Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/7424,100/8775
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 770,100
Greatest Common Factor of Numerators i.e. GCF of 770,100 is 10 .
LCM of Denominators means LCM of 7424,8775 as per the given fractions.
LCM of 7424,8775 is 65145600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 770,100
2 | 770, 100 |
5 | 385, 50 |
77, 10 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 770,100 . The biggest common factor number is the GCF number.
So the greatest common factor 770,100 is 10.
Lets's calculate LCM of 7424,8775
Given numbers has no common factors except 1. So, there LCM is their product i.e 65145600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/65145600
Therefore, the GCF of Fractions 770/7424,100/8775 is 10/65145600
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 7424,8775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7424,8775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7424,8775) x common factors =1 x 1 = 1
LCM(7424,8775) = ( 7424 × 8775 ) / 1
LCM(7424,8775) = 65145600 / 1
LCM(7424,8775) = 65145600
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 770/7424, 100/8775?
Answer: GCF of Numerators as per given numbers 770/7424, 100/8775 is
GCF of Numerators i.e. for 770,100 is 10
LCM of denominators i.e. for 7424,8775 is 65145600.
Thus, GCF of Fractions is 10/65145600.Finally, GCF of Fractions for 770/7424, 100/8775 is 10/65145600.