GCF of 3826/536, 5357/3492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3826/536, 5357/3492 i.e 1/467928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3826/536, 5357/3492.
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 3826/536,5357/3492?
Given fractions are 3826/536,5357/3492
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 3826/536,5357/3492, numerators are 3826,5357
Denominators are 536,3492
The GCF of 3826,5357 is 1 .
LCM of 536,3492 is 467928.
The greatest common factor of 3826/536,5357/3492 = [GCF of 3826,5357]/[LCM of 536,3492]= 1/467928
Therefore, the GCF of 3826/536,5357/3492 is 1/467928.
To find the highest common factor of 3826,5357, we have to find the factors of both numbers and list the highest common factor.
The factors of 3826 are 1, 2, 1913, 3826
The factors of 5357 are 1, 11, 487, 5357
The HCF of 3826,5357 is 1.
Lets's calculate GCF of 3826,5357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3826,5357 By Matching Biggest Common Factor Method
Now, list down the factors of 3826
:1,2,1913,3826
Now, list down the factors of 5357
:1,11,487,5357
Greatest Common Factor
We found the factors 3826,5357 . The biggest common factor number is the GCF number.
So the greatest common factor 3826,5357 is 1.
Lets's calculate LCM of 536,3492
| 2 | 536, 3492 |
| 2 | 268, 1746 |
| 134, 873 |
∴ So the LCM of the given numbers is 2 x 2 x 134 x 873 = 467928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467928
Therefore, the GCF of Fractions 3826/536,5357/3492 is 1/467928
Least Common Multiple of 536,3492 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 536,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,3492) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(536,3492) x common factors =4 x 1 = 4
LCM(536,3492) = ( 536 × 3492 ) / 4
LCM(536,3492) = 1871712 / 4
LCM(536,3492) = 467928
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FAQs on GCF of Fractions of 3826/536, 5357/3492
1. What is the HCF of 3826,5357?
The HCF of 3826,5357 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 3826/536, 5357/3492?
Answer: GCF of Numerators as per given numbers 3826/536, 5357/3492 is
GCF of Numerators i.e. for 3826,5357 is 1
LCM of denominators i.e. for 536,3492 is 467928.
Thus, GCF of Fractions is 1/467928.Finally, GCF of Fractions for 3826/536, 5357/3492 is 1/467928.