Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 987/62,931/34,943/801
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 987,931,943
Greatest Common Factor of Numerators i.e. GCF of 987,931,943 is 1 .
LCM of Denominators means LCM of 62,34,801 as per the given fractions.
LCM of 62,34,801 is 844254 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 987,931,943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Greatest Common Factor
We found the factors 987,931,943 . The biggest common factor number is the GCF number.
So the greatest common factor 987,931,943 is 1.
Lets's calculate LCM of 62,34,801
2 | 62, 34, 801 |
31, 17, 801 |
∴ So the LCM of the given numbers is 2 x 31 x 17 x 801 = 844254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/844254
Therefore, the GCF of Fractions 987/62,931/34,943/801 is 1/844254
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 62,34,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,34,801) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,34,801) x common factors =1 x 2 = 2
LCM(62,34,801) = ( 62 × 34 × 801 ) / 2
LCM(62,34,801) = 1688508 / 2
LCM(62,34,801) = 844254
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 987/62, 931/34, 943/801?
Answer: GCF of Numerators as per given numbers 987/62, 931/34, 943/801 is
GCF of Numerators i.e. for 987,931,943 is 1
LCM of denominators i.e. for 62,34,801 is 844254.
Thus, GCF of Fractions is 1/844254.Finally, GCF of Fractions for 987/62, 931/34, 943/801 is 1/844254.