Greatest Common Factor of 424/62, 762/12, 600/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/62, 762/12, 600/650

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 424/62,762/12,600/650

Given fractions are 424/62,762/12,600/650

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 424,762,600

Greatest Common Factor of Numerators i.e. GCF of 424,762,600 is 2 .

LCM of Denominators means LCM of 62,12,650 as per the given fractions.

LCM of 62,12,650 is 120900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,762,600

GCF of Fractions 424/62,762/12,600/650 is 2/120900

2 424, 762, 600
212, 381, 300

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

Greatest Common Factor of 424,762,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,762,600 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 424,762,600 . The biggest common factor number is the GCF number.
So the greatest common factor 424,762,600 is 2.

Lets's calculate LCM of 62,12,650

2 62, 12, 650
31, 6, 325

∴ So the LCM of the given numbers is 2 x 31 x 6 x 325 = 120900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120900

Therefore, the GCF of Fractions 424/62,762/12,600/650 is 2/120900

Least Common Multiple of 62,12,650 with GCF Formula

Least Common Multiple of 62,12,650 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 62,12,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,12,650) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(62,12,650) x common factors =2 x 2 = 4

LCM(62,12,650) = ( 62 × 12 × 650 ) / 4

LCM(62,12,650) = 483600 / 4

LCM(62,12,650) = 120900


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 424/62, 762/12, 600/650

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 424/62, 762/12, 600/650?

Answer: GCF of Numerators as per given numbers 424/62, 762/12, 600/650 is

GCF of Numerators i.e. for 424,762,600 is 2

LCM of denominators i.e. for 62,12,650 is 120900.

Thus, GCF of Fractions is 2/120900.Finally, GCF of Fractions for 424/62, 762/12, 600/650 is 2/120900.