Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3574/652,1232/356
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 3574,1232
Greatest Common Factor of Numerators i.e. GCF of 3574,1232 is 2 .
LCM of Denominators means LCM of 652,356 as per the given fractions.
LCM of 652,356 is 58028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3574,1232
2 | 3574, 1232 |
1787, 616 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3574
List of positive integer factors of 3574 that divides 3574 without a remainder.
1,2,1787,3574
Factors of 1232
List of positive integer factors of 1232 that divides 1232 without a remainder.
1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232
Greatest Common Factor
We found the factors 3574,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 3574,1232 is 2.
Lets's calculate LCM of 652,356
2 | 652, 356 |
2 | 326, 178 |
163, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 89 = 58028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58028
Therefore, the GCF of Fractions 3574/652,1232/356 is 2/58028
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 652,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,356) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,356) x common factors =4 x 1 = 4
LCM(652,356) = ( 652 × 356 ) / 4
LCM(652,356) = 232112 / 4
LCM(652,356) = 58028
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 3574/652, 1232/356?
Answer: GCF of Numerators as per given numbers 3574/652, 1232/356 is
GCF of Numerators i.e. for 3574,1232 is 2
LCM of denominators i.e. for 652,356 is 58028.
Thus, GCF of Fractions is 2/58028.Finally, GCF of Fractions for 3574/652, 1232/356 is 2/58028.