GCF of 5977/701, 9853/2565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5977/701, 9853/2565 i.e 1/1798065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5977/701, 9853/2565.
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 5977/701,9853/2565?
Given fractions are 5977/701,9853/2565
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 5977/701,9853/2565, numerators are 5977,9853
Denominators are 701,2565
The GCF of 5977,9853 is 1 .
LCM of 701,2565 is 1798065.
The greatest common factor of 5977/701,9853/2565 = [GCF of 5977,9853]/[LCM of 701,2565]= 1/1798065
Therefore, the GCF of 5977/701,9853/2565 is 1/1798065.
To find the highest common factor of 5977,9853, we have to find the factors of both numbers and list the highest common factor.
The factors of 5977 are 1, 43, 139, 5977
The factors of 9853 are 1, 59, 167, 9853
The HCF of 5977,9853 is 1.
Lets's calculate GCF of 5977,9853
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5977,9853 By Matching Biggest Common Factor Method
Now, list down the factors of 5977
:1,43,139,5977
Now, list down the factors of 9853
:1,59,167,9853
Greatest Common Factor
We found the factors 5977,9853 . The biggest common factor number is the GCF number.
So the greatest common factor 5977,9853 is 1.
Lets's calculate LCM of 701,2565
Given numbers has no common factors except 1. So, there LCM is their product i.e 1798065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1798065
Therefore, the GCF of Fractions 5977/701,9853/2565 is 1/1798065
Least Common Multiple of 701,2565 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 701,2565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,2565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,2565) x common factors =1 x 1 = 1
LCM(701,2565) = ( 701 × 2565 ) / 1
LCM(701,2565) = 1798065 / 1
LCM(701,2565) = 1798065
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5977/701, 9853/2565
1. What is the HCF of 5977,9853?
The HCF of 5977,9853 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 5977/701, 9853/2565?
Answer: GCF of Numerators as per given numbers 5977/701, 9853/2565 is
GCF of Numerators i.e. for 5977,9853 is 1
LCM of denominators i.e. for 701,2565 is 1798065.
Thus, GCF of Fractions is 1/1798065.Finally, GCF of Fractions for 5977/701, 9853/2565 is 1/1798065.