GCF of 3709/861, 1767/3514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3709/861, 1767/3514 i.e 1/432222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3709/861, 1767/3514.
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 3709/861,1767/3514?
Given fractions are 3709/861,1767/3514
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 3709/861,1767/3514, numerators are 3709,1767
Denominators are 861,3514
The GCF of 3709,1767 is 1 .
LCM of 861,3514 is 432222.
The greatest common factor of 3709/861,1767/3514 = [GCF of 3709,1767]/[LCM of 861,3514]= 1/432222
Therefore, the GCF of 3709/861,1767/3514 is 1/432222.
To find the highest common factor of 3709,1767, we have to find the factors of both numbers and list the highest common factor.
The factors of 3709 are 1, 3709
The factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767
The HCF of 3709,1767 is 1.
Lets's calculate GCF of 3709,1767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3709,1767 By Matching Biggest Common Factor Method
Now, list down the factors of 3709
:1,3709
Now, list down the factors of 1767
:1,3,19,31,57,93,589,1767
Greatest Common Factor
We found the factors 3709,1767 . The biggest common factor number is the GCF number.
So the greatest common factor 3709,1767 is 1.
Lets's calculate LCM of 861,3514
| 7 | 861, 3514 |
| 123, 502 |
∴ So the LCM of the given numbers is 7 x 123 x 502 = 432222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432222
Therefore, the GCF of Fractions 3709/861,1767/3514 is 1/432222
Least Common Multiple of 861,3514 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 861,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,3514) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(861,3514) x common factors =7 x 1 = 7
LCM(861,3514) = ( 861 × 3514 ) / 7
LCM(861,3514) = 3025554 / 7
LCM(861,3514) = 432222
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3709/861, 1767/3514
1. What is the HCF of 3709,1767?
The HCF of 3709,1767 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 3709/861, 1767/3514?
Answer: GCF of Numerators as per given numbers 3709/861, 1767/3514 is
GCF of Numerators i.e. for 3709,1767 is 1
LCM of denominators i.e. for 861,3514 is 432222.
Thus, GCF of Fractions is 1/432222.Finally, GCF of Fractions for 3709/861, 1767/3514 is 1/432222.