Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 957/518,535/737,402/254
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 957,535,402
Greatest Common Factor of Numerators i.e. GCF of 957,535,402 is 1 .
LCM of Denominators means LCM of 518,737,254 as per the given fractions.
LCM of 518,737,254 is 48484282 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 957,535,402
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 957,535,402 . The biggest common factor number is the GCF number.
So the greatest common factor 957,535,402 is 1.
Lets's calculate LCM of 518,737,254
2 | 518, 737, 254 |
259, 737, 127 |
∴ So the LCM of the given numbers is 2 x 259 x 737 x 127 = 48484282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48484282
Therefore, the GCF of Fractions 957/518,535/737,402/254 is 1/48484282
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 518,737,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,737,254) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(518,737,254) x common factors =1 x 2 = 2
LCM(518,737,254) = ( 518 × 737 × 254 ) / 2
LCM(518,737,254) = 96968564 / 2
LCM(518,737,254) = 48484282
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 957/518, 535/737, 402/254?
Answer: GCF of Numerators as per given numbers 957/518, 535/737, 402/254 is
GCF of Numerators i.e. for 957,535,402 is 1
LCM of denominators i.e. for 518,737,254 is 48484282.
Thus, GCF of Fractions is 1/48484282.Finally, GCF of Fractions for 957/518, 535/737, 402/254 is 1/48484282.