GCF of 9713/883, 8436/9057
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9713/883, 8436/9057 i.e 1/7997331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9713/883, 8436/9057.
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 9713/883,8436/9057?
Given fractions are 9713/883,8436/9057
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 9713/883,8436/9057, numerators are 9713,8436
Denominators are 883,9057
The GCF of 9713,8436 is 1 .
LCM of 883,9057 is 7997331.
The greatest common factor of 9713/883,8436/9057 = [GCF of 9713,8436]/[LCM of 883,9057]= 1/7997331
Therefore, the GCF of 9713/883,8436/9057 is 1/7997331.
To find the highest common factor of 9713,8436, we have to find the factors of both numbers and list the highest common factor.
The factors of 9713 are 1, 11, 883, 9713
The factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436
The HCF of 9713,8436 is 1.
Lets's calculate GCF of 9713,8436
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9713,8436 By Matching Biggest Common Factor Method
Now, list down the factors of 9713
:1,11,883,9713
Now, list down the factors of 8436
:1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436
Greatest Common Factor
We found the factors 9713,8436 . The biggest common factor number is the GCF number.
So the greatest common factor 9713,8436 is 1.
Lets's calculate LCM of 883,9057
Given numbers has no common factors except 1. So, there LCM is their product i.e 7997331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7997331
Therefore, the GCF of Fractions 9713/883,8436/9057 is 1/7997331
Least Common Multiple of 883,9057 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 883,9057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,9057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,9057) x common factors =1 x 1 = 1
LCM(883,9057) = ( 883 × 9057 ) / 1
LCM(883,9057) = 7997331 / 1
LCM(883,9057) = 7997331
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9713/883, 8436/9057
1. What is the HCF of 9713,8436?
The HCF of 9713,8436 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 9713/883, 8436/9057?
Answer: GCF of Numerators as per given numbers 9713/883, 8436/9057 is
GCF of Numerators i.e. for 9713,8436 is 1
LCM of denominators i.e. for 883,9057 is 7997331.
Thus, GCF of Fractions is 1/7997331.Finally, GCF of Fractions for 9713/883, 8436/9057 is 1/7997331.