GCF of 5221/301, 6854/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5221/301, 6854/294 i.e 23/12642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5221/301, 6854/294.
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 5221/301,6854/294?
Given fractions are 5221/301,6854/294
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 5221/301,6854/294, numerators are 5221,6854
Denominators are 301,294
The GCF of 5221,6854 is 23 .
LCM of 301,294 is 12642.
The greatest common factor of 5221/301,6854/294 = [GCF of 5221,6854]/[LCM of 301,294]= 23/12642
Therefore, the GCF of 5221/301,6854/294 is 23/12642.
To find the highest common factor of 5221,6854, we have to find the factors of both numbers and list the highest common factor.
The factors of 5221 are 1, 23, 227, 5221
The factors of 6854 are 1, 2, 23, 46, 149, 298, 3427, 6854
The HCF of 5221,6854 is 23.
Lets's calculate GCF of 5221,6854
| 23 | 5221, 6854 |
| 227, 298 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 5221,6854 By Matching Biggest Common Factor Method
Now, list down the factors of 5221
:1,23,227,5221
Now, list down the factors of 6854
:1,2,23,46,149,298,3427,6854
Greatest Common Factor
We found the factors 5221,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 5221,6854 is 23.
Lets's calculate LCM of 301,294
| 7 | 301, 294 |
| 43, 42 |
∴ So the LCM of the given numbers is 7 x 43 x 42 = 12642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/12642
Therefore, the GCF of Fractions 5221/301,6854/294 is 23/12642
Least Common Multiple of 301,294 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 301,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,294) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(301,294) x common factors =7 x 1 = 7
LCM(301,294) = ( 301 × 294 ) / 7
LCM(301,294) = 88494 / 7
LCM(301,294) = 12642
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FAQs on GCF of Fractions of 5221/301, 6854/294
1. What is the HCF of 5221,6854?
The HCF of 5221,6854 is 23
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 5221/301, 6854/294?
Answer: GCF of Numerators as per given numbers 5221/301, 6854/294 is
GCF of Numerators i.e. for 5221,6854 is 23
LCM of denominators i.e. for 301,294 is 12642.
Thus, GCF of Fractions is 23/12642.Finally, GCF of Fractions for 5221/301, 6854/294 is 23/12642.