Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 573/562,883/804,280/674
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 573,883,280
Greatest Common Factor of Numerators i.e. GCF of 573,883,280 is 1 .
LCM of Denominators means LCM of 562,804,674 as per the given fractions.
LCM of 562,804,674 is 76136388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 573,883,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 573,883,280 . The biggest common factor number is the GCF number.
So the greatest common factor 573,883,280 is 1.
Lets's calculate LCM of 562,804,674
2 | 562, 804, 674 |
281, 402, 337 |
∴ So the LCM of the given numbers is 2 x 281 x 402 x 337 = 76136388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76136388
Therefore, the GCF of Fractions 573/562,883/804,280/674 is 1/76136388
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 562,804,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,804,674) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(562,804,674) x common factors =2 x 2 = 4
LCM(562,804,674) = ( 562 × 804 × 674 ) / 4
LCM(562,804,674) = 304545552 / 4
LCM(562,804,674) = 76136388
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 573/562, 883/804, 280/674?
Answer: GCF of Numerators as per given numbers 573/562, 883/804, 280/674 is
GCF of Numerators i.e. for 573,883,280 is 1
LCM of denominators i.e. for 562,804,674 is 76136388.
Thus, GCF of Fractions is 1/76136388.Finally, GCF of Fractions for 573/562, 883/804, 280/674 is 1/76136388.