Greatest Common Factor of 1701/553, 9324/8911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1701/553, 9324/8911

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 1701/553,9324/8911

Given fractions are 1701/553,9324/8911

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 1701,9324

Greatest Common Factor of Numerators i.e. GCF of 1701,9324 is 63 .

LCM of Denominators means LCM of 553,8911 as per the given fractions.

LCM of 553,8911 is 703969 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1701,9324

GCF of Fractions 1701/553,9324/8911 is 63/703969

3 1701, 9324
3 567, 3108
7 189, 1036
27, 148

∴ So the GCF of the given numbers is 3 x 3 x 7 = 63

Greatest Common Factor of 1701,9324 By Matching Biggest Common Factor Method

Greatest Common Factor of 1701,9324 By Matching Biggest Common Factor Method

Factors of 1701

List of positive integer factors of 1701 that divides 1701 without a remainder.

1,3,7,9,21,27,63,81,189,243,567,1701

Factors of 9324

List of positive integer factors of 9324 that divides 9324 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324

Greatest Common Factor

We found the factors 1701,9324 . The biggest common factor number is the GCF number.
So the greatest common factor 1701,9324 is 63.

Lets's calculate LCM of 553,8911

7 553, 8911
79, 1273

∴ So the LCM of the given numbers is 7 x 79 x 1273 = 703969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/703969

Therefore, the GCF of Fractions 1701/553,9324/8911 is 63/703969

Least Common Multiple of 553,8911 with GCF Formula

Least Common Multiple of 553,8911 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 553,8911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,8911) = 7

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

GCF(553,8911) x common factors =7 x 1 = 7

LCM(553,8911) = ( 553 × 8911 ) / 7

LCM(553,8911) = 4927783 / 7

LCM(553,8911) = 703969


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 1701/553, 9324/8911

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 1701/553, 9324/8911?

Answer: GCF of Numerators as per given numbers 1701/553, 9324/8911 is

GCF of Numerators i.e. for 1701,9324 is 63

LCM of denominators i.e. for 553,8911 is 703969.

Thus, GCF of Fractions is 63/703969.Finally, GCF of Fractions for 1701/553, 9324/8911 is 63/703969.