GCF of 39/84, 26/182, 470/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/84, 26/182, 470/741 i.e 1/20748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/84, 26/182, 470/741.
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 39/84,26/182,470/741?
Given fractions are 39/84,26/182,470/741
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 39/84,26/182,470/741, numerators are 39,26,470
Denominators are 84,182,741
The GCF of 39,26,470 is 1 .
LCM of 84,182,741 is 20748.
The greatest common factor of 39/84,26/182,470/741 = [GCF of 39,26,470]/[LCM of 84,182,741]= 1/20748
Therefore, the GCF of 39/84,26/182,470/741 is 1/20748.
To find the highest common factor of 39,26,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 26 are 1, 2, 13, 26
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 39,26,470 is 1.
Lets's calculate GCF of 39,26,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,26,470 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 39,26,470 . The biggest common factor number is the GCF number.
So the greatest common factor 39,26,470 is 1.
Lets's calculate LCM of 84,182,741
| 2 | 84, 182, 741 |
| 3 | 42, 91, 741 |
| 7 | 14, 91, 247 |
| 13 | 2, 13, 247 |
| 2, 1, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 2 x 1 x 19 = 20748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20748
Therefore, the GCF of Fractions 39/84,26/182,470/741 is 1/20748
Least Common Multiple of 84,182,741 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 84,182,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,182,741) = 1
common factors(in case of two or more numbers have common factors) = 546
GCF(84,182,741) x common factors =1 x 546 = 546
LCM(84,182,741) = ( 84 × 182 × 741 ) / 546
LCM(84,182,741) = 11328408 / 546
LCM(84,182,741) = 20748
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FAQs on GCF of Fractions of 39/84, 26/182, 470/741
1. What is the HCF of 39,26,470?
The HCF of 39,26,470 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 39/84, 26/182, 470/741?
Answer: GCF of Numerators as per given numbers 39/84, 26/182, 470/741 is
GCF of Numerators i.e. for 39,26,470 is 1
LCM of denominators i.e. for 84,182,741 is 20748.
Thus, GCF of Fractions is 1/20748.Finally, GCF of Fractions for 39/84, 26/182, 470/741 is 1/20748.