GCF of 97/802, 1036/6051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/802, 1036/6051 i.e 1/4852902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/802, 1036/6051.
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 97/802,1036/6051?
Given fractions are 97/802,1036/6051
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 97/802,1036/6051, numerators are 97,1036
Denominators are 802,6051
The GCF of 97,1036 is 1 .
LCM of 802,6051 is 4852902.
The greatest common factor of 97/802,1036/6051 = [GCF of 97,1036]/[LCM of 802,6051]= 1/4852902
Therefore, the GCF of 97/802,1036/6051 is 1/4852902.
To find the highest common factor of 97,1036, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036
The HCF of 97,1036 is 1.
Lets's calculate GCF of 97,1036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,1036 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 1036
:1,2,4,7,14,28,37,74,148,259,518,1036
Greatest Common Factor
We found the factors 97,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 97,1036 is 1.
Lets's calculate LCM of 802,6051
Given numbers has no common factors except 1. So, there LCM is their product i.e 4852902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4852902
Therefore, the GCF of Fractions 97/802,1036/6051 is 1/4852902
Least Common Multiple of 802,6051 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 802,6051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,6051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,6051) x common factors =1 x 1 = 1
LCM(802,6051) = ( 802 × 6051 ) / 1
LCM(802,6051) = 4852902 / 1
LCM(802,6051) = 4852902
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 97/802, 1036/6051
1. What is the HCF of 97,1036?
The HCF of 97,1036 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 97/802, 1036/6051?
Answer: GCF of Numerators as per given numbers 97/802, 1036/6051 is
GCF of Numerators i.e. for 97,1036 is 1
LCM of denominators i.e. for 802,6051 is 4852902.
Thus, GCF of Fractions is 1/4852902.Finally, GCF of Fractions for 97/802, 1036/6051 is 1/4852902.