Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 175/734,4856/224
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 175,4856
Greatest Common Factor of Numerators i.e. GCF of 175,4856 is 1 .
LCM of Denominators means LCM of 734,224 as per the given fractions.
LCM of 734,224 is 82208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 175,4856
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 4856
List of positive integer factors of 4856 that divides 4856 without a remainder.
1,2,4,8,607,1214,2428,4856
Greatest Common Factor
We found the factors 175,4856 . The biggest common factor number is the GCF number.
So the greatest common factor 175,4856 is 1.
Lets's calculate LCM of 734,224
2 | 734, 224 |
367, 112 |
∴ So the LCM of the given numbers is 2 x 367 x 112 = 82208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82208
Therefore, the GCF of Fractions 175/734,4856/224 is 1/82208
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 734,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,224) x common factors =2 x 1 = 2
LCM(734,224) = ( 734 × 224 ) / 2
LCM(734,224) = 164416 / 2
LCM(734,224) = 82208
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 175/734, 4856/224?
Answer: GCF of Numerators as per given numbers 175/734, 4856/224 is
GCF of Numerators i.e. for 175,4856 is 1
LCM of denominators i.e. for 734,224 is 82208.
Thus, GCF of Fractions is 1/82208.Finally, GCF of Fractions for 175/734, 4856/224 is 1/82208.