Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/88,97/76,661/679
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 27,97,661
Greatest Common Factor of Numerators i.e. GCF of 27,97,661 is 1 .
LCM of Denominators means LCM of 88,76,679 as per the given fractions.
LCM of 88,76,679 is 1135288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,97,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 27,97,661 . The biggest common factor number is the GCF number.
So the greatest common factor 27,97,661 is 1.
Lets's calculate LCM of 88,76,679
2 | 88, 76, 679 |
2 | 44, 38, 679 |
22, 19, 679 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 19 x 679 = 1135288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1135288
Therefore, the GCF of Fractions 27/88,97/76,661/679 is 1/1135288
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 88,76,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,76,679) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(88,76,679) x common factors =1 x 4 = 4
LCM(88,76,679) = ( 88 × 76 × 679 ) / 4
LCM(88,76,679) = 4541152 / 4
LCM(88,76,679) = 1135288
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 27/88, 97/76, 661/679?
Answer: GCF of Numerators as per given numbers 27/88, 97/76, 661/679 is
GCF of Numerators i.e. for 27,97,661 is 1
LCM of denominators i.e. for 88,76,679 is 1135288.
Thus, GCF of Fractions is 1/1135288.Finally, GCF of Fractions for 27/88, 97/76, 661/679 is 1/1135288.