Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 101/942,342/281,505/639
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 101,342,505
Greatest Common Factor of Numerators i.e. GCF of 101,342,505 is 1 .
LCM of Denominators means LCM of 942,281,639 as per the given fractions.
LCM of 942,281,639 is 56381526 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 101,342,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors 101,342,505 . The biggest common factor number is the GCF number.
So the greatest common factor 101,342,505 is 1.
Lets's calculate LCM of 942,281,639
3 | 942, 281, 639 |
314, 281, 213 |
∴ So the LCM of the given numbers is 3 x 314 x 281 x 213 = 56381526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56381526
Therefore, the GCF of Fractions 101/942,342/281,505/639 is 1/56381526
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 942,281,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,281,639) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(942,281,639) x common factors =1 x 3 = 3
LCM(942,281,639) = ( 942 × 281 × 639 ) / 3
LCM(942,281,639) = 169144578 / 3
LCM(942,281,639) = 56381526
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 101/942, 342/281, 505/639?
Answer: GCF of Numerators as per given numbers 101/942, 342/281, 505/639 is
GCF of Numerators i.e. for 101,342,505 is 1
LCM of denominators i.e. for 942,281,639 is 56381526.
Thus, GCF of Fractions is 1/56381526.Finally, GCF of Fractions for 101/942, 342/281, 505/639 is 1/56381526.