GCF of 211/44, 653/860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 211/44, 653/860 i.e 1/9460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/44, 653/860.
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 211/44,653/860?
Given fractions are 211/44,653/860
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 211/44,653/860, numerators are 211,653
Denominators are 44,860
The GCF of 211,653 is 1 .
LCM of 44,860 is 9460.
The greatest common factor of 211/44,653/860 = [GCF of 211,653]/[LCM of 44,860]= 1/9460
Therefore, the GCF of 211/44,653/860 is 1/9460.
To find the highest common factor of 211,653, 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 653 are 1, 653
The HCF of 211,653 is 1.
Lets's calculate GCF of 211,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 211,653 By Matching Biggest Common Factor Method
Now, list down the factors of 211
:1,211
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 211,653 . The biggest common factor number is the GCF number.
So the greatest common factor 211,653 is 1.
Lets's calculate LCM of 44,860
| 2 | 44, 860 |
| 2 | 22, 430 |
| 11, 215 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 215 = 9460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9460
Therefore, the GCF of Fractions 211/44,653/860 is 1/9460
Least Common Multiple of 44,860 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 44,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,860) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(44,860) x common factors =4 x 1 = 4
LCM(44,860) = ( 44 × 860 ) / 4
LCM(44,860) = 37840 / 4
LCM(44,860) = 9460
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FAQs on GCF of Fractions of 211/44, 653/860
1. What is the HCF of 211,653?
The HCF of 211,653 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 211/44, 653/860?
Answer: GCF of Numerators as per given numbers 211/44, 653/860 is
GCF of Numerators i.e. for 211,653 is 1
LCM of denominators i.e. for 44,860 is 9460.
Thus, GCF of Fractions is 1/9460.Finally, GCF of Fractions for 211/44, 653/860 is 1/9460.