GCF of 768/810, 174/915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 768/810, 174/915 i.e 6/49410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/810, 174/915.
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 768/810,174/915?
Given fractions are 768/810,174/915
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 768/810,174/915, numerators are 768,174
Denominators are 810,915
The GCF of 768,174 is 6 .
LCM of 810,915 is 49410.
The greatest common factor of 768/810,174/915 = [GCF of 768,174]/[LCM of 810,915]= 6/49410
Therefore, the GCF of 768/810,174/915 is 6/49410.
To find the highest common factor of 768,174, we have to find the factors of both numbers and list the highest common factor.
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The HCF of 768,174 is 6.
Lets's calculate GCF of 768,174
| 2 | 768, 174 |
| 3 | 384, 87 |
| 128, 29 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 768,174 By Matching Biggest Common Factor Method
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 768,174 . The biggest common factor number is the GCF number.
So the greatest common factor 768,174 is 6.
Lets's calculate LCM of 810,915
| 3 | 810, 915 |
| 5 | 270, 305 |
| 54, 61 |
∴ So the LCM of the given numbers is 3 x 5 x 54 x 61 = 49410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/49410
Therefore, the GCF of Fractions 768/810,174/915 is 6/49410
Least Common Multiple of 810,915 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 810,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,915) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(810,915) x common factors =15 x 1 = 15
LCM(810,915) = ( 810 × 915 ) / 15
LCM(810,915) = 741150 / 15
LCM(810,915) = 49410
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FAQs on GCF of Fractions of 768/810, 174/915
1. What is the HCF of 768,174?
The HCF of 768,174 is 6
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 768/810, 174/915?
Answer: GCF of Numerators as per given numbers 768/810, 174/915 is
GCF of Numerators i.e. for 768,174 is 6
LCM of denominators i.e. for 810,915 is 49410.
Thus, GCF of Fractions is 6/49410.Finally, GCF of Fractions for 768/810, 174/915 is 6/49410.