GCF of 1141/315, 1596/3700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1141/315, 1596/3700 i.e 7/233100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1141/315, 1596/3700.
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 1141/315,1596/3700?
Given fractions are 1141/315,1596/3700
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 1141/315,1596/3700, numerators are 1141,1596
Denominators are 315,3700
The GCF of 1141,1596 is 7 .
LCM of 315,3700 is 233100.
The greatest common factor of 1141/315,1596/3700 = [GCF of 1141,1596]/[LCM of 315,3700]= 7/233100
Therefore, the GCF of 1141/315,1596/3700 is 7/233100.
To find the highest common factor of 1141,1596, we have to find the factors of both numbers and list the highest common factor.
The factors of 1141 are 1, 7, 163, 1141
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 1141,1596 is 7.
Lets's calculate GCF of 1141,1596
| 7 | 1141, 1596 |
| 163, 228 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1141,1596 By Matching Biggest Common Factor Method
Now, list down the factors of 1141
:1,7,163,1141
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 1141,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 1141,1596 is 7.
Lets's calculate LCM of 315,3700
| 5 | 315, 3700 |
| 63, 740 |
∴ So the LCM of the given numbers is 5 x 63 x 740 = 233100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/233100
Therefore, the GCF of Fractions 1141/315,1596/3700 is 7/233100
Least Common Multiple of 315,3700 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 315,3700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,3700) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(315,3700) x common factors =5 x 1 = 5
LCM(315,3700) = ( 315 × 3700 ) / 5
LCM(315,3700) = 1165500 / 5
LCM(315,3700) = 233100
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FAQs on GCF of Fractions of 1141/315, 1596/3700
1. What is the HCF of 1141,1596?
The HCF of 1141,1596 is 7
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 1141/315, 1596/3700?
Answer: GCF of Numerators as per given numbers 1141/315, 1596/3700 is
GCF of Numerators i.e. for 1141,1596 is 7
LCM of denominators i.e. for 315,3700 is 233100.
Thus, GCF of Fractions is 7/233100.Finally, GCF of Fractions for 1141/315, 1596/3700 is 7/233100.