Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 616/496,7425/701
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 616,7425
Greatest Common Factor of Numerators i.e. GCF of 616,7425 is 11 .
LCM of Denominators means LCM of 496,701 as per the given fractions.
LCM of 496,701 is 347696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 616,7425
11 | 616, 7425 |
56, 675 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 7425
List of positive integer factors of 7425 that divides 7425 without a remainder.
1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Greatest Common Factor
We found the factors 616,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 616,7425 is 11.
Lets's calculate LCM of 496,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 347696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/347696
Therefore, the GCF of Fractions 616/496,7425/701 is 11/347696
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 496,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,701) x common factors =1 x 1 = 1
LCM(496,701) = ( 496 × 701 ) / 1
LCM(496,701) = 347696 / 1
LCM(496,701) = 347696
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 616/496, 7425/701?
Answer: GCF of Numerators as per given numbers 616/496, 7425/701 is
GCF of Numerators i.e. for 616,7425 is 11
LCM of denominators i.e. for 496,701 is 347696.
Thus, GCF of Fractions is 11/347696.Finally, GCF of Fractions for 616/496, 7425/701 is 11/347696.