GCF of 44/246, 95/502, 288/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/246, 95/502, 288/542 i.e 1/16733166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/246, 95/502, 288/542.
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 44/246,95/502,288/542?
Given fractions are 44/246,95/502,288/542
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 44/246,95/502,288/542, numerators are 44,95,288
Denominators are 246,502,542
The GCF of 44,95,288 is 1 .
LCM of 246,502,542 is 16733166.
The greatest common factor of 44/246,95/502,288/542 = [GCF of 44,95,288]/[LCM of 246,502,542]= 1/16733166
Therefore, the GCF of 44/246,95/502,288/542 is 1/16733166.
To find the highest common factor of 44,95,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 95 are 1, 5, 19, 95
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 44,95,288 is 1.
Lets's calculate GCF of 44,95,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 44,95,288 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 44,95,288 . The biggest common factor number is the GCF number.
So the greatest common factor 44,95,288 is 1.
Lets's calculate LCM of 246,502,542
| 2 | 246, 502, 542 |
| 123, 251, 271 |
∴ So the LCM of the given numbers is 2 x 123 x 251 x 271 = 16733166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16733166
Therefore, the GCF of Fractions 44/246,95/502,288/542 is 1/16733166
Least Common Multiple of 246,502,542 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 246,502,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,502,542) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(246,502,542) x common factors =2 x 2 = 4
LCM(246,502,542) = ( 246 × 502 × 542 ) / 4
LCM(246,502,542) = 66932664 / 4
LCM(246,502,542) = 16733166
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FAQs on GCF of Fractions of 44/246, 95/502, 288/542
1. What is the HCF of 44,95,288?
The HCF of 44,95,288 is 1
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 44/246, 95/502, 288/542?
Answer: GCF of Numerators as per given numbers 44/246, 95/502, 288/542 is
GCF of Numerators i.e. for 44,95,288 is 1
LCM of denominators i.e. for 246,502,542 is 16733166.
Thus, GCF of Fractions is 1/16733166.Finally, GCF of Fractions for 44/246, 95/502, 288/542 is 1/16733166.