Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/976,770/901
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 99,770
Greatest Common Factor of Numerators i.e. GCF of 99,770 is 11 .
LCM of Denominators means LCM of 976,901 as per the given fractions.
LCM of 976,901 is 879376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,770
11 | 99, 770 |
9, 70 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 99,770 . The biggest common factor number is the GCF number.
So the greatest common factor 99,770 is 11.
Lets's calculate LCM of 976,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 879376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/879376
Therefore, the GCF of Fractions 99/976,770/901 is 11/879376
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 976,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,901) x common factors =1 x 1 = 1
LCM(976,901) = ( 976 × 901 ) / 1
LCM(976,901) = 879376 / 1
LCM(976,901) = 879376
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 99/976, 770/901?
Answer: GCF of Numerators as per given numbers 99/976, 770/901 is
GCF of Numerators i.e. for 99,770 is 11
LCM of denominators i.e. for 976,901 is 879376.
Thus, GCF of Fractions is 11/879376.Finally, GCF of Fractions for 99/976, 770/901 is 11/879376.