Greatest Common Factor of 737/66, 808/10, 550/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 737/66, 808/10, 550/201

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 737/66,808/10,550/201

Given fractions are 737/66,808/10,550/201

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 737,808,550

Greatest Common Factor of Numerators i.e. GCF of 737,808,550 is 1 .

LCM of Denominators means LCM of 66,10,201 as per the given fractions.

LCM of 66,10,201 is 22110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 737,808,550

GCF of Fractions 737/66,808/10,550/201 is 1/22110

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

Greatest Common Factor of 737,808,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,808,550 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 737,808,550 . The biggest common factor number is the GCF number.
So the greatest common factor 737,808,550 is 1.

Lets's calculate LCM of 66,10,201

2 66, 10, 201
3 33, 5, 201
11, 5, 67

∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 67 = 22110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22110

Therefore, the GCF of Fractions 737/66,808/10,550/201 is 1/22110

Least Common Multiple of 66,10,201 with GCF Formula

Least Common Multiple of 66,10,201 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 66,10,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,10,201) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,10,201) x common factors =1 x 6 = 6

LCM(66,10,201) = ( 66 × 10 × 201 ) / 6

LCM(66,10,201) = 132660 / 6

LCM(66,10,201) = 22110


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 737/66, 808/10, 550/201

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 737/66, 808/10, 550/201?

Answer: GCF of Numerators as per given numbers 737/66, 808/10, 550/201 is

GCF of Numerators i.e. for 737,808,550 is 1

LCM of denominators i.e. for 66,10,201 is 22110.

Thus, GCF of Fractions is 1/22110.Finally, GCF of Fractions for 737/66, 808/10, 550/201 is 1/22110.