GCF of 2631/420, 1942/8289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2631/420, 1942/8289 i.e 1/1160460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2631/420, 1942/8289.
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 2631/420,1942/8289?
Given fractions are 2631/420,1942/8289
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 2631/420,1942/8289, numerators are 2631,1942
Denominators are 420,8289
The GCF of 2631,1942 is 1 .
LCM of 420,8289 is 1160460.
The greatest common factor of 2631/420,1942/8289 = [GCF of 2631,1942]/[LCM of 420,8289]= 1/1160460
Therefore, the GCF of 2631/420,1942/8289 is 1/1160460.
To find the highest common factor of 2631,1942, we have to find the factors of both numbers and list the highest common factor.
The factors of 2631 are 1, 3, 877, 2631
The factors of 1942 are 1, 2, 971, 1942
The HCF of 2631,1942 is 1.
Lets's calculate GCF of 2631,1942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2631,1942 By Matching Biggest Common Factor Method
Now, list down the factors of 2631
:1,3,877,2631
Now, list down the factors of 1942
:1,2,971,1942
Greatest Common Factor
We found the factors 2631,1942 . The biggest common factor number is the GCF number.
So the greatest common factor 2631,1942 is 1.
Lets's calculate LCM of 420,8289
| 3 | 420, 8289 |
| 140, 2763 |
∴ So the LCM of the given numbers is 3 x 140 x 2763 = 1160460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1160460
Therefore, the GCF of Fractions 2631/420,1942/8289 is 1/1160460
Least Common Multiple of 420,8289 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 420,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,8289) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,8289) x common factors =3 x 1 = 3
LCM(420,8289) = ( 420 × 8289 ) / 3
LCM(420,8289) = 3481380 / 3
LCM(420,8289) = 1160460
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FAQs on GCF of Fractions of 2631/420, 1942/8289
1. What is the HCF of 2631,1942?
The HCF of 2631,1942 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 2631/420, 1942/8289?
Answer: GCF of Numerators as per given numbers 2631/420, 1942/8289 is
GCF of Numerators i.e. for 2631,1942 is 1
LCM of denominators i.e. for 420,8289 is 1160460.
Thus, GCF of Fractions is 1/1160460.Finally, GCF of Fractions for 2631/420, 1942/8289 is 1/1160460.