GCF of 9373/820, 2312/4829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9373/820, 2312/4829 i.e 1/3959780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9373/820, 2312/4829.
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 9373/820,2312/4829?
Given fractions are 9373/820,2312/4829
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 9373/820,2312/4829, numerators are 9373,2312
Denominators are 820,4829
The GCF of 9373,2312 is 1 .
LCM of 820,4829 is 3959780.
The greatest common factor of 9373/820,2312/4829 = [GCF of 9373,2312]/[LCM of 820,4829]= 1/3959780
Therefore, the GCF of 9373/820,2312/4829 is 1/3959780.
To find the highest common factor of 9373,2312, we have to find the factors of both numbers and list the highest common factor.
The factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373
The factors of 2312 are 1, 2, 4, 8, 17, 34, 68, 136, 289, 578, 1156, 2312
The HCF of 9373,2312 is 1.
Lets's calculate GCF of 9373,2312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9373,2312 By Matching Biggest Common Factor Method
Now, list down the factors of 9373
:1,7,13,91,103,721,1339,9373
Now, list down the factors of 2312
:1,2,4,8,17,34,68,136,289,578,1156,2312
Greatest Common Factor
We found the factors 9373,2312 . The biggest common factor number is the GCF number.
So the greatest common factor 9373,2312 is 1.
Lets's calculate LCM of 820,4829
Given numbers has no common factors except 1. So, there LCM is their product i.e 3959780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3959780
Therefore, the GCF of Fractions 9373/820,2312/4829 is 1/3959780
Least Common Multiple of 820,4829 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 820,4829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,4829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,4829) x common factors =1 x 1 = 1
LCM(820,4829) = ( 820 × 4829 ) / 1
LCM(820,4829) = 3959780 / 1
LCM(820,4829) = 3959780
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FAQs on GCF of Fractions of 9373/820, 2312/4829
1. What is the HCF of 9373,2312?
The HCF of 9373,2312 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 9373/820, 2312/4829?
Answer: GCF of Numerators as per given numbers 9373/820, 2312/4829 is
GCF of Numerators i.e. for 9373,2312 is 1
LCM of denominators i.e. for 820,4829 is 3959780.
Thus, GCF of Fractions is 1/3959780.Finally, GCF of Fractions for 9373/820, 2312/4829 is 1/3959780.