How to Find GCF of 3176/457, 1481/7662?

GCF of 3176/457, 1481/7662

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 3176/457, 1481/7662 i.e 1/3501534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3176/457, 1481/7662.

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 3176/457,1481/7662?

Given fractions are 3176/457,1481/7662

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 3176/457,1481/7662, numerators are 3176,1481

Denominators are 457,7662

The GCF of 3176,1481 is 1 .

LCM of 457,7662 is 3501534.

The greatest common factor of 3176/457,1481/7662 = [GCF of 3176,1481]/[LCM of 457,7662]= 1/3501534

Therefore, the GCF of 3176/457,1481/7662 is 1/3501534.

Greatest Common Factor of 3176,1481

To find the highest common factor of 3176,1481, we have to find the factors of both numbers and list the highest common factor.

The factors of 3176 are 1, 2, 4, 8, 397, 794, 1588, 3176

The factors of 1481 are 1, 1481

The HCF of 3176,1481 is 1.

Lets's calculate GCF of 3176,1481

Greatest Common Factor (GCF) of 3176,1481 By Common Division

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

Greatest Common Factor of 3176,1481 By Matching Biggest Common Factor Method

Now, list down the factors of 3176

1,2,4,8,397,794,1588,3176

Now, list down the factors of 1481

1,1481

Greatest Common Factor

We found the factors 3176,1481 . The biggest common factor number is the GCF number.
So the greatest common factor 3176,1481 is 1.

Lets's calculate LCM of 457,7662

Lowest Common Multiple of 457,7662 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3501534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3501534

Therefore, the GCF of Fractions 3176/457,1481/7662 is 1/3501534

Least Common Multiple of 457,7662 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 457,7662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,7662) = 1

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

GCF(457,7662) x common factors =1 x 1 = 1

LCM(457,7662) = ( 457 × 7662 ) / 1

LCM(457,7662) = 3501534 / 1

LCM(457,7662) = 3501534

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3176/457, 1481/7662

1. What is the HCF of 3176,1481?

The HCF of 3176,1481 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 3176/457, 1481/7662?

Answer: GCF of Numerators as per given numbers 3176/457, 1481/7662 is

GCF of Numerators i.e. for 3176,1481 is 1

LCM of denominators i.e. for 457,7662 is 3501534.

Thus, GCF of Fractions is 1/3501534.Finally, GCF of Fractions for 3176/457, 1481/7662 is 1/3501534.