GCF of 8552/706, 1364/3761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8552/706, 1364/3761 i.e 4/2655266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8552/706, 1364/3761.
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 8552/706,1364/3761?
Given fractions are 8552/706,1364/3761
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 8552/706,1364/3761, numerators are 8552,1364
Denominators are 706,3761
The GCF of 8552,1364 is 4 .
LCM of 706,3761 is 2655266.
The greatest common factor of 8552/706,1364/3761 = [GCF of 8552,1364]/[LCM of 706,3761]= 4/2655266
Therefore, the GCF of 8552/706,1364/3761 is 4/2655266.
To find the highest common factor of 8552,1364, we have to find the factors of both numbers and list the highest common factor.
The factors of 8552 are 1, 2, 4, 8, 1069, 2138, 4276, 8552
The factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364
The HCF of 8552,1364 is 4.
Lets's calculate GCF of 8552,1364
| 2 | 8552, 1364 |
| 2 | 4276, 682 |
| 2138, 341 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8552,1364 By Matching Biggest Common Factor Method
Now, list down the factors of 8552
:1,2,4,8,1069,2138,4276,8552
Now, list down the factors of 1364
:1,2,4,11,22,31,44,62,124,341,682,1364
Greatest Common Factor
We found the factors 8552,1364 . The biggest common factor number is the GCF number.
So the greatest common factor 8552,1364 is 4.
Lets's calculate LCM of 706,3761
Given numbers has no common factors except 1. So, there LCM is their product i.e 2655266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2655266
Therefore, the GCF of Fractions 8552/706,1364/3761 is 4/2655266
Least Common Multiple of 706,3761 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 706,3761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,3761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,3761) x common factors =1 x 1 = 1
LCM(706,3761) = ( 706 × 3761 ) / 1
LCM(706,3761) = 2655266 / 1
LCM(706,3761) = 2655266
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FAQs on GCF of Fractions of 8552/706, 1364/3761
1. What is the HCF of 8552,1364?
The HCF of 8552,1364 is 4
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 8552/706, 1364/3761?
Answer: GCF of Numerators as per given numbers 8552/706, 1364/3761 is
GCF of Numerators i.e. for 8552,1364 is 4
LCM of denominators i.e. for 706,3761 is 2655266.
Thus, GCF of Fractions is 4/2655266.Finally, GCF of Fractions for 8552/706, 1364/3761 is 4/2655266.