GCF of 5282/282, 5522/2986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5282/282, 5522/2986 i.e 2/421026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5282/282, 5522/2986.
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 5282/282,5522/2986?
Given fractions are 5282/282,5522/2986
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 5282/282,5522/2986, numerators are 5282,5522
Denominators are 282,2986
The GCF of 5282,5522 is 2 .
LCM of 282,2986 is 421026.
The greatest common factor of 5282/282,5522/2986 = [GCF of 5282,5522]/[LCM of 282,2986]= 2/421026
Therefore, the GCF of 5282/282,5522/2986 is 2/421026.
To find the highest common factor of 5282,5522, we have to find the factors of both numbers and list the highest common factor.
The factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282
The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522
The HCF of 5282,5522 is 2.
Lets's calculate GCF of 5282,5522
| 2 | 5282, 5522 |
| 2641, 2761 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5282,5522 By Matching Biggest Common Factor Method
Now, list down the factors of 5282
:1,2,19,38,139,278,2641,5282
Now, list down the factors of 5522
:1,2,11,22,251,502,2761,5522
Greatest Common Factor
We found the factors 5282,5522 . The biggest common factor number is the GCF number.
So the greatest common factor 5282,5522 is 2.
Lets's calculate LCM of 282,2986
| 2 | 282, 2986 |
| 141, 1493 |
∴ So the LCM of the given numbers is 2 x 141 x 1493 = 421026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/421026
Therefore, the GCF of Fractions 5282/282,5522/2986 is 2/421026
Least Common Multiple of 282,2986 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 282,2986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,2986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,2986) x common factors =2 x 1 = 2
LCM(282,2986) = ( 282 × 2986 ) / 2
LCM(282,2986) = 842052 / 2
LCM(282,2986) = 421026
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FAQs on GCF of Fractions of 5282/282, 5522/2986
1. What is the HCF of 5282,5522?
The HCF of 5282,5522 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 5282/282, 5522/2986?
Answer: GCF of Numerators as per given numbers 5282/282, 5522/2986 is
GCF of Numerators i.e. for 5282,5522 is 2
LCM of denominators i.e. for 282,2986 is 421026.
Thus, GCF of Fractions is 2/421026.Finally, GCF of Fractions for 5282/282, 5522/2986 is 2/421026.