GCF of 9128/490, 8712/2186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9128/490, 8712/2186 i.e 8/535570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9128/490, 8712/2186.
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 9128/490,8712/2186?
Given fractions are 9128/490,8712/2186
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 9128/490,8712/2186, numerators are 9128,8712
Denominators are 490,2186
The GCF of 9128,8712 is 8 .
LCM of 490,2186 is 535570.
The greatest common factor of 9128/490,8712/2186 = [GCF of 9128,8712]/[LCM of 490,2186]= 8/535570
Therefore, the GCF of 9128/490,8712/2186 is 8/535570.
To find the highest common factor of 9128,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
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 9128,8712 is 8.
Lets's calculate GCF of 9128,8712
| 2 | 9128, 8712 |
| 2 | 4564, 4356 |
| 2 | 2282, 2178 |
| 1141, 1089 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9128,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 9128
:1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
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 9128,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 9128,8712 is 8.
Lets's calculate LCM of 490,2186
| 2 | 490, 2186 |
| 245, 1093 |
∴ So the LCM of the given numbers is 2 x 245 x 1093 = 535570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/535570
Therefore, the GCF of Fractions 9128/490,8712/2186 is 8/535570
Least Common Multiple of 490,2186 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 490,2186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,2186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,2186) x common factors =2 x 1 = 2
LCM(490,2186) = ( 490 × 2186 ) / 2
LCM(490,2186) = 1071140 / 2
LCM(490,2186) = 535570
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FAQs on GCF of Fractions of 9128/490, 8712/2186
1. What is the HCF of 9128,8712?
The HCF of 9128,8712 is 8
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 9128/490, 8712/2186?
Answer: GCF of Numerators as per given numbers 9128/490, 8712/2186 is
GCF of Numerators i.e. for 9128,8712 is 8
LCM of denominators i.e. for 490,2186 is 535570.
Thus, GCF of Fractions is 8/535570.Finally, GCF of Fractions for 9128/490, 8712/2186 is 8/535570.