GCF of 3473/522, 2636/8656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3473/522, 2636/8656 i.e 1/2259216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3473/522, 2636/8656.
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 3473/522,2636/8656?
Given fractions are 3473/522,2636/8656
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 3473/522,2636/8656, numerators are 3473,2636
Denominators are 522,8656
The GCF of 3473,2636 is 1 .
LCM of 522,8656 is 2259216.
The greatest common factor of 3473/522,2636/8656 = [GCF of 3473,2636]/[LCM of 522,8656]= 1/2259216
Therefore, the GCF of 3473/522,2636/8656 is 1/2259216.
To find the highest common factor of 3473,2636, we have to find the factors of both numbers and list the highest common factor.
The factors of 3473 are 1, 23, 151, 3473
The factors of 2636 are 1, 2, 4, 659, 1318, 2636
The HCF of 3473,2636 is 1.
Lets's calculate GCF of 3473,2636
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3473,2636 By Matching Biggest Common Factor Method
Now, list down the factors of 3473
:1,23,151,3473
Now, list down the factors of 2636
:1,2,4,659,1318,2636
Greatest Common Factor
We found the factors 3473,2636 . The biggest common factor number is the GCF number.
So the greatest common factor 3473,2636 is 1.
Lets's calculate LCM of 522,8656
| 2 | 522, 8656 |
| 261, 4328 |
∴ So the LCM of the given numbers is 2 x 261 x 4328 = 2259216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2259216
Therefore, the GCF of Fractions 3473/522,2636/8656 is 1/2259216
Least Common Multiple of 522,8656 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 522,8656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,8656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,8656) x common factors =2 x 1 = 2
LCM(522,8656) = ( 522 × 8656 ) / 2
LCM(522,8656) = 4518432 / 2
LCM(522,8656) = 2259216
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FAQs on GCF of Fractions of 3473/522, 2636/8656
1. What is the HCF of 3473,2636?
The HCF of 3473,2636 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 3473/522, 2636/8656?
Answer: GCF of Numerators as per given numbers 3473/522, 2636/8656 is
GCF of Numerators i.e. for 3473,2636 is 1
LCM of denominators i.e. for 522,8656 is 2259216.
Thus, GCF of Fractions is 1/2259216.Finally, GCF of Fractions for 3473/522, 2636/8656 is 1/2259216.