GCF of 2036/694, 4473/7164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2036/694, 4473/7164 i.e 1/2485908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2036/694, 4473/7164.
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 2036/694,4473/7164?
Given fractions are 2036/694,4473/7164
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 2036/694,4473/7164, numerators are 2036,4473
Denominators are 694,7164
The GCF of 2036,4473 is 1 .
LCM of 694,7164 is 2485908.
The greatest common factor of 2036/694,4473/7164 = [GCF of 2036,4473]/[LCM of 694,7164]= 1/2485908
Therefore, the GCF of 2036/694,4473/7164 is 1/2485908.
To find the highest common factor of 2036,4473, we have to find the factors of both numbers and list the highest common factor.
The factors of 2036 are 1, 2, 4, 509, 1018, 2036
The factors of 4473 are 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473
The HCF of 2036,4473 is 1.
Lets's calculate GCF of 2036,4473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2036,4473 By Matching Biggest Common Factor Method
Now, list down the factors of 2036
:1,2,4,509,1018,2036
Now, list down the factors of 4473
:1,3,7,9,21,63,71,213,497,639,1491,4473
Greatest Common Factor
We found the factors 2036,4473 . The biggest common factor number is the GCF number.
So the greatest common factor 2036,4473 is 1.
Lets's calculate LCM of 694,7164
| 2 | 694, 7164 |
| 347, 3582 |
∴ So the LCM of the given numbers is 2 x 347 x 3582 = 2485908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2485908
Therefore, the GCF of Fractions 2036/694,4473/7164 is 1/2485908
Least Common Multiple of 694,7164 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 694,7164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,7164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,7164) x common factors =2 x 1 = 2
LCM(694,7164) = ( 694 × 7164 ) / 2
LCM(694,7164) = 4971816 / 2
LCM(694,7164) = 2485908
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FAQs on GCF of Fractions of 2036/694, 4473/7164
1. What is the HCF of 2036,4473?
The HCF of 2036,4473 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 2036/694, 4473/7164?
Answer: GCF of Numerators as per given numbers 2036/694, 4473/7164 is
GCF of Numerators i.e. for 2036,4473 is 1
LCM of denominators i.e. for 694,7164 is 2485908.
Thus, GCF of Fractions is 1/2485908.Finally, GCF of Fractions for 2036/694, 4473/7164 is 1/2485908.