Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 103/651,164/428,282/449
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 103,164,282
Greatest Common Factor of Numerators i.e. GCF of 103,164,282 is 1 .
LCM of Denominators means LCM of 651,428,449 as per the given fractions.
LCM of 651,428,449 is 125103972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 103,164,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 103,164,282 . The biggest common factor number is the GCF number.
So the greatest common factor 103,164,282 is 1.
Lets's calculate LCM of 651,428,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 125103972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125103972
Therefore, the GCF of Fractions 103/651,164/428,282/449 is 1/125103972
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 651,428,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,428,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,428,449) x common factors =1 x 1 = 1
LCM(651,428,449) = ( 651 × 428 × 449 ) / 1
LCM(651,428,449) = 125103972 / 1
LCM(651,428,449) = 125103972
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 103/651, 164/428, 282/449?
Answer: GCF of Numerators as per given numbers 103/651, 164/428, 282/449 is
GCF of Numerators i.e. for 103,164,282 is 1
LCM of denominators i.e. for 651,428,449 is 125103972.
Thus, GCF of Fractions is 1/125103972.Finally, GCF of Fractions for 103/651, 164/428, 282/449 is 1/125103972.