Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/934,410/370
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 82,410
Greatest Common Factor of Numerators i.e. GCF of 82,410 is 82 .
LCM of Denominators means LCM of 934,370 as per the given fractions.
LCM of 934,370 is 172790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,410
2 | 82, 410 |
41 | 41, 205 |
1, 5 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 82,410 . The biggest common factor number is the GCF number.
So the greatest common factor 82,410 is 82.
Lets's calculate LCM of 934,370
2 | 934, 370 |
467, 185 |
∴ So the LCM of the given numbers is 2 x 467 x 185 = 172790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/172790
Therefore, the GCF of Fractions 82/934,410/370 is 82/172790
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 934,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,370) x common factors =2 x 1 = 2
LCM(934,370) = ( 934 × 370 ) / 2
LCM(934,370) = 345580 / 2
LCM(934,370) = 172790
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 82/934, 410/370?
Answer: GCF of Numerators as per given numbers 82/934, 410/370 is
GCF of Numerators i.e. for 82,410 is 82
LCM of denominators i.e. for 934,370 is 172790.
Thus, GCF of Fractions is 82/172790.Finally, GCF of Fractions for 82/934, 410/370 is 82/172790.