GCF of 3869/110, 1596/7338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3869/110, 1596/7338 i.e 1/403590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3869/110, 1596/7338.
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 3869/110,1596/7338?
Given fractions are 3869/110,1596/7338
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 3869/110,1596/7338, numerators are 3869,1596
Denominators are 110,7338
The GCF of 3869,1596 is 1 .
LCM of 110,7338 is 403590.
The greatest common factor of 3869/110,1596/7338 = [GCF of 3869,1596]/[LCM of 110,7338]= 1/403590
Therefore, the GCF of 3869/110,1596/7338 is 1/403590.
To find the highest common factor of 3869,1596, we have to find the factors of both numbers and list the highest common factor.
The factors of 3869 are 1, 53, 73, 3869
The factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596
The HCF of 3869,1596 is 1.
Lets's calculate GCF of 3869,1596
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3869,1596 By Matching Biggest Common Factor Method
Now, list down the factors of 3869
:1,53,73,3869
Now, list down the factors of 1596
:1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596
Greatest Common Factor
We found the factors 3869,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 3869,1596 is 1.
Lets's calculate LCM of 110,7338
| 2 | 110, 7338 |
| 55, 3669 |
∴ So the LCM of the given numbers is 2 x 55 x 3669 = 403590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403590
Therefore, the GCF of Fractions 3869/110,1596/7338 is 1/403590
Least Common Multiple of 110,7338 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 110,7338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,7338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(110,7338) x common factors =2 x 1 = 2
LCM(110,7338) = ( 110 × 7338 ) / 2
LCM(110,7338) = 807180 / 2
LCM(110,7338) = 403590
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FAQs on GCF of Fractions of 3869/110, 1596/7338
1. What is the HCF of 3869,1596?
The HCF of 3869,1596 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 3869/110, 1596/7338?
Answer: GCF of Numerators as per given numbers 3869/110, 1596/7338 is
GCF of Numerators i.e. for 3869,1596 is 1
LCM of denominators i.e. for 110,7338 is 403590.
Thus, GCF of Fractions is 1/403590.Finally, GCF of Fractions for 3869/110, 1596/7338 is 1/403590.