GCF of 2353/157, 8361/1712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2353/157, 8361/1712 i.e 1/268784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2353/157, 8361/1712.
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 2353/157,8361/1712?
Given fractions are 2353/157,8361/1712
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 2353/157,8361/1712, numerators are 2353,8361
Denominators are 157,1712
The GCF of 2353,8361 is 1 .
LCM of 157,1712 is 268784.
The greatest common factor of 2353/157,8361/1712 = [GCF of 2353,8361]/[LCM of 157,1712]= 1/268784
Therefore, the GCF of 2353/157,8361/1712 is 1/268784.
To find the highest common factor of 2353,8361, we have to find the factors of both numbers and list the highest common factor.
The factors of 2353 are 1, 13, 181, 2353
The factors of 8361 are 1, 3, 9, 929, 2787, 8361
The HCF of 2353,8361 is 1.
Lets's calculate GCF of 2353,8361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2353,8361 By Matching Biggest Common Factor Method
Now, list down the factors of 2353
:1,13,181,2353
Now, list down the factors of 8361
:1,3,9,929,2787,8361
Greatest Common Factor
We found the factors 2353,8361 . The biggest common factor number is the GCF number.
So the greatest common factor 2353,8361 is 1.
Lets's calculate LCM of 157,1712
Given numbers has no common factors except 1. So, there LCM is their product i.e 268784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268784
Therefore, the GCF of Fractions 2353/157,8361/1712 is 1/268784
Least Common Multiple of 157,1712 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 157,1712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,1712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,1712) x common factors =1 x 1 = 1
LCM(157,1712) = ( 157 × 1712 ) / 1
LCM(157,1712) = 268784 / 1
LCM(157,1712) = 268784
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FAQs on GCF of Fractions of 2353/157, 8361/1712
1. What is the HCF of 2353,8361?
The HCF of 2353,8361 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 2353/157, 8361/1712?
Answer: GCF of Numerators as per given numbers 2353/157, 8361/1712 is
GCF of Numerators i.e. for 2353,8361 is 1
LCM of denominators i.e. for 157,1712 is 268784.
Thus, GCF of Fractions is 1/268784.Finally, GCF of Fractions for 2353/157, 8361/1712 is 1/268784.