Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1139/95,5616/629
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 1139,5616
Greatest Common Factor of Numerators i.e. GCF of 1139,5616 is 1 .
LCM of Denominators means LCM of 95,629 as per the given fractions.
LCM of 95,629 is 59755 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1139,5616
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1139
List of positive integer factors of 1139 that divides 1139 without a remainder.
1,17,67,1139
Factors of 5616
List of positive integer factors of 5616 that divides 5616 without a remainder.
1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616
Greatest Common Factor
We found the factors 1139,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 1139,5616 is 1.
Lets's calculate LCM of 95,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 59755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59755
Therefore, the GCF of Fractions 1139/95,5616/629 is 1/59755
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 95,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,629) x common factors =1 x 1 = 1
LCM(95,629) = ( 95 × 629 ) / 1
LCM(95,629) = 59755 / 1
LCM(95,629) = 59755
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 1139/95, 5616/629?
Answer: GCF of Numerators as per given numbers 1139/95, 5616/629 is
GCF of Numerators i.e. for 1139,5616 is 1
LCM of denominators i.e. for 95,629 is 59755.
Thus, GCF of Fractions is 1/59755.Finally, GCF of Fractions for 1139/95, 5616/629 is 1/59755.