Greatest Common Factor of 1117/33, 3528/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1117/33, 3528/275

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 1117/33,3528/275

Given fractions are 1117/33,3528/275

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 1117,3528

Greatest Common Factor of Numerators i.e. GCF of 1117,3528 is 1 .

LCM of Denominators means LCM of 33,275 as per the given fractions.

LCM of 33,275 is 825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1117,3528

GCF of Fractions 1117/33,3528/275 is 1/825

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

Greatest Common Factor of 1117,3528 By Matching Biggest Common Factor Method

Greatest Common Factor of 1117,3528 By Matching Biggest Common Factor Method

Factors of 1117

List of positive integer factors of 1117 that divides 1117 without a remainder.

1,1117

Factors of 3528

List of positive integer factors of 3528 that divides 3528 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,49,56,63,72,84,98,126,147,168,196,252,294,392,441,504,588,882,1176,1764,3528

Greatest Common Factor

We found the factors 1117,3528 . The biggest common factor number is the GCF number.
So the greatest common factor 1117,3528 is 1.

Lets's calculate LCM of 33,275

11 33, 275
3, 25

∴ So the LCM of the given numbers is 11 x 3 x 25 = 825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/825

Therefore, the GCF of Fractions 1117/33,3528/275 is 1/825

Least Common Multiple of 33,275 with GCF Formula

Least Common Multiple of 33,275 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 33,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,275) = 11

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

GCF(33,275) x common factors =11 x 1 = 11

LCM(33,275) = ( 33 × 275 ) / 11

LCM(33,275) = 9075 / 11

LCM(33,275) = 825


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 1117/33, 3528/275

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 1117/33, 3528/275?

Answer: GCF of Numerators as per given numbers 1117/33, 3528/275 is

GCF of Numerators i.e. for 1117,3528 is 1

LCM of denominators i.e. for 33,275 is 825.

Thus, GCF of Fractions is 1/825.Finally, GCF of Fractions for 1117/33, 3528/275 is 1/825.