GCF of 995/22, 164/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 995/22, 164/898 i.e 1/9878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 995/22, 164/898.
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 995/22,164/898?
Given fractions are 995/22,164/898
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 995/22,164/898, numerators are 995,164
Denominators are 22,898
The GCF of 995,164 is 1 .
LCM of 22,898 is 9878.
The greatest common factor of 995/22,164/898 = [GCF of 995,164]/[LCM of 22,898]= 1/9878
Therefore, the GCF of 995/22,164/898 is 1/9878.
To find the highest common factor of 995,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 995 are 1, 5, 199, 995
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 995,164 is 1.
Lets's calculate GCF of 995,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 995,164 By Matching Biggest Common Factor Method
Now, list down the factors of 995
:1,5,199,995
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 995,164 . The biggest common factor number is the GCF number.
So the greatest common factor 995,164 is 1.
Lets's calculate LCM of 22,898
| 2 | 22, 898 |
| 11, 449 |
∴ So the LCM of the given numbers is 2 x 11 x 449 = 9878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9878
Therefore, the GCF of Fractions 995/22,164/898 is 1/9878
Least Common Multiple of 22,898 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 22,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,898) x common factors =2 x 1 = 2
LCM(22,898) = ( 22 × 898 ) / 2
LCM(22,898) = 19756 / 2
LCM(22,898) = 9878
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FAQs on GCF of Fractions of 995/22, 164/898
1. What is the HCF of 995,164?
The HCF of 995,164 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 995/22, 164/898?
Answer: GCF of Numerators as per given numbers 995/22, 164/898 is
GCF of Numerators i.e. for 995,164 is 1
LCM of denominators i.e. for 22,898 is 9878.
Thus, GCF of Fractions is 1/9878.Finally, GCF of Fractions for 995/22, 164/898 is 1/9878.