Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9282/277,5626/472
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 9282,5626
Greatest Common Factor of Numerators i.e. GCF of 9282,5626 is 2 .
LCM of Denominators means LCM of 277,472 as per the given fractions.
LCM of 277,472 is 130744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9282,5626
2 | 9282, 5626 |
4641, 2813 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9282
List of positive integer factors of 9282 that divides 9282 without a remainder.
1,2,3,6,7,13,14,17,21,26,34,39,42,51,78,91,102,119,182,221,238,273,357,442,546,663,714,1326,1547,3094,4641,9282
Factors of 5626
List of positive integer factors of 5626 that divides 5626 without a remainder.
1,2,29,58,97,194,2813,5626
Greatest Common Factor
We found the factors 9282,5626 . The biggest common factor number is the GCF number.
So the greatest common factor 9282,5626 is 2.
Lets's calculate LCM of 277,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 130744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130744
Therefore, the GCF of Fractions 9282/277,5626/472 is 2/130744
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 277,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,472) x common factors =1 x 1 = 1
LCM(277,472) = ( 277 × 472 ) / 1
LCM(277,472) = 130744 / 1
LCM(277,472) = 130744
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 9282/277, 5626/472?
Answer: GCF of Numerators as per given numbers 9282/277, 5626/472 is
GCF of Numerators i.e. for 9282,5626 is 2
LCM of denominators i.e. for 277,472 is 130744.
Thus, GCF of Fractions is 2/130744.Finally, GCF of Fractions for 9282/277, 5626/472 is 2/130744.