Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 390/869,982/386,175/474
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 390,982,175
Greatest Common Factor of Numerators i.e. GCF of 390,982,175 is 1 .
LCM of Denominators means LCM of 869,386,474 as per the given fractions.
LCM of 869,386,474 is 1006302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 390,982,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 390,982,175 . The biggest common factor number is the GCF number.
So the greatest common factor 390,982,175 is 1.
Lets's calculate LCM of 869,386,474
2 | 869, 386, 474 |
79 | 869, 193, 237 |
11, 193, 3 |
∴ So the LCM of the given numbers is 2 x 79 x 11 x 193 x 3 = 1006302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1006302
Therefore, the GCF of Fractions 390/869,982/386,175/474 is 1/1006302
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 869,386,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,386,474) = 1
common factors(in case of two or more numbers have common factors) = 158
GCF(869,386,474) x common factors =1 x 158 = 158
LCM(869,386,474) = ( 869 × 386 × 474 ) / 158
LCM(869,386,474) = 158995716 / 158
LCM(869,386,474) = 1006302
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 390/869, 982/386, 175/474?
Answer: GCF of Numerators as per given numbers 390/869, 982/386, 175/474 is
GCF of Numerators i.e. for 390,982,175 is 1
LCM of denominators i.e. for 869,386,474 is 1006302.
Thus, GCF of Fractions is 1/1006302.Finally, GCF of Fractions for 390/869, 982/386, 175/474 is 1/1006302.