GCF of 54/509, 562/103, 527/515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 54/509, 562/103, 527/515 i.e 1/262135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/509, 562/103, 527/515.
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 54/509,562/103,527/515?
Given fractions are 54/509,562/103,527/515
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 54/509,562/103,527/515, numerators are 54,562,527
Denominators are 509,103,515
The GCF of 54,562,527 is 1 .
LCM of 509,103,515 is 262135.
The greatest common factor of 54/509,562/103,527/515 = [GCF of 54,562,527]/[LCM of 509,103,515]= 1/262135
Therefore, the GCF of 54/509,562/103,527/515 is 1/262135.
To find the highest common factor of 54,562,527, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 562 are 1, 2, 281, 562
The factors of 527 are 1, 17, 31, 527
The HCF of 54,562,527 is 1.
Lets's calculate GCF of 54,562,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 54,562,527 By Matching Biggest Common Factor Method
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 562
:1,2,281,562
Now, list down the factors of 527
:1,17,31,527
Greatest Common Factor
We found the factors 54,562,527 . The biggest common factor number is the GCF number.
So the greatest common factor 54,562,527 is 1.
Lets's calculate LCM of 509,103,515
| 103 | 509, 103, 515 |
| 509, 1, 5 |
∴ So the LCM of the given numbers is 103 x 509 x 1 x 5 = 262135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262135
Therefore, the GCF of Fractions 54/509,562/103,527/515 is 1/262135
Least Common Multiple of 509,103,515 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 509,103,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,103,515) = 1
common factors(in case of two or more numbers have common factors) = 103
GCF(509,103,515) x common factors =1 x 103 = 103
LCM(509,103,515) = ( 509 × 103 × 515 ) / 103
LCM(509,103,515) = 26999905 / 103
LCM(509,103,515) = 262135
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FAQs on GCF of Fractions of 54/509, 562/103, 527/515
1. What is the HCF of 54,562,527?
The HCF of 54,562,527 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 54/509, 562/103, 527/515?
Answer: GCF of Numerators as per given numbers 54/509, 562/103, 527/515 is
GCF of Numerators i.e. for 54,562,527 is 1
LCM of denominators i.e. for 509,103,515 is 262135.
Thus, GCF of Fractions is 1/262135.Finally, GCF of Fractions for 54/509, 562/103, 527/515 is 1/262135.