GCF of 1902/404, 6870/2722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1902/404, 6870/2722 i.e 6/549844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1902/404, 6870/2722.
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 1902/404,6870/2722?
Given fractions are 1902/404,6870/2722
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 1902/404,6870/2722, numerators are 1902,6870
Denominators are 404,2722
The GCF of 1902,6870 is 6 .
LCM of 404,2722 is 549844.
The greatest common factor of 1902/404,6870/2722 = [GCF of 1902,6870]/[LCM of 404,2722]= 6/549844
Therefore, the GCF of 1902/404,6870/2722 is 6/549844.
To find the highest common factor of 1902,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1902 are 1, 2, 3, 6, 317, 634, 951, 1902
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 1902,6870 is 6.
Lets's calculate GCF of 1902,6870
| 2 | 1902, 6870 |
| 3 | 951, 3435 |
| 317, 1145 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1902,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 1902
:1,2,3,6,317,634,951,1902
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 1902,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 1902,6870 is 6.
Lets's calculate LCM of 404,2722
| 2 | 404, 2722 |
| 202, 1361 |
∴ So the LCM of the given numbers is 2 x 202 x 1361 = 549844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/549844
Therefore, the GCF of Fractions 1902/404,6870/2722 is 6/549844
Least Common Multiple of 404,2722 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 404,2722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,2722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(404,2722) x common factors =2 x 1 = 2
LCM(404,2722) = ( 404 × 2722 ) / 2
LCM(404,2722) = 1099688 / 2
LCM(404,2722) = 549844
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FAQs on GCF of Fractions of 1902/404, 6870/2722
1. What is the HCF of 1902,6870?
The HCF of 1902,6870 is 6
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 1902/404, 6870/2722?
Answer: GCF of Numerators as per given numbers 1902/404, 6870/2722 is
GCF of Numerators i.e. for 1902,6870 is 6
LCM of denominators i.e. for 404,2722 is 549844.
Thus, GCF of Fractions is 6/549844.Finally, GCF of Fractions for 1902/404, 6870/2722 is 6/549844.