GCF of 39/319, 4875/3693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/319, 4875/3693 i.e 39/1178067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/319, 4875/3693.
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 39/319,4875/3693?
Given fractions are 39/319,4875/3693
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 39/319,4875/3693, numerators are 39,4875
Denominators are 319,3693
The GCF of 39,4875 is 39 .
LCM of 319,3693 is 1178067.
The greatest common factor of 39/319,4875/3693 = [GCF of 39,4875]/[LCM of 319,3693]= 39/1178067
Therefore, the GCF of 39/319,4875/3693 is 39/1178067.
To find the highest common factor of 39,4875, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875
The HCF of 39,4875 is 39.
Lets's calculate GCF of 39,4875
| 3 | 39, 4875 |
| 13 | 13, 1625 |
| 1, 125 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 39,4875 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 4875
:1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875
Greatest Common Factor
We found the factors 39,4875 . The biggest common factor number is the GCF number.
So the greatest common factor 39,4875 is 39.
Lets's calculate LCM of 319,3693
Given numbers has no common factors except 1. So, there LCM is their product i.e 1178067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/1178067
Therefore, the GCF of Fractions 39/319,4875/3693 is 39/1178067
Least Common Multiple of 319,3693 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 319,3693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,3693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,3693) x common factors =1 x 1 = 1
LCM(319,3693) = ( 319 × 3693 ) / 1
LCM(319,3693) = 1178067 / 1
LCM(319,3693) = 1178067
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FAQs on GCF of Fractions of 39/319, 4875/3693
1. What is the HCF of 39,4875?
The HCF of 39,4875 is 39
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 39/319, 4875/3693?
Answer: GCF of Numerators as per given numbers 39/319, 4875/3693 is
GCF of Numerators i.e. for 39,4875 is 39
LCM of denominators i.e. for 319,3693 is 1178067.
Thus, GCF of Fractions is 39/1178067.Finally, GCF of Fractions for 39/319, 4875/3693 is 39/1178067.