Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/23,33/44,99/67,985/70
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 62,33,99,985
Greatest Common Factor of Numerators i.e. GCF of 62,33,99,985 is 1 .
LCM of Denominators means LCM of 23,44,67,70 as per the given fractions.
LCM of 23,44,67,70 is 2373140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,33,99,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 62,33,99,985 . The biggest common factor number is the GCF number.
So the greatest common factor 62,33,99,985 is 1.
Lets's calculate LCM of 23,44,67,70
2 | 23, 44, 67, 70 |
23, 22, 67, 35 |
∴ So the LCM of the given numbers is 2 x 23 x 22 x 67 x 35 = 2373140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2373140
Therefore, the GCF of Fractions 62/23,33/44,99/67,985/70 is 1/2373140
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 23,44,67,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,44,67,70) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(23,44,67,70) x common factors =1 x 2 = 2
LCM(23,44,67,70) = ( 23 × 44 × 67 × 70 ) / 2
LCM(23,44,67,70) = 4746280 / 2
LCM(23,44,67,70) = 2373140
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 62/23, 33/44, 99/67, 985/70?
Answer: GCF of Numerators as per given numbers 62/23, 33/44, 99/67, 985/70 is
GCF of Numerators i.e. for 62,33,99,985 is 1
LCM of denominators i.e. for 23,44,67,70 is 2373140.
Thus, GCF of Fractions is 1/2373140.Finally, GCF of Fractions for 62/23, 33/44, 99/67, 985/70 is 1/2373140.