Greatest Common Factor of 224/703, 1952/3686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/703, 1952/3686

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 224/703,1952/3686

Given fractions are 224/703,1952/3686

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 224,1952

Greatest Common Factor of Numerators i.e. GCF of 224,1952 is 32 .

LCM of Denominators means LCM of 703,3686 as per the given fractions.

LCM of 703,3686 is 136382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,1952

GCF of Fractions 224/703,1952/3686 is 32/136382

2 224, 1952
2 112, 976
2 56, 488
2 28, 244
2 14, 122
7, 61

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 224,1952 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,1952 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 1952

List of positive integer factors of 1952 that divides 1952 without a remainder.

1,2,4,8,16,32,61,122,244,488,976,1952

Greatest Common Factor

We found the factors 224,1952 . The biggest common factor number is the GCF number.
So the greatest common factor 224,1952 is 32.

Lets's calculate LCM of 703,3686

19 703, 3686
37, 194

∴ So the LCM of the given numbers is 19 x 37 x 194 = 136382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/136382

Therefore, the GCF of Fractions 224/703,1952/3686 is 32/136382

Least Common Multiple of 703,3686 with GCF Formula

Least Common Multiple of 703,3686 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 703,3686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,3686) = 19

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

GCF(703,3686) x common factors =19 x 1 = 19

LCM(703,3686) = ( 703 × 3686 ) / 19

LCM(703,3686) = 2591258 / 19

LCM(703,3686) = 136382


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 224/703, 1952/3686

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 224/703, 1952/3686?

Answer: GCF of Numerators as per given numbers 224/703, 1952/3686 is

GCF of Numerators i.e. for 224,1952 is 32

LCM of denominators i.e. for 703,3686 is 136382.

Thus, GCF of Fractions is 32/136382.Finally, GCF of Fractions for 224/703, 1952/3686 is 32/136382.