Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/71,78/13,765/271
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 63,78,765
Greatest Common Factor of Numerators i.e. GCF of 63,78,765 is 3 .
LCM of Denominators means LCM of 71,13,271 as per the given fractions.
LCM of 71,13,271 is 250133 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,78,765
3 | 63, 78, 765 |
21, 26, 255 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 63,78,765 . The biggest common factor number is the GCF number.
So the greatest common factor 63,78,765 is 3.
Lets's calculate LCM of 71,13,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 250133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/250133
Therefore, the GCF of Fractions 63/71,78/13,765/271 is 3/250133
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 71,13,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,13,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,13,271) x common factors =1 x 1 = 1
LCM(71,13,271) = ( 71 × 13 × 271 ) / 1
LCM(71,13,271) = 250133 / 1
LCM(71,13,271) = 250133
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 63/71, 78/13, 765/271?
Answer: GCF of Numerators as per given numbers 63/71, 78/13, 765/271 is
GCF of Numerators i.e. for 63,78,765 is 3
LCM of denominators i.e. for 71,13,271 is 250133.
Thus, GCF of Fractions is 3/250133.Finally, GCF of Fractions for 63/71, 78/13, 765/271 is 3/250133.