GCF of 2562/466, 6981/4030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2562/466, 6981/4030 i.e 3/938990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2562/466, 6981/4030.
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 2562/466,6981/4030?
Given fractions are 2562/466,6981/4030
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 2562/466,6981/4030, numerators are 2562,6981
Denominators are 466,4030
The GCF of 2562,6981 is 3 .
LCM of 466,4030 is 938990.
The greatest common factor of 2562/466,6981/4030 = [GCF of 2562,6981]/[LCM of 466,4030]= 3/938990
Therefore, the GCF of 2562/466,6981/4030 is 3/938990.
To find the highest common factor of 2562,6981, we have to find the factors of both numbers and list the highest common factor.
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
The factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981
The HCF of 2562,6981 is 3.
Lets's calculate GCF of 2562,6981
| 3 | 2562, 6981 |
| 854, 2327 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2562,6981 By Matching Biggest Common Factor Method
Now, list down the factors of 2562
:1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Now, list down the factors of 6981
:1,3,13,39,179,537,2327,6981
Greatest Common Factor
We found the factors 2562,6981 . The biggest common factor number is the GCF number.
So the greatest common factor 2562,6981 is 3.
Lets's calculate LCM of 466,4030
| 2 | 466, 4030 |
| 233, 2015 |
∴ So the LCM of the given numbers is 2 x 233 x 2015 = 938990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/938990
Therefore, the GCF of Fractions 2562/466,6981/4030 is 3/938990
Least Common Multiple of 466,4030 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 466,4030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,4030) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,4030) x common factors =2 x 1 = 2
LCM(466,4030) = ( 466 × 4030 ) / 2
LCM(466,4030) = 1877980 / 2
LCM(466,4030) = 938990
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FAQs on GCF of Fractions of 2562/466, 6981/4030
1. What is the HCF of 2562,6981?
The HCF of 2562,6981 is 3
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 2562/466, 6981/4030?
Answer: GCF of Numerators as per given numbers 2562/466, 6981/4030 is
GCF of Numerators i.e. for 2562,6981 is 3
LCM of denominators i.e. for 466,4030 is 938990.
Thus, GCF of Fractions is 3/938990.Finally, GCF of Fractions for 2562/466, 6981/4030 is 3/938990.