Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/48,59/48,72/10,62/504
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 39,59,72,62
Greatest Common Factor of Numerators i.e. GCF of 39,59,72,62 is 1 .
LCM of Denominators means LCM of 48,48,10,504 as per the given fractions.
LCM of 48,48,10,504 is 5040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,59,72,62
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Greatest Common Factor
We found the factors 39,59,72,62 . The biggest common factor number is the GCF number.
So the greatest common factor 39,59,72,62 is 1.
Lets's calculate LCM of 48,48,10,504
2 | 48, 48, 10, 504 |
2 | 24, 24, 5, 252 |
2 | 12, 12, 5, 126 |
2 | 6, 6, 5, 63 |
3 | 3, 3, 5, 63 |
1, 1, 5, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 1 x 5 x 21 = 5040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5040
Therefore, the GCF of Fractions 39/48,59/48,72/10,62/504 is 1/5040
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 48,48,10,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,48,10,504) = 2
common factors(in case of two or more numbers have common factors) = 1152
GCF(48,48,10,504) x common factors =2 x 1152 = 2304
LCM(48,48,10,504) = ( 48 × 48 × 10 × 504 ) / 2304
LCM(48,48,10,504) = 11612160 / 2304
LCM(48,48,10,504) = 5040
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 39/48, 59/48, 72/10, 62/504?
Answer: GCF of Numerators as per given numbers 39/48, 59/48, 72/10, 62/504 is
GCF of Numerators i.e. for 39,59,72,62 is 1
LCM of denominators i.e. for 48,48,10,504 is 5040.
Thus, GCF of Fractions is 1/5040.Finally, GCF of Fractions for 39/48, 59/48, 72/10, 62/504 is 1/5040.