Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/67,304/68,785/371
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 98,304,785
Greatest Common Factor of Numerators i.e. GCF of 98,304,785 is 1 .
LCM of Denominators means LCM of 67,68,371 as per the given fractions.
LCM of 67,68,371 is 1690276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,304,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 98,304,785 . The biggest common factor number is the GCF number.
So the greatest common factor 98,304,785 is 1.
Lets's calculate LCM of 67,68,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 1690276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1690276
Therefore, the GCF of Fractions 98/67,304/68,785/371 is 1/1690276
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 67,68,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,68,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,68,371) x common factors =1 x 1 = 1
LCM(67,68,371) = ( 67 × 68 × 371 ) / 1
LCM(67,68,371) = 1690276 / 1
LCM(67,68,371) = 1690276
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 98/67, 304/68, 785/371?
Answer: GCF of Numerators as per given numbers 98/67, 304/68, 785/371 is
GCF of Numerators i.e. for 98,304,785 is 1
LCM of denominators i.e. for 67,68,371 is 1690276.
Thus, GCF of Fractions is 1/1690276.Finally, GCF of Fractions for 98/67, 304/68, 785/371 is 1/1690276.