GCF of 3073/960, 3787/2989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3073/960, 3787/2989 i.e 7/2869440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3073/960, 3787/2989.
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 3073/960,3787/2989?
Given fractions are 3073/960,3787/2989
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 3073/960,3787/2989, numerators are 3073,3787
Denominators are 960,2989
The GCF of 3073,3787 is 7 .
LCM of 960,2989 is 2869440.
The greatest common factor of 3073/960,3787/2989 = [GCF of 3073,3787]/[LCM of 960,2989]= 7/2869440
Therefore, the GCF of 3073/960,3787/2989 is 7/2869440.
To find the highest common factor of 3073,3787, we have to find the factors of both numbers and list the highest common factor.
The factors of 3073 are 1, 7, 439, 3073
The factors of 3787 are 1, 7, 541, 3787
The HCF of 3073,3787 is 7.
Lets's calculate GCF of 3073,3787
| 7 | 3073, 3787 |
| 439, 541 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3073,3787 By Matching Biggest Common Factor Method
Now, list down the factors of 3073
:1,7,439,3073
Now, list down the factors of 3787
:1,7,541,3787
Greatest Common Factor
We found the factors 3073,3787 . The biggest common factor number is the GCF number.
So the greatest common factor 3073,3787 is 7.
Lets's calculate LCM of 960,2989
Given numbers has no common factors except 1. So, there LCM is their product i.e 2869440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2869440
Therefore, the GCF of Fractions 3073/960,3787/2989 is 7/2869440
Least Common Multiple of 960,2989 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 960,2989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,2989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(960,2989) x common factors =1 x 1 = 1
LCM(960,2989) = ( 960 × 2989 ) / 1
LCM(960,2989) = 2869440 / 1
LCM(960,2989) = 2869440
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FAQs on GCF of Fractions of 3073/960, 3787/2989
1. What is the HCF of 3073,3787?
The HCF of 3073,3787 is 7
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 3073/960, 3787/2989?
Answer: GCF of Numerators as per given numbers 3073/960, 3787/2989 is
GCF of Numerators i.e. for 3073,3787 is 7
LCM of denominators i.e. for 960,2989 is 2869440.
Thus, GCF of Fractions is 7/2869440.Finally, GCF of Fractions for 3073/960, 3787/2989 is 7/2869440.