Greatest Common Factor of 924/46, 207/3575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 924/46, 207/3575

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 924/46,207/3575

Given fractions are 924/46,207/3575

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 924,207

Greatest Common Factor of Numerators i.e. GCF of 924,207 is 3 .

LCM of Denominators means LCM of 46,3575 as per the given fractions.

LCM of 46,3575 is 164450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 924,207

GCF of Fractions 924/46,207/3575 is 3/164450

3 924, 207
308, 69

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 924,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,207 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 924,207 . The biggest common factor number is the GCF number.
So the greatest common factor 924,207 is 3.

Lets's calculate LCM of 46,3575

Given numbers has no common factors except 1. So, there LCM is their product i.e 164450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/164450

Therefore, the GCF of Fractions 924/46,207/3575 is 3/164450

Least Common Multiple of 46,3575 with GCF Formula

Least Common Multiple of 46,3575 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 46,3575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,3575) = 1

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

GCF(46,3575) x common factors =1 x 1 = 1

LCM(46,3575) = ( 46 × 3575 ) / 1

LCM(46,3575) = 164450 / 1

LCM(46,3575) = 164450


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 924/46, 207/3575

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 924/46, 207/3575?

Answer: GCF of Numerators as per given numbers 924/46, 207/3575 is

GCF of Numerators i.e. for 924,207 is 3

LCM of denominators i.e. for 46,3575 is 164450.

Thus, GCF of Fractions is 3/164450.Finally, GCF of Fractions for 924/46, 207/3575 is 3/164450.