Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 620/15,964/38,594/261
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 620,964,594
Greatest Common Factor of Numerators i.e. GCF of 620,964,594 is 2 .
LCM of Denominators means LCM of 15,38,261 as per the given fractions.
LCM of 15,38,261 is 49590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 620,964,594
2 | 620, 964, 594 |
310, 482, 297 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
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
Greatest Common Factor
We found the factors 620,964,594 . The biggest common factor number is the GCF number.
So the greatest common factor 620,964,594 is 2.
Lets's calculate LCM of 15,38,261
3 | 15, 38, 261 |
5, 38, 87 |
∴ So the LCM of the given numbers is 3 x 5 x 38 x 87 = 49590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49590
Therefore, the GCF of Fractions 620/15,964/38,594/261 is 2/49590
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 15,38,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,38,261) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,38,261) x common factors =1 x 3 = 3
LCM(15,38,261) = ( 15 × 38 × 261 ) / 3
LCM(15,38,261) = 148770 / 3
LCM(15,38,261) = 49590
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 620/15, 964/38, 594/261?
Answer: GCF of Numerators as per given numbers 620/15, 964/38, 594/261 is
GCF of Numerators i.e. for 620,964,594 is 2
LCM of denominators i.e. for 15,38,261 is 49590.
Thus, GCF of Fractions is 2/49590.Finally, GCF of Fractions for 620/15, 964/38, 594/261 is 2/49590.