GCF of 815/54, 710/684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 815/54, 710/684 i.e 5/2052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/54, 710/684.
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 815/54,710/684?
Given fractions are 815/54,710/684
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 815/54,710/684, numerators are 815,710
Denominators are 54,684
The GCF of 815,710 is 5 .
LCM of 54,684 is 2052.
The greatest common factor of 815/54,710/684 = [GCF of 815,710]/[LCM of 54,684]= 5/2052
Therefore, the GCF of 815/54,710/684 is 5/2052.
To find the highest common factor of 815,710, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The HCF of 815,710 is 5.
Lets's calculate GCF of 815,710
| 5 | 815, 710 |
| 163, 142 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 815,710 By Matching Biggest Common Factor Method
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 815,710 . The biggest common factor number is the GCF number.
So the greatest common factor 815,710 is 5.
Lets's calculate LCM of 54,684
| 2 | 54, 684 |
| 3 | 27, 342 |
| 3 | 9, 114 |
| 3, 38 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 38 = 2052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2052
Therefore, the GCF of Fractions 815/54,710/684 is 5/2052
Least Common Multiple of 54,684 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 54,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,684) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(54,684) x common factors =18 x 1 = 18
LCM(54,684) = ( 54 × 684 ) / 18
LCM(54,684) = 36936 / 18
LCM(54,684) = 2052
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FAQs on GCF of Fractions of 815/54, 710/684
1. What is the HCF of 815,710?
The HCF of 815,710 is 5
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 815/54, 710/684?
Answer: GCF of Numerators as per given numbers 815/54, 710/684 is
GCF of Numerators i.e. for 815,710 is 5
LCM of denominators i.e. for 54,684 is 2052.
Thus, GCF of Fractions is 5/2052.Finally, GCF of Fractions for 815/54, 710/684 is 5/2052.