GCF of 826/330, 9970/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 826/330, 9970/211 i.e 2/69630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/330, 9970/211.
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 826/330,9970/211?
Given fractions are 826/330,9970/211
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 826/330,9970/211, numerators are 826,9970
Denominators are 330,211
The GCF of 826,9970 is 2 .
LCM of 330,211 is 69630.
The greatest common factor of 826/330,9970/211 = [GCF of 826,9970]/[LCM of 330,211]= 2/69630
Therefore, the GCF of 826/330,9970/211 is 2/69630.
To find the highest common factor of 826,9970, we have to find the factors of both numbers and list the highest common factor.
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970
The HCF of 826,9970 is 2.
Lets's calculate GCF of 826,9970
| 2 | 826, 9970 |
| 413, 4985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 826,9970 By Matching Biggest Common Factor Method
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Now, list down the factors of 9970
:1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors 826,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 826,9970 is 2.
Lets's calculate LCM of 330,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 69630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69630
Therefore, the GCF of Fractions 826/330,9970/211 is 2/69630
Least Common Multiple of 330,211 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 330,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(330,211) x common factors =1 x 1 = 1
LCM(330,211) = ( 330 × 211 ) / 1
LCM(330,211) = 69630 / 1
LCM(330,211) = 69630
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 826/330, 9970/211
1. What is the HCF of 826,9970?
The HCF of 826,9970 is 2
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 826/330, 9970/211?
Answer: GCF of Numerators as per given numbers 826/330, 9970/211 is
GCF of Numerators i.e. for 826,9970 is 2
LCM of denominators i.e. for 330,211 is 69630.
Thus, GCF of Fractions is 2/69630.Finally, GCF of Fractions for 826/330, 9970/211 is 2/69630.