GCF of 3856/821, 3940/7649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3856/821, 3940/7649 i.e 4/6279829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3856/821, 3940/7649.
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 3856/821,3940/7649?
Given fractions are 3856/821,3940/7649
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 3856/821,3940/7649, numerators are 3856,3940
Denominators are 821,7649
The GCF of 3856,3940 is 4 .
LCM of 821,7649 is 6279829.
The greatest common factor of 3856/821,3940/7649 = [GCF of 3856,3940]/[LCM of 821,7649]= 4/6279829
Therefore, the GCF of 3856/821,3940/7649 is 4/6279829.
To find the highest common factor of 3856,3940, we have to find the factors of both numbers and list the highest common factor.
The factors of 3856 are 1, 2, 4, 8, 16, 241, 482, 964, 1928, 3856
The factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940
The HCF of 3856,3940 is 4.
Lets's calculate GCF of 3856,3940
| 2 | 3856, 3940 |
| 2 | 1928, 1970 |
| 964, 985 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3856,3940 By Matching Biggest Common Factor Method
Now, list down the factors of 3856
:1,2,4,8,16,241,482,964,1928,3856
Now, list down the factors of 3940
:1,2,4,5,10,20,197,394,788,985,1970,3940
Greatest Common Factor
We found the factors 3856,3940 . The biggest common factor number is the GCF number.
So the greatest common factor 3856,3940 is 4.
Lets's calculate LCM of 821,7649
Given numbers has no common factors except 1. So, there LCM is their product i.e 6279829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6279829
Therefore, the GCF of Fractions 3856/821,3940/7649 is 4/6279829
Least Common Multiple of 821,7649 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 821,7649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,7649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,7649) x common factors =1 x 1 = 1
LCM(821,7649) = ( 821 × 7649 ) / 1
LCM(821,7649) = 6279829 / 1
LCM(821,7649) = 6279829
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FAQs on GCF of Fractions of 3856/821, 3940/7649
1. What is the HCF of 3856,3940?
The HCF of 3856,3940 is 4
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 3856/821, 3940/7649?
Answer: GCF of Numerators as per given numbers 3856/821, 3940/7649 is
GCF of Numerators i.e. for 3856,3940 is 4
LCM of denominators i.e. for 821,7649 is 6279829.
Thus, GCF of Fractions is 4/6279829.Finally, GCF of Fractions for 3856/821, 3940/7649 is 4/6279829.