GCF of 8791/561, 7684/1256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8791/561, 7684/1256 i.e 1/704616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8791/561, 7684/1256.
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 8791/561,7684/1256?
Given fractions are 8791/561,7684/1256
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 8791/561,7684/1256, numerators are 8791,7684
Denominators are 561,1256
The GCF of 8791,7684 is 1 .
LCM of 561,1256 is 704616.
The greatest common factor of 8791/561,7684/1256 = [GCF of 8791,7684]/[LCM of 561,1256]= 1/704616
Therefore, the GCF of 8791/561,7684/1256 is 1/704616.
To find the highest common factor of 8791,7684, we have to find the factors of both numbers and list the highest common factor.
The factors of 8791 are 1, 59, 149, 8791
The factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684
The HCF of 8791,7684 is 1.
Lets's calculate GCF of 8791,7684
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8791,7684 By Matching Biggest Common Factor Method
Now, list down the factors of 8791
:1,59,149,8791
Now, list down the factors of 7684
:1,2,4,17,34,68,113,226,452,1921,3842,7684
Greatest Common Factor
We found the factors 8791,7684 . The biggest common factor number is the GCF number.
So the greatest common factor 8791,7684 is 1.
Lets's calculate LCM of 561,1256
Given numbers has no common factors except 1. So, there LCM is their product i.e 704616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704616
Therefore, the GCF of Fractions 8791/561,7684/1256 is 1/704616
Least Common Multiple of 561,1256 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 561,1256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,1256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,1256) x common factors =1 x 1 = 1
LCM(561,1256) = ( 561 × 1256 ) / 1
LCM(561,1256) = 704616 / 1
LCM(561,1256) = 704616
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FAQs on GCF of Fractions of 8791/561, 7684/1256
1. What is the HCF of 8791,7684?
The HCF of 8791,7684 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 8791/561, 7684/1256?
Answer: GCF of Numerators as per given numbers 8791/561, 7684/1256 is
GCF of Numerators i.e. for 8791,7684 is 1
LCM of denominators i.e. for 561,1256 is 704616.
Thus, GCF of Fractions is 1/704616.Finally, GCF of Fractions for 8791/561, 7684/1256 is 1/704616.