GCF of 351/54, 841/5156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 351/54, 841/5156 i.e 1/139212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 351/54, 841/5156.
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 351/54,841/5156?
Given fractions are 351/54,841/5156
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 351/54,841/5156, numerators are 351,841
Denominators are 54,5156
The GCF of 351,841 is 1 .
LCM of 54,5156 is 139212.
The greatest common factor of 351/54,841/5156 = [GCF of 351,841]/[LCM of 54,5156]= 1/139212
Therefore, the GCF of 351/54,841/5156 is 1/139212.
To find the highest common factor of 351,841, we have to find the factors of both numbers and list the highest common factor.
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The factors of 841 are 1, 29, 841
The HCF of 351,841 is 1.
Lets's calculate GCF of 351,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 351,841 By Matching Biggest Common Factor Method
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Now, list down the factors of 841
:1,29,841
Greatest Common Factor
We found the factors 351,841 . The biggest common factor number is the GCF number.
So the greatest common factor 351,841 is 1.
Lets's calculate LCM of 54,5156
| 2 | 54, 5156 |
| 27, 2578 |
∴ So the LCM of the given numbers is 2 x 27 x 2578 = 139212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139212
Therefore, the GCF of Fractions 351/54,841/5156 is 1/139212
Least Common Multiple of 54,5156 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 54,5156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,5156) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,5156) x common factors =2 x 1 = 2
LCM(54,5156) = ( 54 × 5156 ) / 2
LCM(54,5156) = 278424 / 2
LCM(54,5156) = 139212
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FAQs on GCF of Fractions of 351/54, 841/5156
1. What is the HCF of 351,841?
The HCF of 351,841 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 351/54, 841/5156?
Answer: GCF of Numerators as per given numbers 351/54, 841/5156 is
GCF of Numerators i.e. for 351,841 is 1
LCM of denominators i.e. for 54,5156 is 139212.
Thus, GCF of Fractions is 1/139212.Finally, GCF of Fractions for 351/54, 841/5156 is 1/139212.