Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/932,638/403,802/914
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 86,638,802
Greatest Common Factor of Numerators i.e. GCF of 86,638,802 is 2 .
LCM of Denominators means LCM of 932,403,914 as per the given fractions.
LCM of 932,403,914 is 171647372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,638,802
2 | 86, 638, 802 |
43, 319, 401 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Greatest Common Factor
We found the factors 86,638,802 . The biggest common factor number is the GCF number.
So the greatest common factor 86,638,802 is 2.
Lets's calculate LCM of 932,403,914
2 | 932, 403, 914 |
466, 403, 457 |
∴ So the LCM of the given numbers is 2 x 466 x 403 x 457 = 171647372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171647372
Therefore, the GCF of Fractions 86/932,638/403,802/914 is 2/171647372
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 932,403,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,403,914) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(932,403,914) x common factors =1 x 2 = 2
LCM(932,403,914) = ( 932 × 403 × 914 ) / 2
LCM(932,403,914) = 343294744 / 2
LCM(932,403,914) = 171647372
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 86/932, 638/403, 802/914?
Answer: GCF of Numerators as per given numbers 86/932, 638/403, 802/914 is
GCF of Numerators i.e. for 86,638,802 is 2
LCM of denominators i.e. for 932,403,914 is 171647372.
Thus, GCF of Fractions is 2/171647372.Finally, GCF of Fractions for 86/932, 638/403, 802/914 is 2/171647372.