Greatest Common Factor of 1486/454, 1480/6575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1486/454, 1480/6575

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1486/454,1480/6575

Given fractions are 1486/454,1480/6575

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1486,1480

Greatest Common Factor of Numerators i.e. GCF of 1486,1480 is 2 .

LCM of Denominators means LCM of 454,6575 as per the given fractions.

LCM of 454,6575 is 2985050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1486,1480

GCF of Fractions 1486/454,1480/6575 is 2/2985050

2 1486, 1480
743, 740

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

Greatest Common Factor of 1486,1480 By Matching Biggest Common Factor Method

Greatest Common Factor of 1486,1480 By Matching Biggest Common Factor Method

Factors of 1486

List of positive integer factors of 1486 that divides 1486 without a remainder.

1,2,743,1486

Factors of 1480

List of positive integer factors of 1480 that divides 1480 without a remainder.

1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480

Greatest Common Factor

We found the factors 1486,1480 . The biggest common factor number is the GCF number.
So the greatest common factor 1486,1480 is 2.

Lets's calculate LCM of 454,6575

Given numbers has no common factors except 1. So, there LCM is their product i.e 2985050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2985050

Therefore, the GCF of Fractions 1486/454,1480/6575 is 2/2985050

Least Common Multiple of 454,6575 with GCF Formula

Least Common Multiple of 454,6575 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 454,6575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,6575) = 1

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

GCF(454,6575) x common factors =1 x 1 = 1

LCM(454,6575) = ( 454 × 6575 ) / 1

LCM(454,6575) = 2985050 / 1

LCM(454,6575) = 2985050


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1486/454, 1480/6575

1. 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.

2. What is the GCF of Fractions for 1486/454, 1480/6575?

Answer: GCF of Numerators as per given numbers 1486/454, 1480/6575 is

GCF of Numerators i.e. for 1486,1480 is 2

LCM of denominators i.e. for 454,6575 is 2985050.

Thus, GCF of Fractions is 2/2985050.Finally, GCF of Fractions for 1486/454, 1480/6575 is 2/2985050.