Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9780/840,5857/8092
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 9780,5857
Greatest Common Factor of Numerators i.e. GCF of 9780,5857 is 1 .
LCM of Denominators means LCM of 840,8092 as per the given fractions.
LCM of 840,8092 is 242760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9780,5857
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9780
List of positive integer factors of 9780 that divides 9780 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780
Factors of 5857
List of positive integer factors of 5857 that divides 5857 without a remainder.
1,5857
Greatest Common Factor
We found the factors 9780,5857 . The biggest common factor number is the GCF number.
So the greatest common factor 9780,5857 is 1.
Lets's calculate LCM of 840,8092
2 | 840, 8092 |
2 | 420, 4046 |
7 | 210, 2023 |
30, 289 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 30 x 289 = 242760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242760
Therefore, the GCF of Fractions 9780/840,5857/8092 is 1/242760
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 840,8092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,8092) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(840,8092) x common factors =28 x 1 = 28
LCM(840,8092) = ( 840 × 8092 ) / 28
LCM(840,8092) = 6797280 / 28
LCM(840,8092) = 242760
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 9780/840, 5857/8092?
Answer: GCF of Numerators as per given numbers 9780/840, 5857/8092 is
GCF of Numerators i.e. for 9780,5857 is 1
LCM of denominators i.e. for 840,8092 is 242760.
Thus, GCF of Fractions is 1/242760.Finally, GCF of Fractions for 9780/840, 5857/8092 is 1/242760.