GCF of 2562/481, 9442/2840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2562/481, 9442/2840 i.e 2/1366040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2562/481, 9442/2840.
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 2562/481,9442/2840?
Given fractions are 2562/481,9442/2840
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 2562/481,9442/2840, numerators are 2562,9442
Denominators are 481,2840
The GCF of 2562,9442 is 2 .
LCM of 481,2840 is 1366040.
The greatest common factor of 2562/481,9442/2840 = [GCF of 2562,9442]/[LCM of 481,2840]= 2/1366040
Therefore, the GCF of 2562/481,9442/2840 is 2/1366040.
To find the highest common factor of 2562,9442, 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 9442 are 1, 2, 4721, 9442
The HCF of 2562,9442 is 2.
Lets's calculate GCF of 2562,9442
| 2 | 2562, 9442 |
| 1281, 4721 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2562,9442 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 9442
:1,2,4721,9442
Greatest Common Factor
We found the factors 2562,9442 . The biggest common factor number is the GCF number.
So the greatest common factor 2562,9442 is 2.
Lets's calculate LCM of 481,2840
Given numbers has no common factors except 1. So, there LCM is their product i.e 1366040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1366040
Therefore, the GCF of Fractions 2562/481,9442/2840 is 2/1366040
Least Common Multiple of 481,2840 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 481,2840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,2840) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,2840) x common factors =1 x 1 = 1
LCM(481,2840) = ( 481 × 2840 ) / 1
LCM(481,2840) = 1366040 / 1
LCM(481,2840) = 1366040
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FAQs on GCF of Fractions of 2562/481, 9442/2840
1. What is the HCF of 2562,9442?
The HCF of 2562,9442 is 2
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 2562/481, 9442/2840?
Answer: GCF of Numerators as per given numbers 2562/481, 9442/2840 is
GCF of Numerators i.e. for 2562,9442 is 2
LCM of denominators i.e. for 481,2840 is 1366040.
Thus, GCF of Fractions is 2/1366040.Finally, GCF of Fractions for 2562/481, 9442/2840 is 2/1366040.