Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/149,9757/6978
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 88,9757
Greatest Common Factor of Numerators i.e. GCF of 88,9757 is 11 .
LCM of Denominators means LCM of 149,6978 as per the given fractions.
LCM of 149,6978 is 1039722 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,9757
11 | 88, 9757 |
8, 887 |
∴ 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 9757
List of positive integer factors of 9757 that divides 9757 without a remainder.
1,11,887,9757
Greatest Common Factor
We found the factors 88,9757 . The biggest common factor number is the GCF number.
So the greatest common factor 88,9757 is 11.
Lets's calculate LCM of 149,6978
Given numbers has no common factors except 1. So, there LCM is their product i.e 1039722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1039722
Therefore, the GCF of Fractions 88/149,9757/6978 is 11/1039722
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 149,6978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,6978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,6978) x common factors =1 x 1 = 1
LCM(149,6978) = ( 149 × 6978 ) / 1
LCM(149,6978) = 1039722 / 1
LCM(149,6978) = 1039722
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 88/149, 9757/6978?
Answer: GCF of Numerators as per given numbers 88/149, 9757/6978 is
GCF of Numerators i.e. for 88,9757 is 11
LCM of denominators i.e. for 149,6978 is 1039722.
Thus, GCF of Fractions is 11/1039722.Finally, GCF of Fractions for 88/149, 9757/6978 is 11/1039722.