Greatest Common Factor of 690/735, 8464/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/735, 8464/633

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 690/735,8464/633

Given fractions are 690/735,8464/633

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 690,8464

Greatest Common Factor of Numerators i.e. GCF of 690,8464 is 46 .

LCM of Denominators means LCM of 735,633 as per the given fractions.

LCM of 735,633 is 155085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,8464

GCF of Fractions 690/735,8464/633 is 46/155085

2 690, 8464
23 345, 4232
15, 184

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 690,8464 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,8464 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Greatest Common Factor

We found the factors 690,8464 . The biggest common factor number is the GCF number.
So the greatest common factor 690,8464 is 46.

Lets's calculate LCM of 735,633

3 735, 633
245, 211

∴ So the LCM of the given numbers is 3 x 245 x 211 = 155085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/155085

Therefore, the GCF of Fractions 690/735,8464/633 is 46/155085

Least Common Multiple of 735,633 with GCF Formula

Least Common Multiple of 735,633 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 735,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,633) = 3

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

GCF(735,633) x common factors =3 x 1 = 3

LCM(735,633) = ( 735 × 633 ) / 3

LCM(735,633) = 465255 / 3

LCM(735,633) = 155085


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 690/735, 8464/633

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 690/735, 8464/633?

Answer: GCF of Numerators as per given numbers 690/735, 8464/633 is

GCF of Numerators i.e. for 690,8464 is 46

LCM of denominators i.e. for 735,633 is 155085.

Thus, GCF of Fractions is 46/155085.Finally, GCF of Fractions for 690/735, 8464/633 is 46/155085.