Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 197/826,780/557,803/280
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 197,780,803
Greatest Common Factor of Numerators i.e. GCF of 197,780,803 is 1 .
LCM of Denominators means LCM of 826,557,280 as per the given fractions.
LCM of 826,557,280 is 9201640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 197,780,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 197,780,803 . The biggest common factor number is the GCF number.
So the greatest common factor 197,780,803 is 1.
Lets's calculate LCM of 826,557,280
2 | 826, 557, 280 |
7 | 413, 557, 140 |
59, 557, 20 |
∴ So the LCM of the given numbers is 2 x 7 x 59 x 557 x 20 = 9201640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9201640
Therefore, the GCF of Fractions 197/826,780/557,803/280 is 1/9201640
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 826,557,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,557,280) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(826,557,280) x common factors =1 x 14 = 14
LCM(826,557,280) = ( 826 × 557 × 280 ) / 14
LCM(826,557,280) = 128822960 / 14
LCM(826,557,280) = 9201640
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 197/826, 780/557, 803/280?
Answer: GCF of Numerators as per given numbers 197/826, 780/557, 803/280 is
GCF of Numerators i.e. for 197,780,803 is 1
LCM of denominators i.e. for 826,557,280 is 9201640.
Thus, GCF of Fractions is 1/9201640.Finally, GCF of Fractions for 197/826, 780/557, 803/280 is 1/9201640.