Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 102/5620,170/6494
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 102,170
Greatest Common Factor of Numerators i.e. GCF of 102,170 is 34 .
LCM of Denominators means LCM of 5620,6494 as per the given fractions.
LCM of 5620,6494 is 18248140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 102,170
2 | 102, 170 |
17 | 51, 85 |
3, 5 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 102,170 . The biggest common factor number is the GCF number.
So the greatest common factor 102,170 is 34.
Lets's calculate LCM of 5620,6494
2 | 5620, 6494 |
2810, 3247 |
∴ So the LCM of the given numbers is 2 x 2810 x 3247 = 18248140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/18248140
Therefore, the GCF of Fractions 102/5620,170/6494 is 34/18248140
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 5620,6494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5620,6494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5620,6494) x common factors =2 x 1 = 2
LCM(5620,6494) = ( 5620 × 6494 ) / 2
LCM(5620,6494) = 36496280 / 2
LCM(5620,6494) = 18248140
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 102/5620, 170/6494?
Answer: GCF of Numerators as per given numbers 102/5620, 170/6494 is
GCF of Numerators i.e. for 102,170 is 34
LCM of denominators i.e. for 5620,6494 is 18248140.
Thus, GCF of Fractions is 34/18248140.Finally, GCF of Fractions for 102/5620, 170/6494 is 34/18248140.