GCF of 2282/403, 5540/1288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2282/403, 5540/1288 i.e 2/519064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2282/403, 5540/1288.
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 2282/403,5540/1288?
Given fractions are 2282/403,5540/1288
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 2282/403,5540/1288, numerators are 2282,5540
Denominators are 403,1288
The GCF of 2282,5540 is 2 .
LCM of 403,1288 is 519064.
The greatest common factor of 2282/403,5540/1288 = [GCF of 2282,5540]/[LCM of 403,1288]= 2/519064
Therefore, the GCF of 2282/403,5540/1288 is 2/519064.
To find the highest common factor of 2282,5540, we have to find the factors of both numbers and list the highest common factor.
The factors of 2282 are 1, 2, 7, 14, 163, 326, 1141, 2282
The factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540
The HCF of 2282,5540 is 2.
Lets's calculate GCF of 2282,5540
| 2 | 2282, 5540 |
| 1141, 2770 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2282,5540 By Matching Biggest Common Factor Method
Now, list down the factors of 2282
:1,2,7,14,163,326,1141,2282
Now, list down the factors of 5540
:1,2,4,5,10,20,277,554,1108,1385,2770,5540
Greatest Common Factor
We found the factors 2282,5540 . The biggest common factor number is the GCF number.
So the greatest common factor 2282,5540 is 2.
Lets's calculate LCM of 403,1288
Given numbers has no common factors except 1. So, there LCM is their product i.e 519064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/519064
Therefore, the GCF of Fractions 2282/403,5540/1288 is 2/519064
Least Common Multiple of 403,1288 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 403,1288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,1288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,1288) x common factors =1 x 1 = 1
LCM(403,1288) = ( 403 × 1288 ) / 1
LCM(403,1288) = 519064 / 1
LCM(403,1288) = 519064
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FAQs on GCF of Fractions of 2282/403, 5540/1288
1. What is the HCF of 2282,5540?
The HCF of 2282,5540 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 2282/403, 5540/1288?
Answer: GCF of Numerators as per given numbers 2282/403, 5540/1288 is
GCF of Numerators i.e. for 2282,5540 is 2
LCM of denominators i.e. for 403,1288 is 519064.
Thus, GCF of Fractions is 2/519064.Finally, GCF of Fractions for 2282/403, 5540/1288 is 2/519064.