Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/883,271/758,892/883
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 70,271,892
Greatest Common Factor of Numerators i.e. GCF of 70,271,892 is 1 .
LCM of Denominators means LCM of 883,758,883 as per the given fractions.
LCM of 883,758,883 is 669314 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,271,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 70,271,892 . The biggest common factor number is the GCF number.
So the greatest common factor 70,271,892 is 1.
Lets's calculate LCM of 883,758,883
883 | 883, 758, 883 |
1, 758, 1 |
∴ So the LCM of the given numbers is 883 x 1 x 758 x 1 = 669314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/669314
Therefore, the GCF of Fractions 70/883,271/758,892/883 is 1/669314
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 883,758,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,758,883) = 1
common factors(in case of two or more numbers have common factors) = 883
GCF(883,758,883) x common factors =1 x 883 = 883
LCM(883,758,883) = ( 883 × 758 × 883 ) / 883
LCM(883,758,883) = 591004262 / 883
LCM(883,758,883) = 669314
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 70/883, 271/758, 892/883?
Answer: GCF of Numerators as per given numbers 70/883, 271/758, 892/883 is
GCF of Numerators i.e. for 70,271,892 is 1
LCM of denominators i.e. for 883,758,883 is 669314.
Thus, GCF of Fractions is 1/669314.Finally, GCF of Fractions for 70/883, 271/758, 892/883 is 1/669314.