GCF of 9777/491, 5780/733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9777/491, 5780/733 i.e 1/359903 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9777/491, 5780/733.
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 9777/491,5780/733?
Given fractions are 9777/491,5780/733
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 9777/491,5780/733, numerators are 9777,5780
Denominators are 491,733
The GCF of 9777,5780 is 1 .
LCM of 491,733 is 359903.
The greatest common factor of 9777/491,5780/733 = [GCF of 9777,5780]/[LCM of 491,733]= 1/359903
Therefore, the GCF of 9777/491,5780/733 is 1/359903.
To find the highest common factor of 9777,5780, we have to find the factors of both numbers and list the highest common factor.
The factors of 9777 are 1, 3, 3259, 9777
The factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
The HCF of 9777,5780 is 1.
Lets's calculate GCF of 9777,5780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9777,5780 By Matching Biggest Common Factor Method
Now, list down the factors of 9777
:1,3,3259,9777
Now, list down the factors of 5780
:1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Greatest Common Factor
We found the factors 9777,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 9777,5780 is 1.
Lets's calculate LCM of 491,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 359903
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359903
Therefore, the GCF of Fractions 9777/491,5780/733 is 1/359903
Least Common Multiple of 491,733 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 491,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,733) x common factors =1 x 1 = 1
LCM(491,733) = ( 491 × 733 ) / 1
LCM(491,733) = 359903 / 1
LCM(491,733) = 359903
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FAQs on GCF of Fractions of 9777/491, 5780/733
1. What is the HCF of 9777,5780?
The HCF of 9777,5780 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 9777/491, 5780/733?
Answer: GCF of Numerators as per given numbers 9777/491, 5780/733 is
GCF of Numerators i.e. for 9777,5780 is 1
LCM of denominators i.e. for 491,733 is 359903.
Thus, GCF of Fractions is 1/359903.Finally, GCF of Fractions for 9777/491, 5780/733 is 1/359903.