Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 584/639,6132/276
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 584,6132
Greatest Common Factor of Numerators i.e. GCF of 584,6132 is 292 .
LCM of Denominators means LCM of 639,276 as per the given fractions.
LCM of 639,276 is 58788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 584,6132
2 | 584, 6132 |
2 | 292, 3066 |
73 | 146, 1533 |
2, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 73 = 292
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Factors of 6132
List of positive integer factors of 6132 that divides 6132 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Greatest Common Factor
We found the factors 584,6132 . The biggest common factor number is the GCF number.
So the greatest common factor 584,6132 is 292.
Lets's calculate LCM of 639,276
3 | 639, 276 |
213, 92 |
∴ So the LCM of the given numbers is 3 x 213 x 92 = 58788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 292/58788
Therefore, the GCF of Fractions 584/639,6132/276 is 292/58788
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 639,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,276) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(639,276) x common factors =3 x 1 = 3
LCM(639,276) = ( 639 × 276 ) / 3
LCM(639,276) = 176364 / 3
LCM(639,276) = 58788
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 584/639, 6132/276?
Answer: GCF of Numerators as per given numbers 584/639, 6132/276 is
GCF of Numerators i.e. for 584,6132 is 292
LCM of denominators i.e. for 639,276 is 58788.
Thus, GCF of Fractions is 292/58788.Finally, GCF of Fractions for 584/639, 6132/276 is 292/58788.