Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 822/194,777/502,565/750
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 822,777,565
Greatest Common Factor of Numerators i.e. GCF of 822,777,565 is 1 .
LCM of Denominators means LCM of 194,502,750 as per the given fractions.
LCM of 194,502,750 is 18260250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 822,777,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 822,777,565 . The biggest common factor number is the GCF number.
So the greatest common factor 822,777,565 is 1.
Lets's calculate LCM of 194,502,750
2 | 194, 502, 750 |
97, 251, 375 |
∴ So the LCM of the given numbers is 2 x 97 x 251 x 375 = 18260250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18260250
Therefore, the GCF of Fractions 822/194,777/502,565/750 is 1/18260250
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 194,502,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,502,750) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(194,502,750) x common factors =2 x 2 = 4
LCM(194,502,750) = ( 194 × 502 × 750 ) / 4
LCM(194,502,750) = 73041000 / 4
LCM(194,502,750) = 18260250
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 822/194, 777/502, 565/750?
Answer: GCF of Numerators as per given numbers 822/194, 777/502, 565/750 is
GCF of Numerators i.e. for 822,777,565 is 1
LCM of denominators i.e. for 194,502,750 is 18260250.
Thus, GCF of Fractions is 1/18260250.Finally, GCF of Fractions for 822/194, 777/502, 565/750 is 1/18260250.