Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8378/97,8687/988
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 8378,8687
Greatest Common Factor of Numerators i.e. GCF of 8378,8687 is 1 .
LCM of Denominators means LCM of 97,988 as per the given fractions.
LCM of 97,988 is 95836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8378,8687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8378
List of positive integer factors of 8378 that divides 8378 without a remainder.
1,2,59,71,118,142,4189,8378
Factors of 8687
List of positive integer factors of 8687 that divides 8687 without a remainder.
1,7,17,73,119,511,1241,8687
Greatest Common Factor
We found the factors 8378,8687 . The biggest common factor number is the GCF number.
So the greatest common factor 8378,8687 is 1.
Lets's calculate LCM of 97,988
Given numbers has no common factors except 1. So, there LCM is their product i.e 95836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95836
Therefore, the GCF of Fractions 8378/97,8687/988 is 1/95836
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 97,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,988) x common factors =1 x 1 = 1
LCM(97,988) = ( 97 × 988 ) / 1
LCM(97,988) = 95836 / 1
LCM(97,988) = 95836
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 8378/97, 8687/988?
Answer: GCF of Numerators as per given numbers 8378/97, 8687/988 is
GCF of Numerators i.e. for 8378,8687 is 1
LCM of denominators i.e. for 97,988 is 95836.
Thus, GCF of Fractions is 1/95836.Finally, GCF of Fractions for 8378/97, 8687/988 is 1/95836.