Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/70,352/72,650/370
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 895,352,650
Greatest Common Factor of Numerators i.e. GCF of 895,352,650 is 1 .
LCM of Denominators means LCM of 70,72,370 as per the given fractions.
LCM of 70,72,370 is 93240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 895,352,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 895,352,650 . The biggest common factor number is the GCF number.
So the greatest common factor 895,352,650 is 1.
Lets's calculate LCM of 70,72,370
2 | 70, 72, 370 |
5 | 35, 36, 185 |
7, 36, 37 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 36 x 37 = 93240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93240
Therefore, the GCF of Fractions 895/70,352/72,650/370 is 1/93240
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 70,72,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,72,370) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(70,72,370) x common factors =2 x 10 = 20
LCM(70,72,370) = ( 70 × 72 × 370 ) / 20
LCM(70,72,370) = 1864800 / 20
LCM(70,72,370) = 93240
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 895/70, 352/72, 650/370?
Answer: GCF of Numerators as per given numbers 895/70, 352/72, 650/370 is
GCF of Numerators i.e. for 895,352,650 is 1
LCM of denominators i.e. for 70,72,370 is 93240.
Thus, GCF of Fractions is 1/93240.Finally, GCF of Fractions for 895/70, 352/72, 650/370 is 1/93240.