Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/66,86/77,373/257
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 76,86,373
Greatest Common Factor of Numerators i.e. GCF of 76,86,373 is 1 .
LCM of Denominators means LCM of 66,77,257 as per the given fractions.
LCM of 66,77,257 is 118734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,86,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 76,86,373 . The biggest common factor number is the GCF number.
So the greatest common factor 76,86,373 is 1.
Lets's calculate LCM of 66,77,257
11 | 66, 77, 257 |
6, 7, 257 |
∴ So the LCM of the given numbers is 11 x 6 x 7 x 257 = 118734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118734
Therefore, the GCF of Fractions 76/66,86/77,373/257 is 1/118734
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 66,77,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,77,257) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(66,77,257) x common factors =1 x 11 = 11
LCM(66,77,257) = ( 66 × 77 × 257 ) / 11
LCM(66,77,257) = 1306074 / 11
LCM(66,77,257) = 118734
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 76/66, 86/77, 373/257?
Answer: GCF of Numerators as per given numbers 76/66, 86/77, 373/257 is
GCF of Numerators i.e. for 76,86,373 is 1
LCM of denominators i.e. for 66,77,257 is 118734.
Thus, GCF of Fractions is 1/118734.Finally, GCF of Fractions for 76/66, 86/77, 373/257 is 1/118734.