Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/88,10/71,36/97,28/177
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 39,10,36,28
Greatest Common Factor of Numerators i.e. GCF of 39,10,36,28 is 1 .
LCM of Denominators means LCM of 88,71,97,177 as per the given fractions.
LCM of 88,71,97,177 is 107271912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,10,36,28
∴ 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 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Greatest Common Factor
We found the factors 39,10,36,28 . The biggest common factor number is the GCF number.
So the greatest common factor 39,10,36,28 is 1.
Lets's calculate LCM of 88,71,97,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 107271912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107271912
Therefore, the GCF of Fractions 39/88,10/71,36/97,28/177 is 1/107271912
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 88,71,97,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,71,97,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,71,97,177) x common factors =1 x 1 = 1
LCM(88,71,97,177) = ( 88 × 71 × 97 × 177 ) / 1
LCM(88,71,97,177) = 107271912 / 1
LCM(88,71,97,177) = 107271912
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 39/88, 10/71, 36/97, 28/177?
Answer: GCF of Numerators as per given numbers 39/88, 10/71, 36/97, 28/177 is
GCF of Numerators i.e. for 39,10,36,28 is 1
LCM of denominators i.e. for 88,71,97,177 is 107271912.
Thus, GCF of Fractions is 1/107271912.Finally, GCF of Fractions for 39/88, 10/71, 36/97, 28/177 is 1/107271912.