Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9251/508,8149/1208
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 9251,8149
Greatest Common Factor of Numerators i.e. GCF of 9251,8149 is 29 .
LCM of Denominators means LCM of 508,1208 as per the given fractions.
LCM of 508,1208 is 153416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9251,8149
29 | 9251, 8149 |
319, 281 |
∴ So the GCF of the given numbers is 29 = 29
Factors of 9251
List of positive integer factors of 9251 that divides 9251 without a remainder.
1,11,29,319,841,9251
Factors of 8149
List of positive integer factors of 8149 that divides 8149 without a remainder.
1,29,281,8149
Greatest Common Factor
We found the factors 9251,8149 . The biggest common factor number is the GCF number.
So the greatest common factor 9251,8149 is 29.
Lets's calculate LCM of 508,1208
2 | 508, 1208 |
2 | 254, 604 |
127, 302 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 302 = 153416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/153416
Therefore, the GCF of Fractions 9251/508,8149/1208 is 29/153416
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 508,1208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,1208) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,1208) x common factors =4 x 1 = 4
LCM(508,1208) = ( 508 × 1208 ) / 4
LCM(508,1208) = 613664 / 4
LCM(508,1208) = 153416
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 9251/508, 8149/1208?
Answer: GCF of Numerators as per given numbers 9251/508, 8149/1208 is
GCF of Numerators i.e. for 9251,8149 is 29
LCM of denominators i.e. for 508,1208 is 153416.
Thus, GCF of Fractions is 29/153416.Finally, GCF of Fractions for 9251/508, 8149/1208 is 29/153416.