GCF of 7007/888, 8712/5330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7007/888, 8712/5330 i.e 11/2366520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7007/888, 8712/5330.
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 7007/888,8712/5330?
Given fractions are 7007/888,8712/5330
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 7007/888,8712/5330, numerators are 7007,8712
Denominators are 888,5330
The GCF of 7007,8712 is 11 .
LCM of 888,5330 is 2366520.
The greatest common factor of 7007/888,8712/5330 = [GCF of 7007,8712]/[LCM of 888,5330]= 11/2366520
Therefore, the GCF of 7007/888,8712/5330 is 11/2366520.
To find the highest common factor of 7007,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
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 7007,8712 is 11.
Lets's calculate GCF of 7007,8712
| 11 | 7007, 8712 |
| 637, 792 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7007,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 7007
:1,7,11,13,49,77,91,143,539,637,1001,7007
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 7007,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 7007,8712 is 11.
Lets's calculate LCM of 888,5330
| 2 | 888, 5330 |
| 444, 2665 |
∴ So the LCM of the given numbers is 2 x 444 x 2665 = 2366520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2366520
Therefore, the GCF of Fractions 7007/888,8712/5330 is 11/2366520
Least Common Multiple of 888,5330 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 888,5330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,5330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(888,5330) x common factors =2 x 1 = 2
LCM(888,5330) = ( 888 × 5330 ) / 2
LCM(888,5330) = 4733040 / 2
LCM(888,5330) = 2366520
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FAQs on GCF of Fractions of 7007/888, 8712/5330
1. What is the HCF of 7007,8712?
The HCF of 7007,8712 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 7007/888, 8712/5330?
Answer: GCF of Numerators as per given numbers 7007/888, 8712/5330 is
GCF of Numerators i.e. for 7007,8712 is 11
LCM of denominators i.e. for 888,5330 is 2366520.
Thus, GCF of Fractions is 11/2366520.Finally, GCF of Fractions for 7007/888, 8712/5330 is 11/2366520.