GCF of 1642/540, 2127/9788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1642/540, 2127/9788 i.e 1/1321380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1642/540, 2127/9788.
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 1642/540,2127/9788?
Given fractions are 1642/540,2127/9788
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 1642/540,2127/9788, numerators are 1642,2127
Denominators are 540,9788
The GCF of 1642,2127 is 1 .
LCM of 540,9788 is 1321380.
The greatest common factor of 1642/540,2127/9788 = [GCF of 1642,2127]/[LCM of 540,9788]= 1/1321380
Therefore, the GCF of 1642/540,2127/9788 is 1/1321380.
To find the highest common factor of 1642,2127, we have to find the factors of both numbers and list the highest common factor.
The factors of 1642 are 1, 2, 821, 1642
The factors of 2127 are 1, 3, 709, 2127
The HCF of 1642,2127 is 1.
Lets's calculate GCF of 1642,2127
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1642,2127 By Matching Biggest Common Factor Method
Now, list down the factors of 1642
:1,2,821,1642
Now, list down the factors of 2127
:1,3,709,2127
Greatest Common Factor
We found the factors 1642,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 1642,2127 is 1.
Lets's calculate LCM of 540,9788
| 2 | 540, 9788 |
| 2 | 270, 4894 |
| 135, 2447 |
∴ So the LCM of the given numbers is 2 x 2 x 135 x 2447 = 1321380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1321380
Therefore, the GCF of Fractions 1642/540,2127/9788 is 1/1321380
Least Common Multiple of 540,9788 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 540,9788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,9788) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(540,9788) x common factors =4 x 1 = 4
LCM(540,9788) = ( 540 × 9788 ) / 4
LCM(540,9788) = 5285520 / 4
LCM(540,9788) = 1321380
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FAQs on GCF of Fractions of 1642/540, 2127/9788
1. What is the HCF of 1642,2127?
The HCF of 1642,2127 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 1642/540, 2127/9788?
Answer: GCF of Numerators as per given numbers 1642/540, 2127/9788 is
GCF of Numerators i.e. for 1642,2127 is 1
LCM of denominators i.e. for 540,9788 is 1321380.
Thus, GCF of Fractions is 1/1321380.Finally, GCF of Fractions for 1642/540, 2127/9788 is 1/1321380.