Greatest Common Factor of 37/33, 57/31, 63/73, 98/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/33, 57/31, 63/73, 98/850

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 37/33,57/31,63/73,98/850

Given fractions are 37/33,57/31,63/73,98/850

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 37,57,63,98

Greatest Common Factor of Numerators i.e. GCF of 37,57,63,98 is 1 .

LCM of Denominators means LCM of 33,31,73,850 as per the given fractions.

LCM of 33,31,73,850 is 63477150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,57,63,98

GCF of Fractions 37/33,57/31,63/73,98/850 is 1/63477150

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 37,57,63,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,57,63,98 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 37,57,63,98 . The biggest common factor number is the GCF number.
So the greatest common factor 37,57,63,98 is 1.

Lets's calculate LCM of 33,31,73,850

Given numbers has no common factors except 1. So, there LCM is their product i.e 63477150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63477150

Therefore, the GCF of Fractions 37/33,57/31,63/73,98/850 is 1/63477150

Least Common Multiple of 33,31,73,850 with GCF Formula

Least Common Multiple of 33,31,73,850 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 33,31,73,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,31,73,850) = 1

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

GCF(33,31,73,850) x common factors =1 x 1 = 1

LCM(33,31,73,850) = ( 33 × 31 × 73 × 850 ) / 1

LCM(33,31,73,850) = 63477150 / 1

LCM(33,31,73,850) = 63477150


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 37/33, 57/31, 63/73, 98/850

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 37/33, 57/31, 63/73, 98/850?

Answer: GCF of Numerators as per given numbers 37/33, 57/31, 63/73, 98/850 is

GCF of Numerators i.e. for 37,57,63,98 is 1

LCM of denominators i.e. for 33,31,73,850 is 63477150.

Thus, GCF of Fractions is 1/63477150.Finally, GCF of Fractions for 37/33, 57/31, 63/73, 98/850 is 1/63477150.