Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/46,39/57,17/91,74/84
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 63,39,17,74
Greatest Common Factor of Numerators i.e. GCF of 63,39,17,74 is 1 .
LCM of Denominators means LCM of 46,57,91,84 as per the given fractions.
LCM of 46,57,91,84 is 477204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,39,17,74
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Greatest Common Factor
We found the factors 63,39,17,74 . The biggest common factor number is the GCF number.
So the greatest common factor 63,39,17,74 is 1.
Lets's calculate LCM of 46,57,91,84
2 | 46, 57, 91, 84 |
3 | 23, 57, 91, 42 |
7 | 23, 19, 91, 14 |
23, 19, 13, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 19 x 13 x 2 = 477204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477204
Therefore, the GCF of Fractions 63/46,39/57,17/91,74/84 is 1/477204
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 46,57,91,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,57,91,84) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(46,57,91,84) x common factors =1 x 42 = 42
LCM(46,57,91,84) = ( 46 × 57 × 91 × 84 ) / 42
LCM(46,57,91,84) = 20042568 / 42
LCM(46,57,91,84) = 477204
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 63/46, 39/57, 17/91, 74/84?
Answer: GCF of Numerators as per given numbers 63/46, 39/57, 17/91, 74/84 is
GCF of Numerators i.e. for 63,39,17,74 is 1
LCM of denominators i.e. for 46,57,91,84 is 477204.
Thus, GCF of Fractions is 1/477204.Finally, GCF of Fractions for 63/46, 39/57, 17/91, 74/84 is 1/477204.