Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/334,77/755
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 88,77
Greatest Common Factor of Numerators i.e. GCF of 88,77 is 11 .
LCM of Denominators means LCM of 334,755 as per the given fractions.
LCM of 334,755 is 252170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,77
11 | 88, 77 |
8, 7 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Greatest Common Factor
We found the factors 88,77 . The biggest common factor number is the GCF number.
So the greatest common factor 88,77 is 11.
Lets's calculate LCM of 334,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 252170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/252170
Therefore, the GCF of Fractions 88/334,77/755 is 11/252170
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 334,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,755) x common factors =1 x 1 = 1
LCM(334,755) = ( 334 × 755 ) / 1
LCM(334,755) = 252170 / 1
LCM(334,755) = 252170
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 88/334, 77/755?
Answer: GCF of Numerators as per given numbers 88/334, 77/755 is
GCF of Numerators i.e. for 88,77 is 11
LCM of denominators i.e. for 334,755 is 252170.
Thus, GCF of Fractions is 11/252170.Finally, GCF of Fractions for 88/334, 77/755 is 11/252170.