GCF of 9829/307, 2033/5470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9829/307, 2033/5470 i.e 1/1679290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9829/307, 2033/5470.
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 9829/307,2033/5470?
Given fractions are 9829/307,2033/5470
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 9829/307,2033/5470, numerators are 9829,2033
Denominators are 307,5470
The GCF of 9829,2033 is 1 .
LCM of 307,5470 is 1679290.
The greatest common factor of 9829/307,2033/5470 = [GCF of 9829,2033]/[LCM of 307,5470]= 1/1679290
Therefore, the GCF of 9829/307,2033/5470 is 1/1679290.
To find the highest common factor of 9829,2033, we have to find the factors of both numbers and list the highest common factor.
The factors of 9829 are 1, 9829
The factors of 2033 are 1, 19, 107, 2033
The HCF of 9829,2033 is 1.
Lets's calculate GCF of 9829,2033
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9829,2033 By Matching Biggest Common Factor Method
Now, list down the factors of 9829
:1,9829
Now, list down the factors of 2033
:1,19,107,2033
Greatest Common Factor
We found the factors 9829,2033 . The biggest common factor number is the GCF number.
So the greatest common factor 9829,2033 is 1.
Lets's calculate LCM of 307,5470
Given numbers has no common factors except 1. So, there LCM is their product i.e 1679290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1679290
Therefore, the GCF of Fractions 9829/307,2033/5470 is 1/1679290
Least Common Multiple of 307,5470 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 307,5470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,5470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,5470) x common factors =1 x 1 = 1
LCM(307,5470) = ( 307 × 5470 ) / 1
LCM(307,5470) = 1679290 / 1
LCM(307,5470) = 1679290
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FAQs on GCF of Fractions of 9829/307, 2033/5470
1. What is the HCF of 9829,2033?
The HCF of 9829,2033 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 9829/307, 2033/5470?
Answer: GCF of Numerators as per given numbers 9829/307, 2033/5470 is
GCF of Numerators i.e. for 9829,2033 is 1
LCM of denominators i.e. for 307,5470 is 1679290.
Thus, GCF of Fractions is 1/1679290.Finally, GCF of Fractions for 9829/307, 2033/5470 is 1/1679290.