Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 876/46,292/8267
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 876,292
Greatest Common Factor of Numerators i.e. GCF of 876,292 is 292 .
LCM of Denominators means LCM of 46,8267 as per the given fractions.
LCM of 46,8267 is 380282 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 876,292
2 | 876, 292 |
2 | 438, 146 |
73 | 219, 73 |
3, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 73 = 292
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 876,292 . The biggest common factor number is the GCF number.
So the greatest common factor 876,292 is 292.
Lets's calculate LCM of 46,8267
Given numbers has no common factors except 1. So, there LCM is their product i.e 380282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 292/380282
Therefore, the GCF of Fractions 876/46,292/8267 is 292/380282
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 46,8267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,8267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,8267) x common factors =1 x 1 = 1
LCM(46,8267) = ( 46 × 8267 ) / 1
LCM(46,8267) = 380282 / 1
LCM(46,8267) = 380282
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 876/46, 292/8267?
Answer: GCF of Numerators as per given numbers 876/46, 292/8267 is
GCF of Numerators i.e. for 876,292 is 292
LCM of denominators i.e. for 46,8267 is 380282.
Thus, GCF of Fractions is 292/380282.Finally, GCF of Fractions for 876/46, 292/8267 is 292/380282.