GCF of 5356/861, 5653/1212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5356/861, 5653/1212 i.e 1/347844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5356/861, 5653/1212.
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 5356/861,5653/1212?
Given fractions are 5356/861,5653/1212
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 5356/861,5653/1212, numerators are 5356,5653
Denominators are 861,1212
The GCF of 5356,5653 is 1 .
LCM of 861,1212 is 347844.
The greatest common factor of 5356/861,5653/1212 = [GCF of 5356,5653]/[LCM of 861,1212]= 1/347844
Therefore, the GCF of 5356/861,5653/1212 is 1/347844.
To find the highest common factor of 5356,5653, we have to find the factors of both numbers and list the highest common factor.
The factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356
The factors of 5653 are 1, 5653
The HCF of 5356,5653 is 1.
Lets's calculate GCF of 5356,5653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5356,5653 By Matching Biggest Common Factor Method
Now, list down the factors of 5356
:1,2,4,13,26,52,103,206,412,1339,2678,5356
Now, list down the factors of 5653
:1,5653
Greatest Common Factor
We found the factors 5356,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 5356,5653 is 1.
Lets's calculate LCM of 861,1212
| 3 | 861, 1212 |
| 287, 404 |
∴ So the LCM of the given numbers is 3 x 287 x 404 = 347844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347844
Therefore, the GCF of Fractions 5356/861,5653/1212 is 1/347844
Least Common Multiple of 861,1212 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 861,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,1212) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,1212) x common factors =3 x 1 = 3
LCM(861,1212) = ( 861 × 1212 ) / 3
LCM(861,1212) = 1043532 / 3
LCM(861,1212) = 347844
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FAQs on GCF of Fractions of 5356/861, 5653/1212
1. What is the HCF of 5356,5653?
The HCF of 5356,5653 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 5356/861, 5653/1212?
Answer: GCF of Numerators as per given numbers 5356/861, 5653/1212 is
GCF of Numerators i.e. for 5356,5653 is 1
LCM of denominators i.e. for 861,1212 is 347844.
Thus, GCF of Fractions is 1/347844.Finally, GCF of Fractions for 5356/861, 5653/1212 is 1/347844.