GCF of 1836/842, 6674/3500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1836/842, 6674/3500 i.e 2/1473500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1836/842, 6674/3500.
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 1836/842,6674/3500?
Given fractions are 1836/842,6674/3500
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 1836/842,6674/3500, numerators are 1836,6674
Denominators are 842,3500
The GCF of 1836,6674 is 2 .
LCM of 842,3500 is 1473500.
The greatest common factor of 1836/842,6674/3500 = [GCF of 1836,6674]/[LCM of 842,3500]= 2/1473500
Therefore, the GCF of 1836/842,6674/3500 is 2/1473500.
To find the highest common factor of 1836,6674, we have to find the factors of both numbers and list the highest common factor.
The factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836
The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674
The HCF of 1836,6674 is 2.
Lets's calculate GCF of 1836,6674
| 2 | 1836, 6674 |
| 918, 3337 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1836,6674 By Matching Biggest Common Factor Method
Now, list down the factors of 1836
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Now, list down the factors of 6674
:1,2,47,71,94,142,3337,6674
Greatest Common Factor
We found the factors 1836,6674 . The biggest common factor number is the GCF number.
So the greatest common factor 1836,6674 is 2.
Lets's calculate LCM of 842,3500
| 2 | 842, 3500 |
| 421, 1750 |
∴ So the LCM of the given numbers is 2 x 421 x 1750 = 1473500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1473500
Therefore, the GCF of Fractions 1836/842,6674/3500 is 2/1473500
Least Common Multiple of 842,3500 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 842,3500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,3500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,3500) x common factors =2 x 1 = 2
LCM(842,3500) = ( 842 × 3500 ) / 2
LCM(842,3500) = 2947000 / 2
LCM(842,3500) = 1473500
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FAQs on GCF of Fractions of 1836/842, 6674/3500
1. What is the HCF of 1836,6674?
The HCF of 1836,6674 is 2
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 1836/842, 6674/3500?
Answer: GCF of Numerators as per given numbers 1836/842, 6674/3500 is
GCF of Numerators i.e. for 1836,6674 is 2
LCM of denominators i.e. for 842,3500 is 1473500.
Thus, GCF of Fractions is 2/1473500.Finally, GCF of Fractions for 1836/842, 6674/3500 is 2/1473500.