Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/71,11/160,780/257
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 40,11,780
Greatest Common Factor of Numerators i.e. GCF of 40,11,780 is 1 .
LCM of Denominators means LCM of 71,160,257 as per the given fractions.
LCM of 71,160,257 is 2919520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,11,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 40,11,780 . The biggest common factor number is the GCF number.
So the greatest common factor 40,11,780 is 1.
Lets's calculate LCM of 71,160,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 2919520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2919520
Therefore, the GCF of Fractions 40/71,11/160,780/257 is 1/2919520
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 71,160,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,160,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,160,257) x common factors =1 x 1 = 1
LCM(71,160,257) = ( 71 × 160 × 257 ) / 1
LCM(71,160,257) = 2919520 / 1
LCM(71,160,257) = 2919520
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 40/71, 11/160, 780/257?
Answer: GCF of Numerators as per given numbers 40/71, 11/160, 780/257 is
GCF of Numerators i.e. for 40,11,780 is 1
LCM of denominators i.e. for 71,160,257 is 2919520.
Thus, GCF of Fractions is 1/2919520.Finally, GCF of Fractions for 40/71, 11/160, 780/257 is 1/2919520.