GCF of 2282/290, 5887/1468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2282/290, 5887/1468 i.e 7/212860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2282/290, 5887/1468.
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 2282/290,5887/1468?
Given fractions are 2282/290,5887/1468
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 2282/290,5887/1468, numerators are 2282,5887
Denominators are 290,1468
The GCF of 2282,5887 is 7 .
LCM of 290,1468 is 212860.
The greatest common factor of 2282/290,5887/1468 = [GCF of 2282,5887]/[LCM of 290,1468]= 7/212860
Therefore, the GCF of 2282/290,5887/1468 is 7/212860.
To find the highest common factor of 2282,5887, 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 5887 are 1, 7, 29, 203, 841, 5887
The HCF of 2282,5887 is 7.
Lets's calculate GCF of 2282,5887
| 7 | 2282, 5887 |
| 326, 841 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2282,5887 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 5887
:1,7,29,203,841,5887
Greatest Common Factor
We found the factors 2282,5887 . The biggest common factor number is the GCF number.
So the greatest common factor 2282,5887 is 7.
Lets's calculate LCM of 290,1468
| 2 | 290, 1468 |
| 145, 734 |
∴ So the LCM of the given numbers is 2 x 145 x 734 = 212860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/212860
Therefore, the GCF of Fractions 2282/290,5887/1468 is 7/212860
Least Common Multiple of 290,1468 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 290,1468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,1468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,1468) x common factors =2 x 1 = 2
LCM(290,1468) = ( 290 × 1468 ) / 2
LCM(290,1468) = 425720 / 2
LCM(290,1468) = 212860
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FAQs on GCF of Fractions of 2282/290, 5887/1468
1. What is the HCF of 2282,5887?
The HCF of 2282,5887 is 7
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 2282/290, 5887/1468?
Answer: GCF of Numerators as per given numbers 2282/290, 5887/1468 is
GCF of Numerators i.e. for 2282,5887 is 7
LCM of denominators i.e. for 290,1468 is 212860.
Thus, GCF of Fractions is 7/212860.Finally, GCF of Fractions for 2282/290, 5887/1468 is 7/212860.