Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9246/743,2952/624
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 9246,2952
Greatest Common Factor of Numerators i.e. GCF of 9246,2952 is 6 .
LCM of Denominators means LCM of 743,624 as per the given fractions.
LCM of 743,624 is 463632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9246,2952
2 | 9246, 2952 |
3 | 4623, 1476 |
1541, 492 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 9246
List of positive integer factors of 9246 that divides 9246 without a remainder.
1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Factors of 2952
List of positive integer factors of 2952 that divides 2952 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952
Greatest Common Factor
We found the factors 9246,2952 . The biggest common factor number is the GCF number.
So the greatest common factor 9246,2952 is 6.
Lets's calculate LCM of 743,624
Given numbers has no common factors except 1. So, there LCM is their product i.e 463632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/463632
Therefore, the GCF of Fractions 9246/743,2952/624 is 6/463632
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 743,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,624) x common factors =1 x 1 = 1
LCM(743,624) = ( 743 × 624 ) / 1
LCM(743,624) = 463632 / 1
LCM(743,624) = 463632
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 9246/743, 2952/624?
Answer: GCF of Numerators as per given numbers 9246/743, 2952/624 is
GCF of Numerators i.e. for 9246,2952 is 6
LCM of denominators i.e. for 743,624 is 463632.
Thus, GCF of Fractions is 6/463632.Finally, GCF of Fractions for 9246/743, 2952/624 is 6/463632.