Greatest Common Factor of 480/62, 510/17, 856/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/62, 510/17, 856/439

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 480/62,510/17,856/439

Given fractions are 480/62,510/17,856/439

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 480,510,856

Greatest Common Factor of Numerators i.e. GCF of 480,510,856 is 2 .

LCM of Denominators means LCM of 62,17,439 as per the given fractions.

LCM of 62,17,439 is 462706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,510,856

GCF of Fractions 480/62,510/17,856/439 is 2/462706

2 480, 510, 856
240, 255, 428

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

Greatest Common Factor of 480,510,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,510,856 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 480,510,856 . The biggest common factor number is the GCF number.
So the greatest common factor 480,510,856 is 2.

Lets's calculate LCM of 62,17,439

Given numbers has no common factors except 1. So, there LCM is their product i.e 462706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/462706

Therefore, the GCF of Fractions 480/62,510/17,856/439 is 2/462706

Least Common Multiple of 62,17,439 with GCF Formula

Least Common Multiple of 62,17,439 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 62,17,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,17,439) = 1

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

GCF(62,17,439) x common factors =1 x 1 = 1

LCM(62,17,439) = ( 62 × 17 × 439 ) / 1

LCM(62,17,439) = 462706 / 1

LCM(62,17,439) = 462706


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 480/62, 510/17, 856/439

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 480/62, 510/17, 856/439?

Answer: GCF of Numerators as per given numbers 480/62, 510/17, 856/439 is

GCF of Numerators i.e. for 480,510,856 is 2

LCM of denominators i.e. for 62,17,439 is 462706.

Thus, GCF of Fractions is 2/462706.Finally, GCF of Fractions for 480/62, 510/17, 856/439 is 2/462706.