GCF of 727/78, 287/2769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 727/78, 287/2769 i.e 1/5538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/78, 287/2769.
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 727/78,287/2769?
Given fractions are 727/78,287/2769
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 727/78,287/2769, numerators are 727,287
Denominators are 78,2769
The GCF of 727,287 is 1 .
LCM of 78,2769 is 5538.
The greatest common factor of 727/78,287/2769 = [GCF of 727,287]/[LCM of 78,2769]= 1/5538
Therefore, the GCF of 727/78,287/2769 is 1/5538.
To find the highest common factor of 727,287, we have to find the factors of both numbers and list the highest common factor.
The factors of 727 are 1, 727
The factors of 287 are 1, 7, 41, 287
The HCF of 727,287 is 1.
Lets's calculate GCF of 727,287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 727,287 By Matching Biggest Common Factor Method
Now, list down the factors of 727
:1,727
Now, list down the factors of 287
:1,7,41,287
Greatest Common Factor
We found the factors 727,287 . The biggest common factor number is the GCF number.
So the greatest common factor 727,287 is 1.
Lets's calculate LCM of 78,2769
| 3 | 78, 2769 |
| 13 | 26, 923 |
| 2, 71 |
∴ So the LCM of the given numbers is 3 x 13 x 2 x 71 = 5538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5538
Therefore, the GCF of Fractions 727/78,287/2769 is 1/5538
Least Common Multiple of 78,2769 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 78,2769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,2769) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(78,2769) x common factors =39 x 1 = 39
LCM(78,2769) = ( 78 × 2769 ) / 39
LCM(78,2769) = 215982 / 39
LCM(78,2769) = 5538
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FAQs on GCF of Fractions of 727/78, 287/2769
1. What is the HCF of 727,287?
The HCF of 727,287 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 727/78, 287/2769?
Answer: GCF of Numerators as per given numbers 727/78, 287/2769 is
GCF of Numerators i.e. for 727,287 is 1
LCM of denominators i.e. for 78,2769 is 5538.
Thus, GCF of Fractions is 1/5538.Finally, GCF of Fractions for 727/78, 287/2769 is 1/5538.