Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/98,99/26,98/62,674/41
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 88,99,98,674
Greatest Common Factor of Numerators i.e. GCF of 88,99,98,674 is 1 .
LCM of Denominators means LCM of 98,26,62,41 as per the given fractions.
LCM of 98,26,62,41 is 1619254 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,99,98,674
∴ So GCF of numbers is 1 because of no common factors present between them.
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 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 88,99,98,674 . The biggest common factor number is the GCF number.
So the greatest common factor 88,99,98,674 is 1.
Lets's calculate LCM of 98,26,62,41
2 | 98, 26, 62, 41 |
49, 13, 31, 41 |
∴ So the LCM of the given numbers is 2 x 49 x 13 x 31 x 41 = 1619254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1619254
Therefore, the GCF of Fractions 88/98,99/26,98/62,674/41 is 1/1619254
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 98,26,62,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,26,62,41) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(98,26,62,41) x common factors =1 x 4 = 4
LCM(98,26,62,41) = ( 98 × 26 × 62 × 41 ) / 4
LCM(98,26,62,41) = 6477016 / 4
LCM(98,26,62,41) = 1619254
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 88/98, 99/26, 98/62, 674/41?
Answer: GCF of Numerators as per given numbers 88/98, 99/26, 98/62, 674/41 is
GCF of Numerators i.e. for 88,99,98,674 is 1
LCM of denominators i.e. for 98,26,62,41 is 1619254.
Thus, GCF of Fractions is 1/1619254.Finally, GCF of Fractions for 88/98, 99/26, 98/62, 674/41 is 1/1619254.