Greatest Common Factor of 669/416, 703/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 669/416, 703/196

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 669/416,703/196

Given fractions are 669/416,703/196

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 669,703

Greatest Common Factor of Numerators i.e. GCF of 669,703 is 1 .

LCM of Denominators means LCM of 416,196 as per the given fractions.

LCM of 416,196 is 20384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 669,703

GCF of Fractions 669/416,703/196 is 1/20384

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

Greatest Common Factor of 669,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,703 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 669,703 . The biggest common factor number is the GCF number.
So the greatest common factor 669,703 is 1.

Lets's calculate LCM of 416,196

2 416, 196
2 208, 98
104, 49

∴ So the LCM of the given numbers is 2 x 2 x 104 x 49 = 20384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20384

Therefore, the GCF of Fractions 669/416,703/196 is 1/20384

Least Common Multiple of 416,196 with GCF Formula

Least Common Multiple of 416,196 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 416,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,196) = 4

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

GCF(416,196) x common factors =4 x 1 = 4

LCM(416,196) = ( 416 × 196 ) / 4

LCM(416,196) = 81536 / 4

LCM(416,196) = 20384


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 669/416, 703/196

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 669/416, 703/196?

Answer: GCF of Numerators as per given numbers 669/416, 703/196 is

GCF of Numerators i.e. for 669,703 is 1

LCM of denominators i.e. for 416,196 is 20384.

Thus, GCF of Fractions is 1/20384.Finally, GCF of Fractions for 669/416, 703/196 is 1/20384.