Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 947/560,505/567,304/928
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 947,505,304
Greatest Common Factor of Numerators i.e. GCF of 947,505,304 is 1 .
LCM of Denominators means LCM of 560,567,928 as per the given fractions.
LCM of 560,567,928 is 2630880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 947,505,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 947,505,304 . The biggest common factor number is the GCF number.
So the greatest common factor 947,505,304 is 1.
Lets's calculate LCM of 560,567,928
2 | 560, 567, 928 |
2 | 280, 567, 464 |
2 | 140, 567, 232 |
2 | 70, 567, 116 |
7 | 35, 567, 58 |
5, 81, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 5 x 81 x 58 = 2630880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2630880
Therefore, the GCF of Fractions 947/560,505/567,304/928 is 1/2630880
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 560,567,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,567,928) = 1
common factors(in case of two or more numbers have common factors) = 112
GCF(560,567,928) x common factors =1 x 112 = 112
LCM(560,567,928) = ( 560 × 567 × 928 ) / 112
LCM(560,567,928) = 294658560 / 112
LCM(560,567,928) = 2630880
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 947/560, 505/567, 304/928?
Answer: GCF of Numerators as per given numbers 947/560, 505/567, 304/928 is
GCF of Numerators i.e. for 947,505,304 is 1
LCM of denominators i.e. for 560,567,928 is 2630880.
Thus, GCF of Fractions is 1/2630880.Finally, GCF of Fractions for 947/560, 505/567, 304/928 is 1/2630880.