GCF of 1902/386, 3748/6816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1902/386, 3748/6816 i.e 2/1315488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1902/386, 3748/6816.
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 1902/386,3748/6816?
Given fractions are 1902/386,3748/6816
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 1902/386,3748/6816, numerators are 1902,3748
Denominators are 386,6816
The GCF of 1902,3748 is 2 .
LCM of 386,6816 is 1315488.
The greatest common factor of 1902/386,3748/6816 = [GCF of 1902,3748]/[LCM of 386,6816]= 2/1315488
Therefore, the GCF of 1902/386,3748/6816 is 2/1315488.
To find the highest common factor of 1902,3748, 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 3748 are 1, 2, 4, 937, 1874, 3748
The HCF of 1902,3748 is 2.
Lets's calculate GCF of 1902,3748
| 2 | 1902, 3748 |
| 951, 1874 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1902,3748 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 3748
:1,2,4,937,1874,3748
Greatest Common Factor
We found the factors 1902,3748 . The biggest common factor number is the GCF number.
So the greatest common factor 1902,3748 is 2.
Lets's calculate LCM of 386,6816
| 2 | 386, 6816 |
| 193, 3408 |
∴ So the LCM of the given numbers is 2 x 193 x 3408 = 1315488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1315488
Therefore, the GCF of Fractions 1902/386,3748/6816 is 2/1315488
Least Common Multiple of 386,6816 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 386,6816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,6816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,6816) x common factors =2 x 1 = 2
LCM(386,6816) = ( 386 × 6816 ) / 2
LCM(386,6816) = 2630976 / 2
LCM(386,6816) = 1315488
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FAQs on GCF of Fractions of 1902/386, 3748/6816
1. What is the HCF of 1902,3748?
The HCF of 1902,3748 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 1902/386, 3748/6816?
Answer: GCF of Numerators as per given numbers 1902/386, 3748/6816 is
GCF of Numerators i.e. for 1902,3748 is 2
LCM of denominators i.e. for 386,6816 is 1315488.
Thus, GCF of Fractions is 2/1315488.Finally, GCF of Fractions for 1902/386, 3748/6816 is 2/1315488.