GCF of 5759/822, 7811/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5759/822, 7811/721 i.e 1/592662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5759/822, 7811/721.
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 5759/822,7811/721?
Given fractions are 5759/822,7811/721
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 5759/822,7811/721, numerators are 5759,7811
Denominators are 822,721
The GCF of 5759,7811 is 1 .
LCM of 822,721 is 592662.
The greatest common factor of 5759/822,7811/721 = [GCF of 5759,7811]/[LCM of 822,721]= 1/592662
Therefore, the GCF of 5759/822,7811/721 is 1/592662.
To find the highest common factor of 5759,7811, we have to find the factors of both numbers and list the highest common factor.
The factors of 5759 are 1, 13, 443, 5759
The factors of 7811 are 1, 73, 107, 7811
The HCF of 5759,7811 is 1.
Lets's calculate GCF of 5759,7811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5759,7811 By Matching Biggest Common Factor Method
Now, list down the factors of 5759
:1,13,443,5759
Now, list down the factors of 7811
:1,73,107,7811
Greatest Common Factor
We found the factors 5759,7811 . The biggest common factor number is the GCF number.
So the greatest common factor 5759,7811 is 1.
Lets's calculate LCM of 822,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 592662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/592662
Therefore, the GCF of Fractions 5759/822,7811/721 is 1/592662
Least Common Multiple of 822,721 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 822,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,721) x common factors =1 x 1 = 1
LCM(822,721) = ( 822 × 721 ) / 1
LCM(822,721) = 592662 / 1
LCM(822,721) = 592662
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FAQs on GCF of Fractions of 5759/822, 7811/721
1. What is the HCF of 5759,7811?
The HCF of 5759,7811 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 5759/822, 7811/721?
Answer: GCF of Numerators as per given numbers 5759/822, 7811/721 is
GCF of Numerators i.e. for 5759,7811 is 1
LCM of denominators i.e. for 822,721 is 592662.
Thus, GCF of Fractions is 1/592662.Finally, GCF of Fractions for 5759/822, 7811/721 is 1/592662.