Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 152/963,552/503,617/415
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 152,552,617
Greatest Common Factor of Numerators i.e. GCF of 152,552,617 is 1 .
LCM of Denominators means LCM of 963,503,415 as per the given fractions.
LCM of 963,503,415 is 201021435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 152,552,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 152,552,617 . The biggest common factor number is the GCF number.
So the greatest common factor 152,552,617 is 1.
Lets's calculate LCM of 963,503,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 201021435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201021435
Therefore, the GCF of Fractions 152/963,552/503,617/415 is 1/201021435
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 963,503,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,503,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(963,503,415) x common factors =1 x 1 = 1
LCM(963,503,415) = ( 963 × 503 × 415 ) / 1
LCM(963,503,415) = 201021435 / 1
LCM(963,503,415) = 201021435
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 152/963, 552/503, 617/415?
Answer: GCF of Numerators as per given numbers 152/963, 552/503, 617/415 is
GCF of Numerators i.e. for 152,552,617 is 1
LCM of denominators i.e. for 963,503,415 is 201021435.
Thus, GCF of Fractions is 1/201021435.Finally, GCF of Fractions for 152/963, 552/503, 617/415 is 1/201021435.