Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 897/169,581/238,630/521
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 897,581,630
Greatest Common Factor of Numerators i.e. GCF of 897,581,630 is 1 .
LCM of Denominators means LCM of 169,238,521 as per the given fractions.
LCM of 169,238,521 is 20955662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 897,581,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 897,581,630 . The biggest common factor number is the GCF number.
So the greatest common factor 897,581,630 is 1.
Lets's calculate LCM of 169,238,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 20955662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20955662
Therefore, the GCF of Fractions 897/169,581/238,630/521 is 1/20955662
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 169,238,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,238,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,238,521) x common factors =1 x 1 = 1
LCM(169,238,521) = ( 169 × 238 × 521 ) / 1
LCM(169,238,521) = 20955662 / 1
LCM(169,238,521) = 20955662
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 897/169, 581/238, 630/521?
Answer: GCF of Numerators as per given numbers 897/169, 581/238, 630/521 is
GCF of Numerators i.e. for 897,581,630 is 1
LCM of denominators i.e. for 169,238,521 is 20955662.
Thus, GCF of Fractions is 1/20955662.Finally, GCF of Fractions for 897/169, 581/238, 630/521 is 1/20955662.