Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 594/63,690/28,917/813
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 594,690,917
Greatest Common Factor of Numerators i.e. GCF of 594,690,917 is 1 .
LCM of Denominators means LCM of 63,28,813 as per the given fractions.
LCM of 63,28,813 is 68292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 594,690,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
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 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 594,690,917 . The biggest common factor number is the GCF number.
So the greatest common factor 594,690,917 is 1.
Lets's calculate LCM of 63,28,813
3 | 63, 28, 813 |
7 | 21, 28, 271 |
3, 4, 271 |
∴ So the LCM of the given numbers is 3 x 7 x 3 x 4 x 271 = 68292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68292
Therefore, the GCF of Fractions 594/63,690/28,917/813 is 1/68292
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 63,28,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,28,813) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(63,28,813) x common factors =1 x 21 = 21
LCM(63,28,813) = ( 63 × 28 × 813 ) / 21
LCM(63,28,813) = 1434132 / 21
LCM(63,28,813) = 68292
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 594/63, 690/28, 917/813?
Answer: GCF of Numerators as per given numbers 594/63, 690/28, 917/813 is
GCF of Numerators i.e. for 594,690,917 is 1
LCM of denominators i.e. for 63,28,813 is 68292.
Thus, GCF of Fractions is 1/68292.Finally, GCF of Fractions for 594/63, 690/28, 917/813 is 1/68292.