Greatest Common Factor of 38/535, 216/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/535, 216/850

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 38/535,216/850

Given fractions are 38/535,216/850

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 38,216

Greatest Common Factor of Numerators i.e. GCF of 38,216 is 2 .

LCM of Denominators means LCM of 535,850 as per the given fractions.

LCM of 535,850 is 90950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,216

GCF of Fractions 38/535,216/850 is 2/90950

2 38, 216
19, 108

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

Greatest Common Factor of 38,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,216 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 38,216 . The biggest common factor number is the GCF number.
So the greatest common factor 38,216 is 2.

Lets's calculate LCM of 535,850

5 535, 850
107, 170

∴ So the LCM of the given numbers is 5 x 107 x 170 = 90950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/90950

Therefore, the GCF of Fractions 38/535,216/850 is 2/90950

Least Common Multiple of 535,850 with GCF Formula

Least Common Multiple of 535,850 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 535,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,850) = 5

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

GCF(535,850) x common factors =5 x 1 = 5

LCM(535,850) = ( 535 × 850 ) / 5

LCM(535,850) = 454750 / 5

LCM(535,850) = 90950


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 38/535, 216/850

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 38/535, 216/850?

Answer: GCF of Numerators as per given numbers 38/535, 216/850 is

GCF of Numerators i.e. for 38,216 is 2

LCM of denominators i.e. for 535,850 is 90950.

Thus, GCF of Fractions is 2/90950.Finally, GCF of Fractions for 38/535, 216/850 is 2/90950.