GCF of 995/298, 270/522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 995/298, 270/522 i.e 5/77778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 995/298, 270/522.
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 995/298,270/522?
Given fractions are 995/298,270/522
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 995/298,270/522, numerators are 995,270
Denominators are 298,522
The GCF of 995,270 is 5 .
LCM of 298,522 is 77778.
The greatest common factor of 995/298,270/522 = [GCF of 995,270]/[LCM of 298,522]= 5/77778
Therefore, the GCF of 995/298,270/522 is 5/77778.
To find the highest common factor of 995,270, 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 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 995,270 is 5.
Lets's calculate GCF of 995,270
| 5 | 995, 270 |
| 199, 54 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 995,270 By Matching Biggest Common Factor Method
Now, list down the factors of 995
:1,5,199,995
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 995,270 . The biggest common factor number is the GCF number.
So the greatest common factor 995,270 is 5.
Lets's calculate LCM of 298,522
| 2 | 298, 522 |
| 149, 261 |
∴ So the LCM of the given numbers is 2 x 149 x 261 = 77778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/77778
Therefore, the GCF of Fractions 995/298,270/522 is 5/77778
Least Common Multiple of 298,522 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 298,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,522) x common factors =2 x 1 = 2
LCM(298,522) = ( 298 × 522 ) / 2
LCM(298,522) = 155556 / 2
LCM(298,522) = 77778
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 995/298, 270/522
1. What is the HCF of 995,270?
The HCF of 995,270 is 5
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 995/298, 270/522?
Answer: GCF of Numerators as per given numbers 995/298, 270/522 is
GCF of Numerators i.e. for 995,270 is 5
LCM of denominators i.e. for 298,522 is 77778.
Thus, GCF of Fractions is 5/77778.Finally, GCF of Fractions for 995/298, 270/522 is 5/77778.