GCF of 3984/257, 4221/7029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3984/257, 4221/7029 i.e 3/1806453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3984/257, 4221/7029.
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 3984/257,4221/7029?
Given fractions are 3984/257,4221/7029
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 3984/257,4221/7029, numerators are 3984,4221
Denominators are 257,7029
The GCF of 3984,4221 is 3 .
LCM of 257,7029 is 1806453.
The greatest common factor of 3984/257,4221/7029 = [GCF of 3984,4221]/[LCM of 257,7029]= 3/1806453
Therefore, the GCF of 3984/257,4221/7029 is 3/1806453.
To find the highest common factor of 3984,4221, we have to find the factors of both numbers and list the highest common factor.
The factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984
The factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
The HCF of 3984,4221 is 3.
Lets's calculate GCF of 3984,4221
| 3 | 3984, 4221 |
| 1328, 1407 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3984,4221 By Matching Biggest Common Factor Method
Now, list down the factors of 3984
:1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984
Now, list down the factors of 4221
:1,3,7,9,21,63,67,201,469,603,1407,4221
Greatest Common Factor
We found the factors 3984,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 3984,4221 is 3.
Lets's calculate LCM of 257,7029
Given numbers has no common factors except 1. So, there LCM is their product i.e 1806453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1806453
Therefore, the GCF of Fractions 3984/257,4221/7029 is 3/1806453
Least Common Multiple of 257,7029 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 257,7029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,7029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,7029) x common factors =1 x 1 = 1
LCM(257,7029) = ( 257 × 7029 ) / 1
LCM(257,7029) = 1806453 / 1
LCM(257,7029) = 1806453
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FAQs on GCF of Fractions of 3984/257, 4221/7029
1. What is the HCF of 3984,4221?
The HCF of 3984,4221 is 3
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 3984/257, 4221/7029?
Answer: GCF of Numerators as per given numbers 3984/257, 4221/7029 is
GCF of Numerators i.e. for 3984,4221 is 3
LCM of denominators i.e. for 257,7029 is 1806453.
Thus, GCF of Fractions is 3/1806453.Finally, GCF of Fractions for 3984/257, 4221/7029 is 3/1806453.