GCF of 3989/712, 9128/8022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3989/712, 9128/8022 i.e 1/2855832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3989/712, 9128/8022.
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 3989/712,9128/8022?
Given fractions are 3989/712,9128/8022
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 3989/712,9128/8022, numerators are 3989,9128
Denominators are 712,8022
The GCF of 3989,9128 is 1 .
LCM of 712,8022 is 2855832.
The greatest common factor of 3989/712,9128/8022 = [GCF of 3989,9128]/[LCM of 712,8022]= 1/2855832
Therefore, the GCF of 3989/712,9128/8022 is 1/2855832.
To find the highest common factor of 3989,9128, we have to find the factors of both numbers and list the highest common factor.
The factors of 3989 are 1, 3989
The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
The HCF of 3989,9128 is 1.
Lets's calculate GCF of 3989,9128
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3989,9128 By Matching Biggest Common Factor Method
Now, list down the factors of 3989
:1,3989
Now, list down the factors of 9128
:1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
Greatest Common Factor
We found the factors 3989,9128 . The biggest common factor number is the GCF number.
So the greatest common factor 3989,9128 is 1.
Lets's calculate LCM of 712,8022
| 2 | 712, 8022 |
| 356, 4011 |
∴ So the LCM of the given numbers is 2 x 356 x 4011 = 2855832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2855832
Therefore, the GCF of Fractions 3989/712,9128/8022 is 1/2855832
Least Common Multiple of 712,8022 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 712,8022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,8022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,8022) x common factors =2 x 1 = 2
LCM(712,8022) = ( 712 × 8022 ) / 2
LCM(712,8022) = 5711664 / 2
LCM(712,8022) = 2855832
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FAQs on GCF of Fractions of 3989/712, 9128/8022
1. What is the HCF of 3989,9128?
The HCF of 3989,9128 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 3989/712, 9128/8022?
Answer: GCF of Numerators as per given numbers 3989/712, 9128/8022 is
GCF of Numerators i.e. for 3989,9128 is 1
LCM of denominators i.e. for 712,8022 is 2855832.
Thus, GCF of Fractions is 1/2855832.Finally, GCF of Fractions for 3989/712, 9128/8022 is 1/2855832.