GCF of 9859/128, 9374/8127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9859/128, 9374/8127 i.e 1/1040256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9859/128, 9374/8127.
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 9859/128,9374/8127?
Given fractions are 9859/128,9374/8127
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 9859/128,9374/8127, numerators are 9859,9374
Denominators are 128,8127
The GCF of 9859,9374 is 1 .
LCM of 128,8127 is 1040256.
The greatest common factor of 9859/128,9374/8127 = [GCF of 9859,9374]/[LCM of 128,8127]= 1/1040256
Therefore, the GCF of 9859/128,9374/8127 is 1/1040256.
To find the highest common factor of 9859,9374, we have to find the factors of both numbers and list the highest common factor.
The factors of 9859 are 1, 9859
The factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374
The HCF of 9859,9374 is 1.
Lets's calculate GCF of 9859,9374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9859,9374 By Matching Biggest Common Factor Method
Now, list down the factors of 9859
:1,9859
Now, list down the factors of 9374
:1,2,43,86,109,218,4687,9374
Greatest Common Factor
We found the factors 9859,9374 . The biggest common factor number is the GCF number.
So the greatest common factor 9859,9374 is 1.
Lets's calculate LCM of 128,8127
Given numbers has no common factors except 1. So, there LCM is their product i.e 1040256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1040256
Therefore, the GCF of Fractions 9859/128,9374/8127 is 1/1040256
Least Common Multiple of 128,8127 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 128,8127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,8127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,8127) x common factors =1 x 1 = 1
LCM(128,8127) = ( 128 × 8127 ) / 1
LCM(128,8127) = 1040256 / 1
LCM(128,8127) = 1040256
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FAQs on GCF of Fractions of 9859/128, 9374/8127
1. What is the HCF of 9859,9374?
The HCF of 9859,9374 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 9859/128, 9374/8127?
Answer: GCF of Numerators as per given numbers 9859/128, 9374/8127 is
GCF of Numerators i.e. for 9859,9374 is 1
LCM of denominators i.e. for 128,8127 is 1040256.
Thus, GCF of Fractions is 1/1040256.Finally, GCF of Fractions for 9859/128, 9374/8127 is 1/1040256.