Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/90,738/84,546/517
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 772,738,546
Greatest Common Factor of Numerators i.e. GCF of 772,738,546 is 2 .
LCM of Denominators means LCM of 90,84,517 as per the given fractions.
LCM of 90,84,517 is 651420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 772,738,546
2 | 772, 738, 546 |
386, 369, 273 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 772,738,546 . The biggest common factor number is the GCF number.
So the greatest common factor 772,738,546 is 2.
Lets's calculate LCM of 90,84,517
2 | 90, 84, 517 |
3 | 45, 42, 517 |
15, 14, 517 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 14 x 517 = 651420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/651420
Therefore, the GCF of Fractions 772/90,738/84,546/517 is 2/651420
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 90,84,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,84,517) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,84,517) x common factors =1 x 6 = 6
LCM(90,84,517) = ( 90 × 84 × 517 ) / 6
LCM(90,84,517) = 3908520 / 6
LCM(90,84,517) = 651420
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 772/90, 738/84, 546/517?
Answer: GCF of Numerators as per given numbers 772/90, 738/84, 546/517 is
GCF of Numerators i.e. for 772,738,546 is 2
LCM of denominators i.e. for 90,84,517 is 651420.
Thus, GCF of Fractions is 2/651420.Finally, GCF of Fractions for 772/90, 738/84, 546/517 is 2/651420.