Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2280/830,3980/555
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 2280,3980
Greatest Common Factor of Numerators i.e. GCF of 2280,3980 is 20 .
LCM of Denominators means LCM of 830,555 as per the given fractions.
LCM of 830,555 is 92130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2280,3980
2 | 2280, 3980 |
2 | 1140, 1990 |
5 | 570, 995 |
114, 199 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 2280
List of positive integer factors of 2280 that divides 2280 without a remainder.
1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Factors of 3980
List of positive integer factors of 3980 that divides 3980 without a remainder.
1,2,4,5,10,20,199,398,796,995,1990,3980
Greatest Common Factor
We found the factors 2280,3980 . The biggest common factor number is the GCF number.
So the greatest common factor 2280,3980 is 20.
Lets's calculate LCM of 830,555
5 | 830, 555 |
166, 111 |
∴ So the LCM of the given numbers is 5 x 166 x 111 = 92130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/92130
Therefore, the GCF of Fractions 2280/830,3980/555 is 20/92130
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 830,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,555) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(830,555) x common factors =5 x 1 = 5
LCM(830,555) = ( 830 × 555 ) / 5
LCM(830,555) = 460650 / 5
LCM(830,555) = 92130
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 2280/830, 3980/555?
Answer: GCF of Numerators as per given numbers 2280/830, 3980/555 is
GCF of Numerators i.e. for 2280,3980 is 20
LCM of denominators i.e. for 830,555 is 92130.
Thus, GCF of Fractions is 20/92130.Finally, GCF of Fractions for 2280/830, 3980/555 is 20/92130.