Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/807,861/202,397/156
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 47,861,397
Greatest Common Factor of Numerators i.e. GCF of 47,861,397 is 1 .
LCM of Denominators means LCM of 807,202,156 as per the given fractions.
LCM of 807,202,156 is 4238364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,861,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Greatest Common Factor
We found the factors 47,861,397 . The biggest common factor number is the GCF number.
So the greatest common factor 47,861,397 is 1.
Lets's calculate LCM of 807,202,156
2 | 807, 202, 156 |
3 | 807, 101, 78 |
269, 101, 26 |
∴ So the LCM of the given numbers is 2 x 3 x 269 x 101 x 26 = 4238364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4238364
Therefore, the GCF of Fractions 47/807,861/202,397/156 is 1/4238364
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 807,202,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,202,156) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(807,202,156) x common factors =1 x 6 = 6
LCM(807,202,156) = ( 807 × 202 × 156 ) / 6
LCM(807,202,156) = 25430184 / 6
LCM(807,202,156) = 4238364
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 47/807, 861/202, 397/156?
Answer: GCF of Numerators as per given numbers 47/807, 861/202, 397/156 is
GCF of Numerators i.e. for 47,861,397 is 1
LCM of denominators i.e. for 807,202,156 is 4238364.
Thus, GCF of Fractions is 1/4238364.Finally, GCF of Fractions for 47/807, 861/202, 397/156 is 1/4238364.