GCF of 5331/423, 7796/5436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5331/423, 7796/5436 i.e 1/255492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5331/423, 7796/5436.
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 5331/423,7796/5436?
Given fractions are 5331/423,7796/5436
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 5331/423,7796/5436, numerators are 5331,7796
Denominators are 423,5436
The GCF of 5331,7796 is 1 .
LCM of 423,5436 is 255492.
The greatest common factor of 5331/423,7796/5436 = [GCF of 5331,7796]/[LCM of 423,5436]= 1/255492
Therefore, the GCF of 5331/423,7796/5436 is 1/255492.
To find the highest common factor of 5331,7796, we have to find the factors of both numbers and list the highest common factor.
The factors of 5331 are 1, 3, 1777, 5331
The factors of 7796 are 1, 2, 4, 1949, 3898, 7796
The HCF of 5331,7796 is 1.
Lets's calculate GCF of 5331,7796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5331,7796 By Matching Biggest Common Factor Method
Now, list down the factors of 5331
:1,3,1777,5331
Now, list down the factors of 7796
:1,2,4,1949,3898,7796
Greatest Common Factor
We found the factors 5331,7796 . The biggest common factor number is the GCF number.
So the greatest common factor 5331,7796 is 1.
Lets's calculate LCM of 423,5436
| 3 | 423, 5436 |
| 3 | 141, 1812 |
| 47, 604 |
∴ So the LCM of the given numbers is 3 x 3 x 47 x 604 = 255492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255492
Therefore, the GCF of Fractions 5331/423,7796/5436 is 1/255492
Least Common Multiple of 423,5436 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 423,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,5436) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(423,5436) x common factors =9 x 1 = 9
LCM(423,5436) = ( 423 × 5436 ) / 9
LCM(423,5436) = 2299428 / 9
LCM(423,5436) = 255492
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FAQs on GCF of Fractions of 5331/423, 7796/5436
1. What is the HCF of 5331,7796?
The HCF of 5331,7796 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 5331/423, 7796/5436?
Answer: GCF of Numerators as per given numbers 5331/423, 7796/5436 is
GCF of Numerators i.e. for 5331,7796 is 1
LCM of denominators i.e. for 423,5436 is 255492.
Thus, GCF of Fractions is 1/255492.Finally, GCF of Fractions for 5331/423, 7796/5436 is 1/255492.