GCF of 1797/635, 4532/2845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1797/635, 4532/2845 i.e 1/361315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1797/635, 4532/2845.
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 1797/635,4532/2845?
Given fractions are 1797/635,4532/2845
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 1797/635,4532/2845, numerators are 1797,4532
Denominators are 635,2845
The GCF of 1797,4532 is 1 .
LCM of 635,2845 is 361315.
The greatest common factor of 1797/635,4532/2845 = [GCF of 1797,4532]/[LCM of 635,2845]= 1/361315
Therefore, the GCF of 1797/635,4532/2845 is 1/361315.
To find the highest common factor of 1797,4532, we have to find the factors of both numbers and list the highest common factor.
The factors of 1797 are 1, 3, 599, 1797
The factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532
The HCF of 1797,4532 is 1.
Lets's calculate GCF of 1797,4532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1797,4532 By Matching Biggest Common Factor Method
Now, list down the factors of 1797
:1,3,599,1797
Now, list down the factors of 4532
:1,2,4,11,22,44,103,206,412,1133,2266,4532
Greatest Common Factor
We found the factors 1797,4532 . The biggest common factor number is the GCF number.
So the greatest common factor 1797,4532 is 1.
Lets's calculate LCM of 635,2845
| 5 | 635, 2845 |
| 127, 569 |
∴ So the LCM of the given numbers is 5 x 127 x 569 = 361315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361315
Therefore, the GCF of Fractions 1797/635,4532/2845 is 1/361315
Least Common Multiple of 635,2845 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 635,2845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,2845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(635,2845) x common factors =5 x 1 = 5
LCM(635,2845) = ( 635 × 2845 ) / 5
LCM(635,2845) = 1806575 / 5
LCM(635,2845) = 361315
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FAQs on GCF of Fractions of 1797/635, 4532/2845
1. What is the HCF of 1797,4532?
The HCF of 1797,4532 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 1797/635, 4532/2845?
Answer: GCF of Numerators as per given numbers 1797/635, 4532/2845 is
GCF of Numerators i.e. for 1797,4532 is 1
LCM of denominators i.e. for 635,2845 is 361315.
Thus, GCF of Fractions is 1/361315.Finally, GCF of Fractions for 1797/635, 4532/2845 is 1/361315.