GCF of 39/26, 61/84, 535/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/26, 61/84, 535/839 i.e 1/916188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/26, 61/84, 535/839.
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 39/26,61/84,535/839?
Given fractions are 39/26,61/84,535/839
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 39/26,61/84,535/839, numerators are 39,61,535
Denominators are 26,84,839
The GCF of 39,61,535 is 1 .
LCM of 26,84,839 is 916188.
The greatest common factor of 39/26,61/84,535/839 = [GCF of 39,61,535]/[LCM of 26,84,839]= 1/916188
Therefore, the GCF of 39/26,61/84,535/839 is 1/916188.
To find the highest common factor of 39,61,535, 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 61 are 1, 61
The factors of 535 are 1, 5, 107, 535
The HCF of 39,61,535 is 1.
Lets's calculate GCF of 39,61,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,61,535 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 61
:1,61
Now, list down the factors of 535
:1,5,107,535
Greatest Common Factor
We found the factors 39,61,535 . The biggest common factor number is the GCF number.
So the greatest common factor 39,61,535 is 1.
Lets's calculate LCM of 26,84,839
| 2 | 26, 84, 839 |
| 13, 42, 839 |
∴ So the LCM of the given numbers is 2 x 13 x 42 x 839 = 916188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/916188
Therefore, the GCF of Fractions 39/26,61/84,535/839 is 1/916188
Least Common Multiple of 26,84,839 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 26,84,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,84,839) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,84,839) x common factors =1 x 2 = 2
LCM(26,84,839) = ( 26 × 84 × 839 ) / 2
LCM(26,84,839) = 1832376 / 2
LCM(26,84,839) = 916188
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FAQs on GCF of Fractions of 39/26, 61/84, 535/839
1. What is the HCF of 39,61,535?
The HCF of 39,61,535 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 39/26, 61/84, 535/839?
Answer: GCF of Numerators as per given numbers 39/26, 61/84, 535/839 is
GCF of Numerators i.e. for 39,61,535 is 1
LCM of denominators i.e. for 26,84,839 is 916188.
Thus, GCF of Fractions is 1/916188.Finally, GCF of Fractions for 39/26, 61/84, 535/839 is 1/916188.