Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 857/88,822/91,349/380
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 857,822,349
Greatest Common Factor of Numerators i.e. GCF of 857,822,349 is 1 .
LCM of Denominators means LCM of 88,91,380 as per the given fractions.
LCM of 88,91,380 is 760760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 857,822,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
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 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 857,822,349 . The biggest common factor number is the GCF number.
So the greatest common factor 857,822,349 is 1.
Lets's calculate LCM of 88,91,380
2 | 88, 91, 380 |
2 | 44, 91, 190 |
22, 91, 95 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 91 x 95 = 760760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760760
Therefore, the GCF of Fractions 857/88,822/91,349/380 is 1/760760
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 88,91,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,91,380) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(88,91,380) x common factors =1 x 4 = 4
LCM(88,91,380) = ( 88 × 91 × 380 ) / 4
LCM(88,91,380) = 3043040 / 4
LCM(88,91,380) = 760760
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 857/88, 822/91, 349/380?
Answer: GCF of Numerators as per given numbers 857/88, 822/91, 349/380 is
GCF of Numerators i.e. for 857,822,349 is 1
LCM of denominators i.e. for 88,91,380 is 760760.
Thus, GCF of Fractions is 1/760760.Finally, GCF of Fractions for 857/88, 822/91, 349/380 is 1/760760.