GCF of 1596/810, 7852/3731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1596/810, 7852/3731 i.e 4/3022110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1596/810, 7852/3731.
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 1596/810,7852/3731?
Given fractions are 1596/810,7852/3731
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 1596/810,7852/3731, numerators are 1596,7852
Denominators are 810,3731
The GCF of 1596,7852 is 4 .
LCM of 810,3731 is 3022110.
The greatest common factor of 1596/810,7852/3731 = [GCF of 1596,7852]/[LCM of 810,3731]= 4/3022110
Therefore, the GCF of 1596/810,7852/3731 is 4/3022110.
To find the highest common factor of 1596,7852, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7852 are 1, 2, 4, 13, 26, 52, 151, 302, 604, 1963, 3926, 7852
The HCF of 1596,7852 is 4.
Lets's calculate GCF of 1596,7852
| 2 | 1596, 7852 |
| 2 | 798, 3926 |
| 399, 1963 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1596,7852 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7852
:1,2,4,13,26,52,151,302,604,1963,3926,7852
Greatest Common Factor
We found the factors 1596,7852 . The biggest common factor number is the GCF number.
So the greatest common factor 1596,7852 is 4.
Lets's calculate LCM of 810,3731
Given numbers has no common factors except 1. So, there LCM is their product i.e 3022110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3022110
Therefore, the GCF of Fractions 1596/810,7852/3731 is 4/3022110
Least Common Multiple of 810,3731 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 810,3731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,3731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,3731) x common factors =1 x 1 = 1
LCM(810,3731) = ( 810 × 3731 ) / 1
LCM(810,3731) = 3022110 / 1
LCM(810,3731) = 3022110
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FAQs on GCF of Fractions of 1596/810, 7852/3731
1. What is the HCF of 1596,7852?
The HCF of 1596,7852 is 4
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 1596/810, 7852/3731?
Answer: GCF of Numerators as per given numbers 1596/810, 7852/3731 is
GCF of Numerators i.e. for 1596,7852 is 4
LCM of denominators i.e. for 810,3731 is 3022110.
Thus, GCF of Fractions is 4/3022110.Finally, GCF of Fractions for 1596/810, 7852/3731 is 4/3022110.