Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 140/946,581/297
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 140,581
Greatest Common Factor of Numerators i.e. GCF of 140,581 is 7 .
LCM of Denominators means LCM of 946,297 as per the given fractions.
LCM of 946,297 is 25542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 140,581
7 | 140, 581 |
20, 83 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 140,581 . The biggest common factor number is the GCF number.
So the greatest common factor 140,581 is 7.
Lets's calculate LCM of 946,297
11 | 946, 297 |
86, 27 |
∴ So the LCM of the given numbers is 11 x 86 x 27 = 25542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/25542
Therefore, the GCF of Fractions 140/946,581/297 is 7/25542
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 946,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,297) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(946,297) x common factors =11 x 1 = 11
LCM(946,297) = ( 946 × 297 ) / 11
LCM(946,297) = 280962 / 11
LCM(946,297) = 25542
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 140/946, 581/297?
Answer: GCF of Numerators as per given numbers 140/946, 581/297 is
GCF of Numerators i.e. for 140,581 is 7
LCM of denominators i.e. for 946,297 is 25542.
Thus, GCF of Fractions is 7/25542.Finally, GCF of Fractions for 140/946, 581/297 is 7/25542.