GCF of 1304/783, 3870/3905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1304/783, 3870/3905 i.e 2/3057615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1304/783, 3870/3905.
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 1304/783,3870/3905?
Given fractions are 1304/783,3870/3905
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 1304/783,3870/3905, numerators are 1304,3870
Denominators are 783,3905
The GCF of 1304,3870 is 2 .
LCM of 783,3905 is 3057615.
The greatest common factor of 1304/783,3870/3905 = [GCF of 1304,3870]/[LCM of 783,3905]= 2/3057615
Therefore, the GCF of 1304/783,3870/3905 is 2/3057615.
To find the highest common factor of 1304,3870, we have to find the factors of both numbers and list the highest common factor.
The factors of 1304 are 1, 2, 4, 8, 163, 326, 652, 1304
The factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The HCF of 1304,3870 is 2.
Lets's calculate GCF of 1304,3870
| 2 | 1304, 3870 |
| 652, 1935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1304,3870 By Matching Biggest Common Factor Method
Now, list down the factors of 1304
:1,2,4,8,163,326,652,1304
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 1304,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 1304,3870 is 2.
Lets's calculate LCM of 783,3905
Given numbers has no common factors except 1. So, there LCM is their product i.e 3057615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3057615
Therefore, the GCF of Fractions 1304/783,3870/3905 is 2/3057615
Least Common Multiple of 783,3905 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 783,3905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,3905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,3905) x common factors =1 x 1 = 1
LCM(783,3905) = ( 783 × 3905 ) / 1
LCM(783,3905) = 3057615 / 1
LCM(783,3905) = 3057615
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FAQs on GCF of Fractions of 1304/783, 3870/3905
1. What is the HCF of 1304,3870?
The HCF of 1304,3870 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 1304/783, 3870/3905?
Answer: GCF of Numerators as per given numbers 1304/783, 3870/3905 is
GCF of Numerators i.e. for 1304,3870 is 2
LCM of denominators i.e. for 783,3905 is 3057615.
Thus, GCF of Fractions is 2/3057615.Finally, GCF of Fractions for 1304/783, 3870/3905 is 2/3057615.