GCF of 3447/538, 8712/8620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3447/538, 8712/8620 i.e 9/2318780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3447/538, 8712/8620.
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 3447/538,8712/8620?
Given fractions are 3447/538,8712/8620
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 3447/538,8712/8620, numerators are 3447,8712
Denominators are 538,8620
The GCF of 3447,8712 is 9 .
LCM of 538,8620 is 2318780.
The greatest common factor of 3447/538,8712/8620 = [GCF of 3447,8712]/[LCM of 538,8620]= 9/2318780
Therefore, the GCF of 3447/538,8712/8620 is 9/2318780.
To find the highest common factor of 3447,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3447 are 1, 3, 9, 383, 1149, 3447
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 HCF of 3447,8712 is 9.
Lets's calculate GCF of 3447,8712
| 3 | 3447, 8712 |
| 3 | 1149, 2904 |
| 383, 968 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3447,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 3447
:1,3,9,383,1149,3447
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
Greatest Common Factor
We found the factors 3447,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 3447,8712 is 9.
Lets's calculate LCM of 538,8620
| 2 | 538, 8620 |
| 269, 4310 |
∴ So the LCM of the given numbers is 2 x 269 x 4310 = 2318780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2318780
Therefore, the GCF of Fractions 3447/538,8712/8620 is 9/2318780
Least Common Multiple of 538,8620 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 538,8620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,8620) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,8620) x common factors =2 x 1 = 2
LCM(538,8620) = ( 538 × 8620 ) / 2
LCM(538,8620) = 4637560 / 2
LCM(538,8620) = 2318780
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FAQs on GCF of Fractions of 3447/538, 8712/8620
1. What is the HCF of 3447,8712?
The HCF of 3447,8712 is 9
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 3447/538, 8712/8620?
Answer: GCF of Numerators as per given numbers 3447/538, 8712/8620 is
GCF of Numerators i.e. for 3447,8712 is 9
LCM of denominators i.e. for 538,8620 is 2318780.
Thus, GCF of Fractions is 9/2318780.Finally, GCF of Fractions for 3447/538, 8712/8620 is 9/2318780.