Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8262/430,4926/8544
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 8262,4926
Greatest Common Factor of Numerators i.e. GCF of 8262,4926 is 6 .
LCM of Denominators means LCM of 430,8544 as per the given fractions.
LCM of 430,8544 is 1836960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8262,4926
2 | 8262, 4926 |
3 | 4131, 2463 |
1377, 821 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 8262
List of positive integer factors of 8262 that divides 8262 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Factors of 4926
List of positive integer factors of 4926 that divides 4926 without a remainder.
1,2,3,6,821,1642,2463,4926
Greatest Common Factor
We found the factors 8262,4926 . The biggest common factor number is the GCF number.
So the greatest common factor 8262,4926 is 6.
Lets's calculate LCM of 430,8544
2 | 430, 8544 |
215, 4272 |
∴ So the LCM of the given numbers is 2 x 215 x 4272 = 1836960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1836960
Therefore, the GCF of Fractions 8262/430,4926/8544 is 6/1836960
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 430,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,8544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,8544) x common factors =2 x 1 = 2
LCM(430,8544) = ( 430 × 8544 ) / 2
LCM(430,8544) = 3673920 / 2
LCM(430,8544) = 1836960
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 8262/430, 4926/8544?
Answer: GCF of Numerators as per given numbers 8262/430, 4926/8544 is
GCF of Numerators i.e. for 8262,4926 is 6
LCM of denominators i.e. for 430,8544 is 1836960.
Thus, GCF of Fractions is 6/1836960.Finally, GCF of Fractions for 8262/430, 4926/8544 is 6/1836960.