GCF of 5971/777, 8513/9769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5971/777, 8513/9769 i.e 1/7590513 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5971/777, 8513/9769.
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 5971/777,8513/9769?
Given fractions are 5971/777,8513/9769
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 5971/777,8513/9769, numerators are 5971,8513
Denominators are 777,9769
The GCF of 5971,8513 is 1 .
LCM of 777,9769 is 7590513.
The greatest common factor of 5971/777,8513/9769 = [GCF of 5971,8513]/[LCM of 777,9769]= 1/7590513
Therefore, the GCF of 5971/777,8513/9769 is 1/7590513.
To find the highest common factor of 5971,8513, we have to find the factors of both numbers and list the highest common factor.
The factors of 5971 are 1, 7, 853, 5971
The factors of 8513 are 1, 8513
The HCF of 5971,8513 is 1.
Lets's calculate GCF of 5971,8513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5971,8513 By Matching Biggest Common Factor Method
Now, list down the factors of 5971
:1,7,853,5971
Now, list down the factors of 8513
:1,8513
Greatest Common Factor
We found the factors 5971,8513 . The biggest common factor number is the GCF number.
So the greatest common factor 5971,8513 is 1.
Lets's calculate LCM of 777,9769
Given numbers has no common factors except 1. So, there LCM is their product i.e 7590513
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7590513
Therefore, the GCF of Fractions 5971/777,8513/9769 is 1/7590513
Least Common Multiple of 777,9769 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 777,9769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,9769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,9769) x common factors =1 x 1 = 1
LCM(777,9769) = ( 777 × 9769 ) / 1
LCM(777,9769) = 7590513 / 1
LCM(777,9769) = 7590513
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5971/777, 8513/9769
1. What is the HCF of 5971,8513?
The HCF of 5971,8513 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 5971/777, 8513/9769?
Answer: GCF of Numerators as per given numbers 5971/777, 8513/9769 is
GCF of Numerators i.e. for 5971,8513 is 1
LCM of denominators i.e. for 777,9769 is 7590513.
Thus, GCF of Fractions is 1/7590513.Finally, GCF of Fractions for 5971/777, 8513/9769 is 1/7590513.