Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 880/85,872/18,681/818
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 880,872,681
Greatest Common Factor of Numerators i.e. GCF of 880,872,681 is 1 .
LCM of Denominators means LCM of 85,18,818 as per the given fractions.
LCM of 85,18,818 is 625770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 880,872,681
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 880,872,681 . The biggest common factor number is the GCF number.
So the greatest common factor 880,872,681 is 1.
Lets's calculate LCM of 85,18,818
2 | 85, 18, 818 |
85, 9, 409 |
∴ So the LCM of the given numbers is 2 x 85 x 9 x 409 = 625770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/625770
Therefore, the GCF of Fractions 880/85,872/18,681/818 is 1/625770
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 85,18,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,18,818) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(85,18,818) x common factors =1 x 2 = 2
LCM(85,18,818) = ( 85 × 18 × 818 ) / 2
LCM(85,18,818) = 1251540 / 2
LCM(85,18,818) = 625770
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 880/85, 872/18, 681/818?
Answer: GCF of Numerators as per given numbers 880/85, 872/18, 681/818 is
GCF of Numerators i.e. for 880,872,681 is 1
LCM of denominators i.e. for 85,18,818 is 625770.
Thus, GCF of Fractions is 1/625770.Finally, GCF of Fractions for 880/85, 872/18, 681/818 is 1/625770.