Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7426/176,5416/223
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 7426,5416
Greatest Common Factor of Numerators i.e. GCF of 7426,5416 is 2 .
LCM of Denominators means LCM of 176,223 as per the given fractions.
LCM of 176,223 is 39248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7426,5416
2 | 7426, 5416 |
3713, 2708 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7426
List of positive integer factors of 7426 that divides 7426 without a remainder.
1,2,47,79,94,158,3713,7426
Factors of 5416
List of positive integer factors of 5416 that divides 5416 without a remainder.
1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors 7426,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 7426,5416 is 2.
Lets's calculate LCM of 176,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 39248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39248
Therefore, the GCF of Fractions 7426/176,5416/223 is 2/39248
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 176,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,223) x common factors =1 x 1 = 1
LCM(176,223) = ( 176 × 223 ) / 1
LCM(176,223) = 39248 / 1
LCM(176,223) = 39248
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 7426/176, 5416/223?
Answer: GCF of Numerators as per given numbers 7426/176, 5416/223 is
GCF of Numerators i.e. for 7426,5416 is 2
LCM of denominators i.e. for 176,223 is 39248.
Thus, GCF of Fractions is 2/39248.Finally, GCF of Fractions for 7426/176, 5416/223 is 2/39248.