GCF of 5371/538, 1796/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5371/538, 1796/114 i.e 1/30666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5371/538, 1796/114.
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 5371/538,1796/114?
Given fractions are 5371/538,1796/114
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 5371/538,1796/114, numerators are 5371,1796
Denominators are 538,114
The GCF of 5371,1796 is 1 .
LCM of 538,114 is 30666.
The greatest common factor of 5371/538,1796/114 = [GCF of 5371,1796]/[LCM of 538,114]= 1/30666
Therefore, the GCF of 5371/538,1796/114 is 1/30666.
To find the highest common factor of 5371,1796, we have to find the factors of both numbers and list the highest common factor.
The factors of 5371 are 1, 41, 131, 5371
The factors of 1796 are 1, 2, 4, 449, 898, 1796
The HCF of 5371,1796 is 1.
Lets's calculate GCF of 5371,1796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5371,1796 By Matching Biggest Common Factor Method
Now, list down the factors of 5371
:1,41,131,5371
Now, list down the factors of 1796
:1,2,4,449,898,1796
Greatest Common Factor
We found the factors 5371,1796 . The biggest common factor number is the GCF number.
So the greatest common factor 5371,1796 is 1.
Lets's calculate LCM of 538,114
| 2 | 538, 114 |
| 269, 57 |
∴ So the LCM of the given numbers is 2 x 269 x 57 = 30666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30666
Therefore, the GCF of Fractions 5371/538,1796/114 is 1/30666
Least Common Multiple of 538,114 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 538,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,114) x common factors =2 x 1 = 2
LCM(538,114) = ( 538 × 114 ) / 2
LCM(538,114) = 61332 / 2
LCM(538,114) = 30666
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FAQs on GCF of Fractions of 5371/538, 1796/114
1. What is the HCF of 5371,1796?
The HCF of 5371,1796 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 5371/538, 1796/114?
Answer: GCF of Numerators as per given numbers 5371/538, 1796/114 is
GCF of Numerators i.e. for 5371,1796 is 1
LCM of denominators i.e. for 538,114 is 30666.
Thus, GCF of Fractions is 1/30666.Finally, GCF of Fractions for 5371/538, 1796/114 is 1/30666.