GCF of 8077/167, 3876/8977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8077/167, 3876/8977 i.e 1/1499159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8077/167, 3876/8977.
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 8077/167,3876/8977?
Given fractions are 8077/167,3876/8977
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 8077/167,3876/8977, numerators are 8077,3876
Denominators are 167,8977
The GCF of 8077,3876 is 1 .
LCM of 167,8977 is 1499159.
The greatest common factor of 8077/167,3876/8977 = [GCF of 8077,3876]/[LCM of 167,8977]= 1/1499159
Therefore, the GCF of 8077/167,3876/8977 is 1/1499159.
To find the highest common factor of 8077,3876, we have to find the factors of both numbers and list the highest common factor.
The factors of 8077 are 1, 41, 197, 8077
The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The HCF of 8077,3876 is 1.
Lets's calculate GCF of 8077,3876
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8077,3876 By Matching Biggest Common Factor Method
Now, list down the factors of 8077
:1,41,197,8077
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Greatest Common Factor
We found the factors 8077,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,3876 is 1.
Lets's calculate LCM of 167,8977
Given numbers has no common factors except 1. So, there LCM is their product i.e 1499159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1499159
Therefore, the GCF of Fractions 8077/167,3876/8977 is 1/1499159
Least Common Multiple of 167,8977 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 167,8977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,8977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,8977) x common factors =1 x 1 = 1
LCM(167,8977) = ( 167 × 8977 ) / 1
LCM(167,8977) = 1499159 / 1
LCM(167,8977) = 1499159
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FAQs on GCF of Fractions of 8077/167, 3876/8977
1. What is the HCF of 8077,3876?
The HCF of 8077,3876 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 8077/167, 3876/8977?
Answer: GCF of Numerators as per given numbers 8077/167, 3876/8977 is
GCF of Numerators i.e. for 8077,3876 is 1
LCM of denominators i.e. for 167,8977 is 1499159.
Thus, GCF of Fractions is 1/1499159.Finally, GCF of Fractions for 8077/167, 3876/8977 is 1/1499159.