Greatest Common Factor of 50/214, 4550/9670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/214, 4550/9670

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 50/214,4550/9670

Given fractions are 50/214,4550/9670

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 50,4550

Greatest Common Factor of Numerators i.e. GCF of 50,4550 is 50 .

LCM of Denominators means LCM of 214,9670 as per the given fractions.

LCM of 214,9670 is 1034690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,4550

GCF of Fractions 50/214,4550/9670 is 50/1034690

2 50, 4550
5 25, 2275
5 5, 455
1, 91

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 50,4550 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,4550 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550

Greatest Common Factor

We found the factors 50,4550 . The biggest common factor number is the GCF number.
So the greatest common factor 50,4550 is 50.

Lets's calculate LCM of 214,9670

2 214, 9670
107, 4835

∴ So the LCM of the given numbers is 2 x 107 x 4835 = 1034690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/1034690

Therefore, the GCF of Fractions 50/214,4550/9670 is 50/1034690

Least Common Multiple of 214,9670 with GCF Formula

Least Common Multiple of 214,9670 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 214,9670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,9670) = 2

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

GCF(214,9670) x common factors =2 x 1 = 2

LCM(214,9670) = ( 214 × 9670 ) / 2

LCM(214,9670) = 2069380 / 2

LCM(214,9670) = 1034690


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 50/214, 4550/9670

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 50/214, 4550/9670?

Answer: GCF of Numerators as per given numbers 50/214, 4550/9670 is

GCF of Numerators i.e. for 50,4550 is 50

LCM of denominators i.e. for 214,9670 is 1034690.

Thus, GCF of Fractions is 50/1034690.Finally, GCF of Fractions for 50/214, 4550/9670 is 50/1034690.