Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/808,702/538,129/128
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 88,702,129
Greatest Common Factor of Numerators i.e. GCF of 88,702,129 is 1 .
LCM of Denominators means LCM of 808,538,128 as per the given fractions.
LCM of 808,538,128 is 3477632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,702,129
∴ 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 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Greatest Common Factor
We found the factors 88,702,129 . The biggest common factor number is the GCF number.
So the greatest common factor 88,702,129 is 1.
Lets's calculate LCM of 808,538,128
2 | 808, 538, 128 |
2 | 404, 269, 64 |
2 | 202, 269, 32 |
101, 269, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 269 x 16 = 3477632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3477632
Therefore, the GCF of Fractions 88/808,702/538,129/128 is 1/3477632
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 808,538,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,538,128) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(808,538,128) x common factors =2 x 8 = 16
LCM(808,538,128) = ( 808 × 538 × 128 ) / 16
LCM(808,538,128) = 55642112 / 16
LCM(808,538,128) = 3477632
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 88/808, 702/538, 129/128?
Answer: GCF of Numerators as per given numbers 88/808, 702/538, 129/128 is
GCF of Numerators i.e. for 88,702,129 is 1
LCM of denominators i.e. for 808,538,128 is 3477632.
Thus, GCF of Fractions is 1/3477632.Finally, GCF of Fractions for 88/808, 702/538, 129/128 is 1/3477632.