GCF of 1873/612, 3069/8874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1873/612, 3069/8874 i.e 1/17748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1873/612, 3069/8874.
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 1873/612,3069/8874?
Given fractions are 1873/612,3069/8874
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 1873/612,3069/8874, numerators are 1873,3069
Denominators are 612,8874
The GCF of 1873,3069 is 1 .
LCM of 612,8874 is 17748.
The greatest common factor of 1873/612,3069/8874 = [GCF of 1873,3069]/[LCM of 612,8874]= 1/17748
Therefore, the GCF of 1873/612,3069/8874 is 1/17748.
To find the highest common factor of 1873,3069, we have to find the factors of both numbers and list the highest common factor.
The factors of 1873 are 1, 1873
The factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069
The HCF of 1873,3069 is 1.
Lets's calculate GCF of 1873,3069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1873,3069 By Matching Biggest Common Factor Method
Now, list down the factors of 1873
:1,1873
Now, list down the factors of 3069
:1,3,9,11,31,33,93,99,279,341,1023,3069
Greatest Common Factor
We found the factors 1873,3069 . The biggest common factor number is the GCF number.
So the greatest common factor 1873,3069 is 1.
Lets's calculate LCM of 612,8874
| 2 | 612, 8874 |
| 3 | 306, 4437 |
| 3 | 102, 1479 |
| 17 | 34, 493 |
| 2, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 2 x 29 = 17748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17748
Therefore, the GCF of Fractions 1873/612,3069/8874 is 1/17748
Least Common Multiple of 612,8874 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 612,8874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,8874) = 306
common factors(in case of two or more numbers have common factors) = 1
GCF(612,8874) x common factors =306 x 1 = 306
LCM(612,8874) = ( 612 × 8874 ) / 306
LCM(612,8874) = 5430888 / 306
LCM(612,8874) = 17748
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1873/612, 3069/8874
1. What is the HCF of 1873,3069?
The HCF of 1873,3069 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 1873/612, 3069/8874?
Answer: GCF of Numerators as per given numbers 1873/612, 3069/8874 is
GCF of Numerators i.e. for 1873,3069 is 1
LCM of denominators i.e. for 612,8874 is 17748.
Thus, GCF of Fractions is 1/17748.Finally, GCF of Fractions for 1873/612, 3069/8874 is 1/17748.