Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/92,459/84,786/689
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 80,459,786
Greatest Common Factor of Numerators i.e. GCF of 80,459,786 is 1 .
LCM of Denominators means LCM of 92,84,689 as per the given fractions.
LCM of 92,84,689 is 1331148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,459,786
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 80,459,786 . The biggest common factor number is the GCF number.
So the greatest common factor 80,459,786 is 1.
Lets's calculate LCM of 92,84,689
2 | 92, 84, 689 |
2 | 46, 42, 689 |
23, 21, 689 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 21 x 689 = 1331148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1331148
Therefore, the GCF of Fractions 80/92,459/84,786/689 is 1/1331148
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 92,84,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,84,689) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,84,689) x common factors =1 x 4 = 4
LCM(92,84,689) = ( 92 × 84 × 689 ) / 4
LCM(92,84,689) = 5324592 / 4
LCM(92,84,689) = 1331148
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 80/92, 459/84, 786/689?
Answer: GCF of Numerators as per given numbers 80/92, 459/84, 786/689 is
GCF of Numerators i.e. for 80,459,786 is 1
LCM of denominators i.e. for 92,84,689 is 1331148.
Thus, GCF of Fractions is 1/1331148.Finally, GCF of Fractions for 80/92, 459/84, 786/689 is 1/1331148.