Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/512,7470/8239
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 88,7470
Greatest Common Factor of Numerators i.e. GCF of 88,7470 is 2 .
LCM of Denominators means LCM of 512,8239 as per the given fractions.
LCM of 512,8239 is 4218368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,7470
2 | 88, 7470 |
44, 3735 |
∴ So the GCF of the given numbers is 2 = 2
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 7470
List of positive integer factors of 7470 that divides 7470 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Greatest Common Factor
We found the factors 88,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 88,7470 is 2.
Lets's calculate LCM of 512,8239
Given numbers has no common factors except 1. So, there LCM is their product i.e 4218368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4218368
Therefore, the GCF of Fractions 88/512,7470/8239 is 2/4218368
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 512,8239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,8239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,8239) x common factors =1 x 1 = 1
LCM(512,8239) = ( 512 × 8239 ) / 1
LCM(512,8239) = 4218368 / 1
LCM(512,8239) = 4218368
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 88/512, 7470/8239?
Answer: GCF of Numerators as per given numbers 88/512, 7470/8239 is
GCF of Numerators i.e. for 88,7470 is 2
LCM of denominators i.e. for 512,8239 is 4218368.
Thus, GCF of Fractions is 2/4218368.Finally, GCF of Fractions for 88/512, 7470/8239 is 2/4218368.