Greatest Common Factor of 212/758, 4505/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/758, 4505/978

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 212/758,4505/978

Given fractions are 212/758,4505/978

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 212,4505

Greatest Common Factor of Numerators i.e. GCF of 212,4505 is 53 .

LCM of Denominators means LCM of 758,978 as per the given fractions.

LCM of 758,978 is 370662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,4505

GCF of Fractions 212/758,4505/978 is 53/370662

53 212, 4505
4, 85

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 212,4505 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,4505 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 4505

List of positive integer factors of 4505 that divides 4505 without a remainder.

1,5,17,53,85,265,901,4505

Greatest Common Factor

We found the factors 212,4505 . The biggest common factor number is the GCF number.
So the greatest common factor 212,4505 is 53.

Lets's calculate LCM of 758,978

2 758, 978
379, 489

∴ So the LCM of the given numbers is 2 x 379 x 489 = 370662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/370662

Therefore, the GCF of Fractions 212/758,4505/978 is 53/370662

Least Common Multiple of 758,978 with GCF Formula

Least Common Multiple of 758,978 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 758,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,978) = 2

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

GCF(758,978) x common factors =2 x 1 = 2

LCM(758,978) = ( 758 × 978 ) / 2

LCM(758,978) = 741324 / 2

LCM(758,978) = 370662


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 212/758, 4505/978

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 212/758, 4505/978?

Answer: GCF of Numerators as per given numbers 212/758, 4505/978 is

GCF of Numerators i.e. for 212,4505 is 53

LCM of denominators i.e. for 758,978 is 370662.

Thus, GCF of Fractions is 53/370662.Finally, GCF of Fractions for 212/758, 4505/978 is 53/370662.