Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7025/77,7679/100
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 7025,7679
Greatest Common Factor of Numerators i.e. GCF of 7025,7679 is 1 .
LCM of Denominators means LCM of 77,100 as per the given fractions.
LCM of 77,100 is 7700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7025,7679
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7025
List of positive integer factors of 7025 that divides 7025 without a remainder.
1,5,25,281,1405,7025
Factors of 7679
List of positive integer factors of 7679 that divides 7679 without a remainder.
1,7,1097,7679
Greatest Common Factor
We found the factors 7025,7679 . The biggest common factor number is the GCF number.
So the greatest common factor 7025,7679 is 1.
Lets's calculate LCM of 77,100
Given numbers has no common factors except 1. So, there LCM is their product i.e 7700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7700
Therefore, the GCF of Fractions 7025/77,7679/100 is 1/7700
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 77,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,100) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,100) x common factors =1 x 1 = 1
LCM(77,100) = ( 77 × 100 ) / 1
LCM(77,100) = 7700 / 1
LCM(77,100) = 7700
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 7025/77, 7679/100?
Answer: GCF of Numerators as per given numbers 7025/77, 7679/100 is
GCF of Numerators i.e. for 7025,7679 is 1
LCM of denominators i.e. for 77,100 is 7700.
Thus, GCF of Fractions is 1/7700.Finally, GCF of Fractions for 7025/77, 7679/100 is 1/7700.