GCF of 767/78, 163/8254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 767/78, 163/8254 i.e 1/321906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 767/78, 163/8254.
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 767/78,163/8254?
Given fractions are 767/78,163/8254
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 767/78,163/8254, numerators are 767,163
Denominators are 78,8254
The GCF of 767,163 is 1 .
LCM of 78,8254 is 321906.
The greatest common factor of 767/78,163/8254 = [GCF of 767,163]/[LCM of 78,8254]= 1/321906
Therefore, the GCF of 767/78,163/8254 is 1/321906.
To find the highest common factor of 767,163, we have to find the factors of both numbers and list the highest common factor.
The factors of 767 are 1, 13, 59, 767
The factors of 163 are 1, 163
The HCF of 767,163 is 1.
Lets's calculate GCF of 767,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 767,163 By Matching Biggest Common Factor Method
Now, list down the factors of 767
:1,13,59,767
Now, list down the factors of 163
:1,163
Greatest Common Factor
We found the factors 767,163 . The biggest common factor number is the GCF number.
So the greatest common factor 767,163 is 1.
Lets's calculate LCM of 78,8254
| 2 | 78, 8254 |
| 39, 4127 |
∴ So the LCM of the given numbers is 2 x 39 x 4127 = 321906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321906
Therefore, the GCF of Fractions 767/78,163/8254 is 1/321906
Least Common Multiple of 78,8254 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 78,8254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,8254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,8254) x common factors =2 x 1 = 2
LCM(78,8254) = ( 78 × 8254 ) / 2
LCM(78,8254) = 643812 / 2
LCM(78,8254) = 321906
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FAQs on GCF of Fractions of 767/78, 163/8254
1. What is the HCF of 767,163?
The HCF of 767,163 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 767/78, 163/8254?
Answer: GCF of Numerators as per given numbers 767/78, 163/8254 is
GCF of Numerators i.e. for 767,163 is 1
LCM of denominators i.e. for 78,8254 is 321906.
Thus, GCF of Fractions is 1/321906.Finally, GCF of Fractions for 767/78, 163/8254 is 1/321906.