GCF of 211/603, 5685/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 211/603, 5685/867 i.e 1/174267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/603, 5685/867.
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 211/603,5685/867?
Given fractions are 211/603,5685/867
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 211/603,5685/867, numerators are 211,5685
Denominators are 603,867
The GCF of 211,5685 is 1 .
LCM of 603,867 is 174267.
The greatest common factor of 211/603,5685/867 = [GCF of 211,5685]/[LCM of 603,867]= 1/174267
Therefore, the GCF of 211/603,5685/867 is 1/174267.
To find the highest common factor of 211,5685, we have to find the factors of both numbers and list the highest common factor.
The factors of 211 are 1, 211
The factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685
The HCF of 211,5685 is 1.
Lets's calculate GCF of 211,5685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 211,5685 By Matching Biggest Common Factor Method
Now, list down the factors of 211
:1,211
Now, list down the factors of 5685
:1,3,5,15,379,1137,1895,5685
Greatest Common Factor
We found the factors 211,5685 . The biggest common factor number is the GCF number.
So the greatest common factor 211,5685 is 1.
Lets's calculate LCM of 603,867
| 3 | 603, 867 |
| 201, 289 |
∴ So the LCM of the given numbers is 3 x 201 x 289 = 174267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174267
Therefore, the GCF of Fractions 211/603,5685/867 is 1/174267
Least Common Multiple of 603,867 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 603,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,867) x common factors =3 x 1 = 3
LCM(603,867) = ( 603 × 867 ) / 3
LCM(603,867) = 522801 / 3
LCM(603,867) = 174267
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FAQs on GCF of Fractions of 211/603, 5685/867
1. What is the HCF of 211,5685?
The HCF of 211,5685 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 211/603, 5685/867?
Answer: GCF of Numerators as per given numbers 211/603, 5685/867 is
GCF of Numerators i.e. for 211,5685 is 1
LCM of denominators i.e. for 603,867 is 174267.
Thus, GCF of Fractions is 1/174267.Finally, GCF of Fractions for 211/603, 5685/867 is 1/174267.