Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 706/87,148/219
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 706,148
Greatest Common Factor of Numerators i.e. GCF of 706,148 is 2 .
LCM of Denominators means LCM of 87,219 as per the given fractions.
LCM of 87,219 is 6351 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 706,148
2 | 706, 148 |
353, 74 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 706,148 . The biggest common factor number is the GCF number.
So the greatest common factor 706,148 is 2.
Lets's calculate LCM of 87,219
3 | 87, 219 |
29, 73 |
∴ So the LCM of the given numbers is 3 x 29 x 73 = 6351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6351
Therefore, the GCF of Fractions 706/87,148/219 is 2/6351
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 87,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,219) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,219) x common factors =3 x 1 = 3
LCM(87,219) = ( 87 × 219 ) / 3
LCM(87,219) = 19053 / 3
LCM(87,219) = 6351
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 706/87, 148/219?
Answer: GCF of Numerators as per given numbers 706/87, 148/219 is
GCF of Numerators i.e. for 706,148 is 2
LCM of denominators i.e. for 87,219 is 6351.
Thus, GCF of Fractions is 2/6351.Finally, GCF of Fractions for 706/87, 148/219 is 2/6351.