Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1220/434,3358/587
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 1220,3358
Greatest Common Factor of Numerators i.e. GCF of 1220,3358 is 2 .
LCM of Denominators means LCM of 434,587 as per the given fractions.
LCM of 434,587 is 254758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1220,3358
2 | 1220, 3358 |
610, 1679 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1220
List of positive integer factors of 1220 that divides 1220 without a remainder.
1,2,4,5,10,20,61,122,244,305,610,1220
Factors of 3358
List of positive integer factors of 3358 that divides 3358 without a remainder.
1,2,23,46,73,146,1679,3358
Greatest Common Factor
We found the factors 1220,3358 . The biggest common factor number is the GCF number.
So the greatest common factor 1220,3358 is 2.
Lets's calculate LCM of 434,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 254758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/254758
Therefore, the GCF of Fractions 1220/434,3358/587 is 2/254758
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 434,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,587) x common factors =1 x 1 = 1
LCM(434,587) = ( 434 × 587 ) / 1
LCM(434,587) = 254758 / 1
LCM(434,587) = 254758
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 1220/434, 3358/587?
Answer: GCF of Numerators as per given numbers 1220/434, 3358/587 is
GCF of Numerators i.e. for 1220,3358 is 2
LCM of denominators i.e. for 434,587 is 254758.
Thus, GCF of Fractions is 2/254758.Finally, GCF of Fractions for 1220/434, 3358/587 is 2/254758.