GCF of 6211/159, 5749/5208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6211/159, 5749/5208 i.e 1/276024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6211/159, 5749/5208.
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 6211/159,5749/5208?
Given fractions are 6211/159,5749/5208
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 6211/159,5749/5208, numerators are 6211,5749
Denominators are 159,5208
The GCF of 6211,5749 is 1 .
LCM of 159,5208 is 276024.
The greatest common factor of 6211/159,5749/5208 = [GCF of 6211,5749]/[LCM of 159,5208]= 1/276024
Therefore, the GCF of 6211/159,5749/5208 is 1/276024.
To find the highest common factor of 6211,5749, we have to find the factors of both numbers and list the highest common factor.
The factors of 6211 are 1, 6211
The factors of 5749 are 1, 5749
The HCF of 6211,5749 is 1.
Lets's calculate GCF of 6211,5749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6211,5749 By Matching Biggest Common Factor Method
Now, list down the factors of 6211
:1,6211
Now, list down the factors of 5749
:1,5749
Greatest Common Factor
We found the factors 6211,5749 . The biggest common factor number is the GCF number.
So the greatest common factor 6211,5749 is 1.
Lets's calculate LCM of 159,5208
| 3 | 159, 5208 |
| 53, 1736 |
∴ So the LCM of the given numbers is 3 x 53 x 1736 = 276024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276024
Therefore, the GCF of Fractions 6211/159,5749/5208 is 1/276024
Least Common Multiple of 159,5208 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 159,5208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,5208) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,5208) x common factors =3 x 1 = 3
LCM(159,5208) = ( 159 × 5208 ) / 3
LCM(159,5208) = 828072 / 3
LCM(159,5208) = 276024
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FAQs on GCF of Fractions of 6211/159, 5749/5208
1. What is the HCF of 6211,5749?
The HCF of 6211,5749 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 6211/159, 5749/5208?
Answer: GCF of Numerators as per given numbers 6211/159, 5749/5208 is
GCF of Numerators i.e. for 6211,5749 is 1
LCM of denominators i.e. for 159,5208 is 276024.
Thus, GCF of Fractions is 1/276024.Finally, GCF of Fractions for 6211/159, 5749/5208 is 1/276024.