GCF of 30/486, 26/675, 516/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/486, 26/675, 516/774 i.e 2/522450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/486, 26/675, 516/774.
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 30/486,26/675,516/774?
Given fractions are 30/486,26/675,516/774
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 30/486,26/675,516/774, numerators are 30,26,516
Denominators are 486,675,774
The GCF of 30,26,516 is 2 .
LCM of 486,675,774 is 522450.
The greatest common factor of 30/486,26/675,516/774 = [GCF of 30,26,516]/[LCM of 486,675,774]= 2/522450
Therefore, the GCF of 30/486,26/675,516/774 is 2/522450.
To find the highest common factor of 30,26,516, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 26 are 1, 2, 13, 26
The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
The HCF of 30,26,516 is 2.
Lets's calculate GCF of 30,26,516
| 2 | 30, 26, 516 |
| 15, 13, 258 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 30,26,516 By Matching Biggest Common Factor Method
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 516
:1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 30,26,516 . The biggest common factor number is the GCF number.
So the greatest common factor 30,26,516 is 2.
Lets's calculate LCM of 486,675,774
| 2 | 486, 675, 774 |
| 3 | 243, 675, 387 |
| 3 | 81, 225, 129 |
| 3 | 27, 75, 43 |
| 9, 25, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 9 x 25 x 43 = 522450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/522450
Therefore, the GCF of Fractions 30/486,26/675,516/774 is 2/522450
Least Common Multiple of 486,675,774 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 486,675,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,675,774) = 9
common factors(in case of two or more numbers have common factors) = 54
GCF(486,675,774) x common factors =9 x 54 = 486
LCM(486,675,774) = ( 486 × 675 × 774 ) / 486
LCM(486,675,774) = 253910700 / 486
LCM(486,675,774) = 522450
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FAQs on GCF of Fractions of 30/486, 26/675, 516/774
1. What is the HCF of 30,26,516?
The HCF of 30,26,516 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 30/486, 26/675, 516/774?
Answer: GCF of Numerators as per given numbers 30/486, 26/675, 516/774 is
GCF of Numerators i.e. for 30,26,516 is 2
LCM of denominators i.e. for 486,675,774 is 522450.
Thus, GCF of Fractions is 2/522450.Finally, GCF of Fractions for 30/486, 26/675, 516/774 is 2/522450.