Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/17,53/52,62/65,712/63
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 11,53,62,712
Greatest Common Factor of Numerators i.e. GCF of 11,53,62,712 is 1 .
LCM of Denominators means LCM of 17,52,65,63 as per the given fractions.
LCM of 17,52,65,63 is 278460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,53,62,712
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 11,53,62,712 . The biggest common factor number is the GCF number.
So the greatest common factor 11,53,62,712 is 1.
Lets's calculate LCM of 17,52,65,63
13 | 17, 52, 65, 63 |
17, 4, 5, 63 |
∴ So the LCM of the given numbers is 13 x 17 x 4 x 5 x 63 = 278460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278460
Therefore, the GCF of Fractions 11/17,53/52,62/65,712/63 is 1/278460
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 17,52,65,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,52,65,63) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(17,52,65,63) x common factors =1 x 13 = 13
LCM(17,52,65,63) = ( 17 × 52 × 65 × 63 ) / 13
LCM(17,52,65,63) = 3619980 / 13
LCM(17,52,65,63) = 278460
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 11/17, 53/52, 62/65, 712/63?
Answer: GCF of Numerators as per given numbers 11/17, 53/52, 62/65, 712/63 is
GCF of Numerators i.e. for 11,53,62,712 is 1
LCM of denominators i.e. for 17,52,65,63 is 278460.
Thus, GCF of Fractions is 1/278460.Finally, GCF of Fractions for 11/17, 53/52, 62/65, 712/63 is 1/278460.