GCF of 8712/628, 4213/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8712/628, 4213/421 i.e 11/264388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8712/628, 4213/421.
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 8712/628,4213/421?
Given fractions are 8712/628,4213/421
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 8712/628,4213/421, numerators are 8712,4213
Denominators are 628,421
The GCF of 8712,4213 is 11 .
LCM of 628,421 is 264388.
The greatest common factor of 8712/628,4213/421 = [GCF of 8712,4213]/[LCM of 628,421]= 11/264388
Therefore, the GCF of 8712/628,4213/421 is 11/264388.
To find the highest common factor of 8712,4213, we have to find the factors of both numbers and list the highest common factor.
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The factors of 4213 are 1, 11, 383, 4213
The HCF of 8712,4213 is 11.
Lets's calculate GCF of 8712,4213
| 11 | 8712, 4213 |
| 792, 383 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8712,4213 By Matching Biggest Common Factor Method
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Now, list down the factors of 4213
:1,11,383,4213
Greatest Common Factor
We found the factors 8712,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 8712,4213 is 11.
Lets's calculate LCM of 628,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 264388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/264388
Therefore, the GCF of Fractions 8712/628,4213/421 is 11/264388
Least Common Multiple of 628,421 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 628,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,421) x common factors =1 x 1 = 1
LCM(628,421) = ( 628 × 421 ) / 1
LCM(628,421) = 264388 / 1
LCM(628,421) = 264388
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FAQs on GCF of Fractions of 8712/628, 4213/421
1. What is the HCF of 8712,4213?
The HCF of 8712,4213 is 11
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 8712/628, 4213/421?
Answer: GCF of Numerators as per given numbers 8712/628, 4213/421 is
GCF of Numerators i.e. for 8712,4213 is 11
LCM of denominators i.e. for 628,421 is 264388.
Thus, GCF of Fractions is 11/264388.Finally, GCF of Fractions for 8712/628, 4213/421 is 11/264388.