GCF of 895/589, 214/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 895/589, 214/989 i.e 1/582521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/589, 214/989.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 895/589,214/989?
Given fractions are 895/589,214/989
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 895/589,214/989, numerators are 895,214
Denominators are 589,989
The GCF of 895,214 is 1 .
LCM of 589,989 is 582521.
The greatest common factor of 895/589,214/989 = [GCF of 895,214]/[LCM of 589,989]= 1/582521
Therefore, the GCF of 895/589,214/989 is 1/582521.
To find the highest common factor of 895,214, we have to find the factors of both numbers and list the highest common factor.
The factors of 895 are 1, 5, 179, 895
The factors of 214 are 1, 2, 107, 214
The HCF of 895,214 is 1.
Lets's calculate GCF of 895,214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 895,214 By Matching Biggest Common Factor Method
Now, list down the factors of 895
:1,5,179,895
Now, list down the factors of 214
:1,2,107,214
Greatest Common Factor
We found the factors 895,214 . The biggest common factor number is the GCF number.
So the greatest common factor 895,214 is 1.
Lets's calculate LCM of 589,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 582521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582521
Therefore, the GCF of Fractions 895/589,214/989 is 1/582521
Least Common Multiple of 589,989 with GCF Formula
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 589,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,989) x common factors =1 x 1 = 1
LCM(589,989) = ( 589 × 989 ) / 1
LCM(589,989) = 582521 / 1
LCM(589,989) = 582521
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FAQs on GCF of Fractions of 895/589, 214/989
1. What is the HCF of 895,214?
The HCF of 895,214 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 895/589, 214/989?
Answer: GCF of Numerators as per given numbers 895/589, 214/989 is
GCF of Numerators i.e. for 895,214 is 1
LCM of denominators i.e. for 589,989 is 582521.
Thus, GCF of Fractions is 1/582521.Finally, GCF of Fractions for 895/589, 214/989 is 1/582521.