Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 674/88,752/5997
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 674,752
Greatest Common Factor of Numerators i.e. GCF of 674,752 is 2 .
LCM of Denominators means LCM of 88,5997 as per the given fractions.
LCM of 88,5997 is 527736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 674,752
2 | 674, 752 |
337, 376 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 674,752 . The biggest common factor number is the GCF number.
So the greatest common factor 674,752 is 2.
Lets's calculate LCM of 88,5997
Given numbers has no common factors except 1. So, there LCM is their product i.e 527736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/527736
Therefore, the GCF of Fractions 674/88,752/5997 is 2/527736
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 88,5997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,5997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,5997) x common factors =1 x 1 = 1
LCM(88,5997) = ( 88 × 5997 ) / 1
LCM(88,5997) = 527736 / 1
LCM(88,5997) = 527736
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 674/88, 752/5997?
Answer: GCF of Numerators as per given numbers 674/88, 752/5997 is
GCF of Numerators i.e. for 674,752 is 2
LCM of denominators i.e. for 88,5997 is 527736.
Thus, GCF of Fractions is 2/527736.Finally, GCF of Fractions for 674/88, 752/5997 is 2/527736.