Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9850/72,3369/101
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 9850,3369
Greatest Common Factor of Numerators i.e. GCF of 9850,3369 is 1 .
LCM of Denominators means LCM of 72,101 as per the given fractions.
LCM of 72,101 is 7272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9850,3369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9850
List of positive integer factors of 9850 that divides 9850 without a remainder.
1,2,5,10,25,50,197,394,985,1970,4925,9850
Factors of 3369
List of positive integer factors of 3369 that divides 3369 without a remainder.
1,3,1123,3369
Greatest Common Factor
We found the factors 9850,3369 . The biggest common factor number is the GCF number.
So the greatest common factor 9850,3369 is 1.
Lets's calculate LCM of 72,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 7272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7272
Therefore, the GCF of Fractions 9850/72,3369/101 is 1/7272
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 72,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,101) x common factors =1 x 1 = 1
LCM(72,101) = ( 72 × 101 ) / 1
LCM(72,101) = 7272 / 1
LCM(72,101) = 7272
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 9850/72, 3369/101?
Answer: GCF of Numerators as per given numbers 9850/72, 3369/101 is
GCF of Numerators i.e. for 9850,3369 is 1
LCM of denominators i.e. for 72,101 is 7272.
Thus, GCF of Fractions is 1/7272.Finally, GCF of Fractions for 9850/72, 3369/101 is 1/7272.