Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/94,431/98,705/74
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 8,431,705
Greatest Common Factor of Numerators i.e. GCF of 8,431,705 is 1 .
LCM of Denominators means LCM of 94,98,74 as per the given fractions.
LCM of 94,98,74 is 170422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,431,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 8,431,705 . The biggest common factor number is the GCF number.
So the greatest common factor 8,431,705 is 1.
Lets's calculate LCM of 94,98,74
2 | 94, 98, 74 |
47, 49, 37 |
∴ So the LCM of the given numbers is 2 x 47 x 49 x 37 = 170422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170422
Therefore, the GCF of Fractions 8/94,431/98,705/74 is 1/170422
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 94,98,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,98,74) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(94,98,74) x common factors =2 x 2 = 4
LCM(94,98,74) = ( 94 × 98 × 74 ) / 4
LCM(94,98,74) = 681688 / 4
LCM(94,98,74) = 170422
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 8/94, 431/98, 705/74?
Answer: GCF of Numerators as per given numbers 8/94, 431/98, 705/74 is
GCF of Numerators i.e. for 8,431,705 is 1
LCM of denominators i.e. for 94,98,74 is 170422.
Thus, GCF of Fractions is 1/170422.Finally, GCF of Fractions for 8/94, 431/98, 705/74 is 1/170422.