GCF of 8035/966, 4123/7138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8035/966, 4123/7138 i.e 1/3447654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8035/966, 4123/7138.
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 8035/966,4123/7138?
Given fractions are 8035/966,4123/7138
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 8035/966,4123/7138, numerators are 8035,4123
Denominators are 966,7138
The GCF of 8035,4123 is 1 .
LCM of 966,7138 is 3447654.
The greatest common factor of 8035/966,4123/7138 = [GCF of 8035,4123]/[LCM of 966,7138]= 1/3447654
Therefore, the GCF of 8035/966,4123/7138 is 1/3447654.
To find the highest common factor of 8035,4123, we have to find the factors of both numbers and list the highest common factor.
The factors of 8035 are 1, 5, 1607, 8035
The factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123
The HCF of 8035,4123 is 1.
Lets's calculate GCF of 8035,4123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8035,4123 By Matching Biggest Common Factor Method
Now, list down the factors of 8035
:1,5,1607,8035
Now, list down the factors of 4123
:1,7,19,31,133,217,589,4123
Greatest Common Factor
We found the factors 8035,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 8035,4123 is 1.
Lets's calculate LCM of 966,7138
| 2 | 966, 7138 |
| 483, 3569 |
∴ So the LCM of the given numbers is 2 x 483 x 3569 = 3447654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3447654
Therefore, the GCF of Fractions 8035/966,4123/7138 is 1/3447654
Least Common Multiple of 966,7138 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 966,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,7138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,7138) x common factors =2 x 1 = 2
LCM(966,7138) = ( 966 × 7138 ) / 2
LCM(966,7138) = 6895308 / 2
LCM(966,7138) = 3447654
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FAQs on GCF of Fractions of 8035/966, 4123/7138
1. What is the HCF of 8035,4123?
The HCF of 8035,4123 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 8035/966, 4123/7138?
Answer: GCF of Numerators as per given numbers 8035/966, 4123/7138 is
GCF of Numerators i.e. for 8035,4123 is 1
LCM of denominators i.e. for 966,7138 is 3447654.
Thus, GCF of Fractions is 1/3447654.Finally, GCF of Fractions for 8035/966, 4123/7138 is 1/3447654.