Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3920/262,8608/7018
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 3920,8608
Greatest Common Factor of Numerators i.e. GCF of 3920,8608 is 16 .
LCM of Denominators means LCM of 262,7018 as per the given fractions.
LCM of 262,7018 is 919358 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3920,8608
2 | 3920, 8608 |
2 | 1960, 4304 |
2 | 980, 2152 |
2 | 490, 1076 |
245, 538 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 3920
List of positive integer factors of 3920 that divides 3920 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920
Factors of 8608
List of positive integer factors of 8608 that divides 8608 without a remainder.
1,2,4,8,16,32,269,538,1076,2152,4304,8608
Greatest Common Factor
We found the factors 3920,8608 . The biggest common factor number is the GCF number.
So the greatest common factor 3920,8608 is 16.
Lets's calculate LCM of 262,7018
2 | 262, 7018 |
131, 3509 |
∴ So the LCM of the given numbers is 2 x 131 x 3509 = 919358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/919358
Therefore, the GCF of Fractions 3920/262,8608/7018 is 16/919358
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 262,7018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,7018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,7018) x common factors =2 x 1 = 2
LCM(262,7018) = ( 262 × 7018 ) / 2
LCM(262,7018) = 1838716 / 2
LCM(262,7018) = 919358
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 3920/262, 8608/7018?
Answer: GCF of Numerators as per given numbers 3920/262, 8608/7018 is
GCF of Numerators i.e. for 3920,8608 is 16
LCM of denominators i.e. for 262,7018 is 919358.
Thus, GCF of Fractions is 16/919358.Finally, GCF of Fractions for 3920/262, 8608/7018 is 16/919358.