GCF of 2661/827, 9753/5574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2661/827, 9753/5574 i.e 3/4609698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2661/827, 9753/5574.
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 2661/827,9753/5574?
Given fractions are 2661/827,9753/5574
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 2661/827,9753/5574, numerators are 2661,9753
Denominators are 827,5574
The GCF of 2661,9753 is 3 .
LCM of 827,5574 is 4609698.
The greatest common factor of 2661/827,9753/5574 = [GCF of 2661,9753]/[LCM of 827,5574]= 3/4609698
Therefore, the GCF of 2661/827,9753/5574 is 3/4609698.
To find the highest common factor of 2661,9753, we have to find the factors of both numbers and list the highest common factor.
The factors of 2661 are 1, 3, 887, 2661
The factors of 9753 are 1, 3, 3251, 9753
The HCF of 2661,9753 is 3.
Lets's calculate GCF of 2661,9753
| 3 | 2661, 9753 |
| 887, 3251 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2661,9753 By Matching Biggest Common Factor Method
Now, list down the factors of 2661
:1,3,887,2661
Now, list down the factors of 9753
:1,3,3251,9753
Greatest Common Factor
We found the factors 2661,9753 . The biggest common factor number is the GCF number.
So the greatest common factor 2661,9753 is 3.
Lets's calculate LCM of 827,5574
Given numbers has no common factors except 1. So, there LCM is their product i.e 4609698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4609698
Therefore, the GCF of Fractions 2661/827,9753/5574 is 3/4609698
Least Common Multiple of 827,5574 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 827,5574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,5574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,5574) x common factors =1 x 1 = 1
LCM(827,5574) = ( 827 × 5574 ) / 1
LCM(827,5574) = 4609698 / 1
LCM(827,5574) = 4609698
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FAQs on GCF of Fractions of 2661/827, 9753/5574
1. What is the HCF of 2661,9753?
The HCF of 2661,9753 is 3
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 2661/827, 9753/5574?
Answer: GCF of Numerators as per given numbers 2661/827, 9753/5574 is
GCF of Numerators i.e. for 2661,9753 is 3
LCM of denominators i.e. for 827,5574 is 4609698.
Thus, GCF of Fractions is 3/4609698.Finally, GCF of Fractions for 2661/827, 9753/5574 is 3/4609698.