GCF of 3759/432, 2791/3086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3759/432, 2791/3086 i.e 1/666576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3759/432, 2791/3086.
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 3759/432,2791/3086?
Given fractions are 3759/432,2791/3086
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 3759/432,2791/3086, numerators are 3759,2791
Denominators are 432,3086
The GCF of 3759,2791 is 1 .
LCM of 432,3086 is 666576.
The greatest common factor of 3759/432,2791/3086 = [GCF of 3759,2791]/[LCM of 432,3086]= 1/666576
Therefore, the GCF of 3759/432,2791/3086 is 1/666576.
To find the highest common factor of 3759,2791, we have to find the factors of both numbers and list the highest common factor.
The factors of 3759 are 1, 3, 7, 21, 179, 537, 1253, 3759
The factors of 2791 are 1, 2791
The HCF of 3759,2791 is 1.
Lets's calculate GCF of 3759,2791
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3759,2791 By Matching Biggest Common Factor Method
Now, list down the factors of 3759
:1,3,7,21,179,537,1253,3759
Now, list down the factors of 2791
:1,2791
Greatest Common Factor
We found the factors 3759,2791 . The biggest common factor number is the GCF number.
So the greatest common factor 3759,2791 is 1.
Lets's calculate LCM of 432,3086
| 2 | 432, 3086 |
| 216, 1543 |
∴ So the LCM of the given numbers is 2 x 216 x 1543 = 666576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/666576
Therefore, the GCF of Fractions 3759/432,2791/3086 is 1/666576
Least Common Multiple of 432,3086 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 432,3086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,3086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(432,3086) x common factors =2 x 1 = 2
LCM(432,3086) = ( 432 × 3086 ) / 2
LCM(432,3086) = 1333152 / 2
LCM(432,3086) = 666576
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FAQs on GCF of Fractions of 3759/432, 2791/3086
1. What is the HCF of 3759,2791?
The HCF of 3759,2791 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 3759/432, 2791/3086?
Answer: GCF of Numerators as per given numbers 3759/432, 2791/3086 is
GCF of Numerators i.e. for 3759,2791 is 1
LCM of denominators i.e. for 432,3086 is 666576.
Thus, GCF of Fractions is 1/666576.Finally, GCF of Fractions for 3759/432, 2791/3086 is 1/666576.