GCF of 9349/716, 1702/2189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9349/716, 1702/2189 i.e 1/1567324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9349/716, 1702/2189.
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 9349/716,1702/2189?
Given fractions are 9349/716,1702/2189
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 9349/716,1702/2189, numerators are 9349,1702
Denominators are 716,2189
The GCF of 9349,1702 is 1 .
LCM of 716,2189 is 1567324.
The greatest common factor of 9349/716,1702/2189 = [GCF of 9349,1702]/[LCM of 716,2189]= 1/1567324
Therefore, the GCF of 9349/716,1702/2189 is 1/1567324.
To find the highest common factor of 9349,1702, we have to find the factors of both numbers and list the highest common factor.
The factors of 9349 are 1, 9349
The factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702
The HCF of 9349,1702 is 1.
Lets's calculate GCF of 9349,1702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9349,1702 By Matching Biggest Common Factor Method
Now, list down the factors of 9349
:1,9349
Now, list down the factors of 1702
:1,2,23,37,46,74,851,1702
Greatest Common Factor
We found the factors 9349,1702 . The biggest common factor number is the GCF number.
So the greatest common factor 9349,1702 is 1.
Lets's calculate LCM of 716,2189
Given numbers has no common factors except 1. So, there LCM is their product i.e 1567324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1567324
Therefore, the GCF of Fractions 9349/716,1702/2189 is 1/1567324
Least Common Multiple of 716,2189 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 716,2189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,2189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,2189) x common factors =1 x 1 = 1
LCM(716,2189) = ( 716 × 2189 ) / 1
LCM(716,2189) = 1567324 / 1
LCM(716,2189) = 1567324
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FAQs on GCF of Fractions of 9349/716, 1702/2189
1. What is the HCF of 9349,1702?
The HCF of 9349,1702 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 9349/716, 1702/2189?
Answer: GCF of Numerators as per given numbers 9349/716, 1702/2189 is
GCF of Numerators i.e. for 9349,1702 is 1
LCM of denominators i.e. for 716,2189 is 1567324.
Thus, GCF of Fractions is 1/1567324.Finally, GCF of Fractions for 9349/716, 1702/2189 is 1/1567324.