Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 627/889,376/497,134/427
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 627,376,134
Greatest Common Factor of Numerators i.e. GCF of 627,376,134 is 1 .
LCM of Denominators means LCM of 889,497,427 as per the given fractions.
LCM of 889,497,427 is 3850259 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 627,376,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 627,376,134 . The biggest common factor number is the GCF number.
So the greatest common factor 627,376,134 is 1.
Lets's calculate LCM of 889,497,427
7 | 889, 497, 427 |
127, 71, 61 |
∴ So the LCM of the given numbers is 7 x 127 x 71 x 61 = 3850259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3850259
Therefore, the GCF of Fractions 627/889,376/497,134/427 is 1/3850259
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 889,497,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,497,427) = 7
common factors(in case of two or more numbers have common factors) = 7
GCF(889,497,427) x common factors =7 x 7 = 49
LCM(889,497,427) = ( 889 × 497 × 427 ) / 49
LCM(889,497,427) = 188662691 / 49
LCM(889,497,427) = 3850259
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 627/889, 376/497, 134/427?
Answer: GCF of Numerators as per given numbers 627/889, 376/497, 134/427 is
GCF of Numerators i.e. for 627,376,134 is 1
LCM of denominators i.e. for 889,497,427 is 3850259.
Thus, GCF of Fractions is 1/3850259.Finally, GCF of Fractions for 627/889, 376/497, 134/427 is 1/3850259.