GCF of 3521/256, 5164/8586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3521/256, 5164/8586 i.e 1/1099008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3521/256, 5164/8586.
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 3521/256,5164/8586?
Given fractions are 3521/256,5164/8586
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 3521/256,5164/8586, numerators are 3521,5164
Denominators are 256,8586
The GCF of 3521,5164 is 1 .
LCM of 256,8586 is 1099008.
The greatest common factor of 3521/256,5164/8586 = [GCF of 3521,5164]/[LCM of 256,8586]= 1/1099008
Therefore, the GCF of 3521/256,5164/8586 is 1/1099008.
To find the highest common factor of 3521,5164, we have to find the factors of both numbers and list the highest common factor.
The factors of 3521 are 1, 7, 503, 3521
The factors of 5164 are 1, 2, 4, 1291, 2582, 5164
The HCF of 3521,5164 is 1.
Lets's calculate GCF of 3521,5164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3521,5164 By Matching Biggest Common Factor Method
Now, list down the factors of 3521
:1,7,503,3521
Now, list down the factors of 5164
:1,2,4,1291,2582,5164
Greatest Common Factor
We found the factors 3521,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 3521,5164 is 1.
Lets's calculate LCM of 256,8586
| 2 | 256, 8586 |
| 128, 4293 |
∴ So the LCM of the given numbers is 2 x 128 x 4293 = 1099008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1099008
Therefore, the GCF of Fractions 3521/256,5164/8586 is 1/1099008
Least Common Multiple of 256,8586 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 256,8586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,8586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,8586) x common factors =2 x 1 = 2
LCM(256,8586) = ( 256 × 8586 ) / 2
LCM(256,8586) = 2198016 / 2
LCM(256,8586) = 1099008
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FAQs on GCF of Fractions of 3521/256, 5164/8586
1. What is the HCF of 3521,5164?
The HCF of 3521,5164 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 3521/256, 5164/8586?
Answer: GCF of Numerators as per given numbers 3521/256, 5164/8586 is
GCF of Numerators i.e. for 3521,5164 is 1
LCM of denominators i.e. for 256,8586 is 1099008.
Thus, GCF of Fractions is 1/1099008.Finally, GCF of Fractions for 3521/256, 5164/8586 is 1/1099008.