GCF of 8077/888, 5938/7135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8077/888, 5938/7135 i.e 1/6335880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8077/888, 5938/7135.
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 8077/888,5938/7135?
Given fractions are 8077/888,5938/7135
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 8077/888,5938/7135, numerators are 8077,5938
Denominators are 888,7135
The GCF of 8077,5938 is 1 .
LCM of 888,7135 is 6335880.
The greatest common factor of 8077/888,5938/7135 = [GCF of 8077,5938]/[LCM of 888,7135]= 1/6335880
Therefore, the GCF of 8077/888,5938/7135 is 1/6335880.
To find the highest common factor of 8077,5938, 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 5938 are 1, 2, 2969, 5938
The HCF of 8077,5938 is 1.
Lets's calculate GCF of 8077,5938
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8077,5938 By Matching Biggest Common Factor Method
Now, list down the factors of 8077
:1,41,197,8077
Now, list down the factors of 5938
:1,2,2969,5938
Greatest Common Factor
We found the factors 8077,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,5938 is 1.
Lets's calculate LCM of 888,7135
Given numbers has no common factors except 1. So, there LCM is their product i.e 6335880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6335880
Therefore, the GCF of Fractions 8077/888,5938/7135 is 1/6335880
Least Common Multiple of 888,7135 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 888,7135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,7135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(888,7135) x common factors =1 x 1 = 1
LCM(888,7135) = ( 888 × 7135 ) / 1
LCM(888,7135) = 6335880 / 1
LCM(888,7135) = 6335880
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FAQs on GCF of Fractions of 8077/888, 5938/7135
1. What is the HCF of 8077,5938?
The HCF of 8077,5938 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 8077/888, 5938/7135?
Answer: GCF of Numerators as per given numbers 8077/888, 5938/7135 is
GCF of Numerators i.e. for 8077,5938 is 1
LCM of denominators i.e. for 888,7135 is 6335880.
Thus, GCF of Fractions is 1/6335880.Finally, GCF of Fractions for 8077/888, 5938/7135 is 1/6335880.