Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/796,698/634,124/863
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 63,698,124
Greatest Common Factor of Numerators i.e. GCF of 63,698,124 is 1 .
LCM of Denominators means LCM of 796,634,863 as per the given fractions.
LCM of 796,634,863 is 217762516 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,698,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 63,698,124 . The biggest common factor number is the GCF number.
So the greatest common factor 63,698,124 is 1.
Lets's calculate LCM of 796,634,863
2 | 796, 634, 863 |
398, 317, 863 |
∴ So the LCM of the given numbers is 2 x 398 x 317 x 863 = 217762516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217762516
Therefore, the GCF of Fractions 63/796,698/634,124/863 is 1/217762516
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 796,634,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,634,863) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(796,634,863) x common factors =1 x 2 = 2
LCM(796,634,863) = ( 796 × 634 × 863 ) / 2
LCM(796,634,863) = 435525032 / 2
LCM(796,634,863) = 217762516
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 63/796, 698/634, 124/863?
Answer: GCF of Numerators as per given numbers 63/796, 698/634, 124/863 is
GCF of Numerators i.e. for 63,698,124 is 1
LCM of denominators i.e. for 796,634,863 is 217762516.
Thus, GCF of Fractions is 1/217762516.Finally, GCF of Fractions for 63/796, 698/634, 124/863 is 1/217762516.