GCF of 5366/171, 6826/3522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5366/171, 6826/3522 i.e 2/200754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5366/171, 6826/3522.
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 5366/171,6826/3522?
Given fractions are 5366/171,6826/3522
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 5366/171,6826/3522, numerators are 5366,6826
Denominators are 171,3522
The GCF of 5366,6826 is 2 .
LCM of 171,3522 is 200754.
The greatest common factor of 5366/171,6826/3522 = [GCF of 5366,6826]/[LCM of 171,3522]= 2/200754
Therefore, the GCF of 5366/171,6826/3522 is 2/200754.
To find the highest common factor of 5366,6826, we have to find the factors of both numbers and list the highest common factor.
The factors of 5366 are 1, 2, 2683, 5366
The factors of 6826 are 1, 2, 3413, 6826
The HCF of 5366,6826 is 2.
Lets's calculate GCF of 5366,6826
| 2 | 5366, 6826 |
| 2683, 3413 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5366,6826 By Matching Biggest Common Factor Method
Now, list down the factors of 5366
:1,2,2683,5366
Now, list down the factors of 6826
:1,2,3413,6826
Greatest Common Factor
We found the factors 5366,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 5366,6826 is 2.
Lets's calculate LCM of 171,3522
| 3 | 171, 3522 |
| 57, 1174 |
∴ So the LCM of the given numbers is 3 x 57 x 1174 = 200754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/200754
Therefore, the GCF of Fractions 5366/171,6826/3522 is 2/200754
Least Common Multiple of 171,3522 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 171,3522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,3522) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,3522) x common factors =3 x 1 = 3
LCM(171,3522) = ( 171 × 3522 ) / 3
LCM(171,3522) = 602262 / 3
LCM(171,3522) = 200754
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FAQs on GCF of Fractions of 5366/171, 6826/3522
1. What is the HCF of 5366,6826?
The HCF of 5366,6826 is 2
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 5366/171, 6826/3522?
Answer: GCF of Numerators as per given numbers 5366/171, 6826/3522 is
GCF of Numerators i.e. for 5366,6826 is 2
LCM of denominators i.e. for 171,3522 is 200754.
Thus, GCF of Fractions is 2/200754.Finally, GCF of Fractions for 5366/171, 6826/3522 is 2/200754.