GCF of 4221/577, 8883/4278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4221/577, 8883/4278 i.e 63/2468406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4221/577, 8883/4278.
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 4221/577,8883/4278?
Given fractions are 4221/577,8883/4278
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 4221/577,8883/4278, numerators are 4221,8883
Denominators are 577,4278
The GCF of 4221,8883 is 63 .
LCM of 577,4278 is 2468406.
The greatest common factor of 4221/577,8883/4278 = [GCF of 4221,8883]/[LCM of 577,4278]= 63/2468406
Therefore, the GCF of 4221/577,8883/4278 is 63/2468406.
To find the highest common factor of 4221,8883, we have to find the factors of both numbers and list the highest common factor.
The factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
The factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
The HCF of 4221,8883 is 63.
Lets's calculate GCF of 4221,8883
| 3 | 4221, 8883 |
| 3 | 1407, 2961 |
| 7 | 469, 987 |
| 67, 141 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 4221,8883 By Matching Biggest Common Factor Method
Now, list down the factors of 4221
:1,3,7,9,21,63,67,201,469,603,1407,4221
Now, list down the factors of 8883
:1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Greatest Common Factor
We found the factors 4221,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 4221,8883 is 63.
Lets's calculate LCM of 577,4278
Given numbers has no common factors except 1. So, there LCM is their product i.e 2468406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/2468406
Therefore, the GCF of Fractions 4221/577,8883/4278 is 63/2468406
Least Common Multiple of 577,4278 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 577,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,4278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,4278) x common factors =1 x 1 = 1
LCM(577,4278) = ( 577 × 4278 ) / 1
LCM(577,4278) = 2468406 / 1
LCM(577,4278) = 2468406
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FAQs on GCF of Fractions of 4221/577, 8883/4278
1. What is the HCF of 4221,8883?
The HCF of 4221,8883 is 63
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 4221/577, 8883/4278?
Answer: GCF of Numerators as per given numbers 4221/577, 8883/4278 is
GCF of Numerators i.e. for 4221,8883 is 63
LCM of denominators i.e. for 577,4278 is 2468406.
Thus, GCF of Fractions is 63/2468406.Finally, GCF of Fractions for 4221/577, 8883/4278 is 63/2468406.