GCF of 961/383, 1829/7109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/383, 1829/7109 i.e 31/2722747 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/383, 1829/7109.
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 961/383,1829/7109?
Given fractions are 961/383,1829/7109
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 961/383,1829/7109, numerators are 961,1829
Denominators are 383,7109
The GCF of 961,1829 is 31 .
LCM of 383,7109 is 2722747.
The greatest common factor of 961/383,1829/7109 = [GCF of 961,1829]/[LCM of 383,7109]= 31/2722747
Therefore, the GCF of 961/383,1829/7109 is 31/2722747.
To find the highest common factor of 961,1829, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 1829 are 1, 31, 59, 1829
The HCF of 961,1829 is 31.
Lets's calculate GCF of 961,1829
| 31 | 961, 1829 |
| 31, 59 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 961,1829 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 1829
:1,31,59,1829
Greatest Common Factor
We found the factors 961,1829 . The biggest common factor number is the GCF number.
So the greatest common factor 961,1829 is 31.
Lets's calculate LCM of 383,7109
Given numbers has no common factors except 1. So, there LCM is their product i.e 2722747
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2722747
Therefore, the GCF of Fractions 961/383,1829/7109 is 31/2722747
Least Common Multiple of 383,7109 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 383,7109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,7109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,7109) x common factors =1 x 1 = 1
LCM(383,7109) = ( 383 × 7109 ) / 1
LCM(383,7109) = 2722747 / 1
LCM(383,7109) = 2722747
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 961/383, 1829/7109
1. What is the HCF of 961,1829?
The HCF of 961,1829 is 31
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 961/383, 1829/7109?
Answer: GCF of Numerators as per given numbers 961/383, 1829/7109 is
GCF of Numerators i.e. for 961,1829 is 31
LCM of denominators i.e. for 383,7109 is 2722747.
Thus, GCF of Fractions is 31/2722747.Finally, GCF of Fractions for 961/383, 1829/7109 is 31/2722747.