Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 986/74,524/695
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 986,524
Greatest Common Factor of Numerators i.e. GCF of 986,524 is 2 .
LCM of Denominators means LCM of 74,695 as per the given fractions.
LCM of 74,695 is 51430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 986,524
2 | 986, 524 |
493, 262 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 986,524 . The biggest common factor number is the GCF number.
So the greatest common factor 986,524 is 2.
Lets's calculate LCM of 74,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 51430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51430
Therefore, the GCF of Fractions 986/74,524/695 is 2/51430
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 74,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,695) x common factors =1 x 1 = 1
LCM(74,695) = ( 74 × 695 ) / 1
LCM(74,695) = 51430 / 1
LCM(74,695) = 51430
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 986/74, 524/695?
Answer: GCF of Numerators as per given numbers 986/74, 524/695 is
GCF of Numerators i.e. for 986,524 is 2
LCM of denominators i.e. for 74,695 is 51430.
Thus, GCF of Fractions is 2/51430.Finally, GCF of Fractions for 986/74, 524/695 is 2/51430.