GCF of 5482/279, 9246/567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5482/279, 9246/567 i.e 2/17577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5482/279, 9246/567.
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 5482/279,9246/567?
Given fractions are 5482/279,9246/567
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 5482/279,9246/567, numerators are 5482,9246
Denominators are 279,567
The GCF of 5482,9246 is 2 .
LCM of 279,567 is 17577.
The greatest common factor of 5482/279,9246/567 = [GCF of 5482,9246]/[LCM of 279,567]= 2/17577
Therefore, the GCF of 5482/279,9246/567 is 2/17577.
To find the highest common factor of 5482,9246, we have to find the factors of both numbers and list the highest common factor.
The factors of 5482 are 1, 2, 2741, 5482
The factors of 9246 are 1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246
The HCF of 5482,9246 is 2.
Lets's calculate GCF of 5482,9246
| 2 | 5482, 9246 |
| 2741, 4623 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5482,9246 By Matching Biggest Common Factor Method
Now, list down the factors of 5482
:1,2,2741,5482
Now, list down the factors of 9246
:1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Greatest Common Factor
We found the factors 5482,9246 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,9246 is 2.
Lets's calculate LCM of 279,567
| 3 | 279, 567 |
| 3 | 93, 189 |
| 31, 63 |
∴ So the LCM of the given numbers is 3 x 3 x 31 x 63 = 17577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17577
Therefore, the GCF of Fractions 5482/279,9246/567 is 2/17577
Least Common Multiple of 279,567 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 279,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,567) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(279,567) x common factors =9 x 1 = 9
LCM(279,567) = ( 279 × 567 ) / 9
LCM(279,567) = 158193 / 9
LCM(279,567) = 17577
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FAQs on GCF of Fractions of 5482/279, 9246/567
1. What is the HCF of 5482,9246?
The HCF of 5482,9246 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 5482/279, 9246/567?
Answer: GCF of Numerators as per given numbers 5482/279, 9246/567 is
GCF of Numerators i.e. for 5482,9246 is 2
LCM of denominators i.e. for 279,567 is 17577.
Thus, GCF of Fractions is 2/17577.Finally, GCF of Fractions for 5482/279, 9246/567 is 2/17577.