greatest Common Factor of 67,904,668 By Matching Biggest Common Factor Method

Now, list down the factors of 67

1,67

Now, list down the factors of 904

1,2,4,8,113,226,452,904

Now, list down the factors of 668

1,2,4,167,334,668

Greatest Common Factor

We found the factors 67,904,668 . The biggest common factor number is the GCF number.
So the greatest common factor 67,904,668 is 1.

Lets's calculate LCM of 65,16,977

Lowest Common Multiple of 65,16,977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1016080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1016080

Therefore, the GCF of Fractions 67/65,904/16,668/977 is 1/1016080

Least Common Multiple of 65,16,977 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 65,16,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,16,977) = 1

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

GCF(65,16,977) x common factors =1 x 1 = 1

LCM(65,16,977) = ( 65 × 16 × 977 ) / 1

LCM(65,16,977) = 1016080 / 1

LCM(65,16,977) = 1016080

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 67/65, 904/16, 668/977

1. What is the HCF of 67,904,668?

The HCF of 67,904,668 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 67/65, 904/16, 668/977?

Answer: GCF of Numerators as per given numbers 67/65, 904/16, 668/977 is

GCF of Numerators i.e. for 67,904,668 is 1

LCM of denominators i.e. for 65,16,977 is 1016080.

Thus, GCF of Fractions is 1/1016080.Finally, GCF of Fractions for 67/65, 904/16, 668/977 is 1/1016080.