Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/560,13/362,554/763
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 85,13,554
Greatest Common Factor of Numerators i.e. GCF of 85,13,554 is 1 .
LCM of Denominators means LCM of 560,362,763 as per the given fractions.
LCM of 560,362,763 is 11048240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,13,554
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 85,13,554 . The biggest common factor number is the GCF number.
So the greatest common factor 85,13,554 is 1.
Lets's calculate LCM of 560,362,763
2 | 560, 362, 763 |
7 | 280, 181, 763 |
40, 181, 109 |
∴ So the LCM of the given numbers is 2 x 7 x 40 x 181 x 109 = 11048240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11048240
Therefore, the GCF of Fractions 85/560,13/362,554/763 is 1/11048240
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 560,362,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,362,763) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(560,362,763) x common factors =1 x 14 = 14
LCM(560,362,763) = ( 560 × 362 × 763 ) / 14
LCM(560,362,763) = 154675360 / 14
LCM(560,362,763) = 11048240
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 85/560, 13/362, 554/763?
Answer: GCF of Numerators as per given numbers 85/560, 13/362, 554/763 is
GCF of Numerators i.e. for 85,13,554 is 1
LCM of denominators i.e. for 560,362,763 is 11048240.
Thus, GCF of Fractions is 1/11048240.Finally, GCF of Fractions for 85/560, 13/362, 554/763 is 1/11048240.