GCF of 1902/939, 9012/747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1902/939, 9012/747 i.e 6/233811 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1902/939, 9012/747.
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 1902/939,9012/747?
Given fractions are 1902/939,9012/747
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 1902/939,9012/747, numerators are 1902,9012
Denominators are 939,747
The GCF of 1902,9012 is 6 .
LCM of 939,747 is 233811.
The greatest common factor of 1902/939,9012/747 = [GCF of 1902,9012]/[LCM of 939,747]= 6/233811
Therefore, the GCF of 1902/939,9012/747 is 6/233811.
To find the highest common factor of 1902,9012, 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 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012
The HCF of 1902,9012 is 6.
Lets's calculate GCF of 1902,9012
| 2 | 1902, 9012 |
| 3 | 951, 4506 |
| 317, 1502 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1902,9012 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 9012
:1,2,3,4,6,12,751,1502,2253,3004,4506,9012
Greatest Common Factor
We found the factors 1902,9012 . The biggest common factor number is the GCF number.
So the greatest common factor 1902,9012 is 6.
Lets's calculate LCM of 939,747
| 3 | 939, 747 |
| 313, 249 |
∴ So the LCM of the given numbers is 3 x 313 x 249 = 233811
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/233811
Therefore, the GCF of Fractions 1902/939,9012/747 is 6/233811
Least Common Multiple of 939,747 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 939,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,747) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,747) x common factors =3 x 1 = 3
LCM(939,747) = ( 939 × 747 ) / 3
LCM(939,747) = 701433 / 3
LCM(939,747) = 233811
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FAQs on GCF of Fractions of 1902/939, 9012/747
1. What is the HCF of 1902,9012?
The HCF of 1902,9012 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 1902/939, 9012/747?
Answer: GCF of Numerators as per given numbers 1902/939, 9012/747 is
GCF of Numerators i.e. for 1902,9012 is 6
LCM of denominators i.e. for 939,747 is 233811.
Thus, GCF of Fractions is 6/233811.Finally, GCF of Fractions for 1902/939, 9012/747 is 6/233811.