GCF of 4036/908, 6493/8761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4036/908, 6493/8761 i.e 1/7954988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4036/908, 6493/8761.
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 4036/908,6493/8761?
Given fractions are 4036/908,6493/8761
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 4036/908,6493/8761, numerators are 4036,6493
Denominators are 908,8761
The GCF of 4036,6493 is 1 .
LCM of 908,8761 is 7954988.
The greatest common factor of 4036/908,6493/8761 = [GCF of 4036,6493]/[LCM of 908,8761]= 1/7954988
Therefore, the GCF of 4036/908,6493/8761 is 1/7954988.
To find the highest common factor of 4036,6493, we have to find the factors of both numbers and list the highest common factor.
The factors of 4036 are 1, 2, 4, 1009, 2018, 4036
The factors of 6493 are 1, 43, 151, 6493
The HCF of 4036,6493 is 1.
Lets's calculate GCF of 4036,6493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4036,6493 By Matching Biggest Common Factor Method
Now, list down the factors of 4036
:1,2,4,1009,2018,4036
Now, list down the factors of 6493
:1,43,151,6493
Greatest Common Factor
We found the factors 4036,6493 . The biggest common factor number is the GCF number.
So the greatest common factor 4036,6493 is 1.
Lets's calculate LCM of 908,8761
Given numbers has no common factors except 1. So, there LCM is their product i.e 7954988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7954988
Therefore, the GCF of Fractions 4036/908,6493/8761 is 1/7954988
Least Common Multiple of 908,8761 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 908,8761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,8761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(908,8761) x common factors =1 x 1 = 1
LCM(908,8761) = ( 908 × 8761 ) / 1
LCM(908,8761) = 7954988 / 1
LCM(908,8761) = 7954988
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FAQs on GCF of Fractions of 4036/908, 6493/8761
1. What is the HCF of 4036,6493?
The HCF of 4036,6493 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 4036/908, 6493/8761?
Answer: GCF of Numerators as per given numbers 4036/908, 6493/8761 is
GCF of Numerators i.e. for 4036,6493 is 1
LCM of denominators i.e. for 908,8761 is 7954988.
Thus, GCF of Fractions is 1/7954988.Finally, GCF of Fractions for 4036/908, 6493/8761 is 1/7954988.