Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 428/15,132/70,552/58
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 428,132,552
Greatest Common Factor of Numerators i.e. GCF of 428,132,552 is 4 .
LCM of Denominators means LCM of 15,70,58 as per the given fractions.
LCM of 15,70,58 is 6090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 428,132,552
2 | 428, 132, 552 |
2 | 214, 66, 276 |
107, 33, 138 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 428,132,552 . The biggest common factor number is the GCF number.
So the greatest common factor 428,132,552 is 4.
Lets's calculate LCM of 15,70,58
2 | 15, 70, 58 |
5 | 15, 35, 29 |
3, 7, 29 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 7 x 29 = 6090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6090
Therefore, the GCF of Fractions 428/15,132/70,552/58 is 4/6090
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 15,70,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,70,58) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(15,70,58) x common factors =1 x 10 = 10
LCM(15,70,58) = ( 15 × 70 × 58 ) / 10
LCM(15,70,58) = 60900 / 10
LCM(15,70,58) = 6090
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 428/15, 132/70, 552/58?
Answer: GCF of Numerators as per given numbers 428/15, 132/70, 552/58 is
GCF of Numerators i.e. for 428,132,552 is 4
LCM of denominators i.e. for 15,70,58 is 6090.
Thus, GCF of Fractions is 4/6090.Finally, GCF of Fractions for 428/15, 132/70, 552/58 is 4/6090.