GCF of 211/74, 622/5735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 211/74, 622/5735 i.e 1/11470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/74, 622/5735.
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 211/74,622/5735?
Given fractions are 211/74,622/5735
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 211/74,622/5735, numerators are 211,622
Denominators are 74,5735
The GCF of 211,622 is 1 .
LCM of 74,5735 is 11470.
The greatest common factor of 211/74,622/5735 = [GCF of 211,622]/[LCM of 74,5735]= 1/11470
Therefore, the GCF of 211/74,622/5735 is 1/11470.
To find the highest common factor of 211,622, 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 622 are 1, 2, 311, 622
The HCF of 211,622 is 1.
Lets's calculate GCF of 211,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 211,622 By Matching Biggest Common Factor Method
Now, list down the factors of 211
:1,211
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 211,622 . The biggest common factor number is the GCF number.
So the greatest common factor 211,622 is 1.
Lets's calculate LCM of 74,5735
| 37 | 74, 5735 |
| 2, 155 |
∴ So the LCM of the given numbers is 37 x 2 x 155 = 11470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11470
Therefore, the GCF of Fractions 211/74,622/5735 is 1/11470
Least Common Multiple of 74,5735 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 74,5735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,5735) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(74,5735) x common factors =37 x 1 = 37
LCM(74,5735) = ( 74 × 5735 ) / 37
LCM(74,5735) = 424390 / 37
LCM(74,5735) = 11470
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FAQs on GCF of Fractions of 211/74, 622/5735
1. What is the HCF of 211,622?
The HCF of 211,622 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 211/74, 622/5735?
Answer: GCF of Numerators as per given numbers 211/74, 622/5735 is
GCF of Numerators i.e. for 211,622 is 1
LCM of denominators i.e. for 74,5735 is 11470.
Thus, GCF of Fractions is 1/11470.Finally, GCF of Fractions for 211/74, 622/5735 is 1/11470.