GCF of 379/816, 8771/7888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 379/816, 8771/7888 i.e 1/23664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/816, 8771/7888.
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 379/816,8771/7888?
Given fractions are 379/816,8771/7888
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 379/816,8771/7888, numerators are 379,8771
Denominators are 816,7888
The GCF of 379,8771 is 1 .
LCM of 816,7888 is 23664.
The greatest common factor of 379/816,8771/7888 = [GCF of 379,8771]/[LCM of 816,7888]= 1/23664
Therefore, the GCF of 379/816,8771/7888 is 1/23664.
To find the highest common factor of 379,8771, we have to find the factors of both numbers and list the highest common factor.
The factors of 379 are 1, 379
The factors of 8771 are 1, 7, 49, 179, 1253, 8771
The HCF of 379,8771 is 1.
Lets's calculate GCF of 379,8771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 379,8771 By Matching Biggest Common Factor Method
Now, list down the factors of 379
:1,379
Now, list down the factors of 8771
:1,7,49,179,1253,8771
Greatest Common Factor
We found the factors 379,8771 . The biggest common factor number is the GCF number.
So the greatest common factor 379,8771 is 1.
Lets's calculate LCM of 816,7888
| 2 | 816, 7888 |
| 2 | 408, 3944 |
| 2 | 204, 1972 |
| 2 | 102, 986 |
| 17 | 51, 493 |
| 3, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 3 x 29 = 23664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23664
Therefore, the GCF of Fractions 379/816,8771/7888 is 1/23664
Least Common Multiple of 816,7888 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 816,7888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,7888) = 272
common factors(in case of two or more numbers have common factors) = 1
GCF(816,7888) x common factors =272 x 1 = 272
LCM(816,7888) = ( 816 × 7888 ) / 272
LCM(816,7888) = 6436608 / 272
LCM(816,7888) = 23664
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FAQs on GCF of Fractions of 379/816, 8771/7888
1. What is the HCF of 379,8771?
The HCF of 379,8771 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 379/816, 8771/7888?
Answer: GCF of Numerators as per given numbers 379/816, 8771/7888 is
GCF of Numerators i.e. for 379,8771 is 1
LCM of denominators i.e. for 816,7888 is 23664.
Thus, GCF of Fractions is 1/23664.Finally, GCF of Fractions for 379/816, 8771/7888 is 1/23664.