GCF of 8840/628, 9384/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8840/628, 9384/516 i.e 136/81012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8840/628, 9384/516.
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 8840/628,9384/516?
Given fractions are 8840/628,9384/516
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 8840/628,9384/516, numerators are 8840,9384
Denominators are 628,516
The GCF of 8840,9384 is 136 .
LCM of 628,516 is 81012.
The greatest common factor of 8840/628,9384/516 = [GCF of 8840,9384]/[LCM of 628,516]= 136/81012
Therefore, the GCF of 8840/628,9384/516 is 136/81012.
To find the highest common factor of 8840,9384, we have to find the factors of both numbers and list the highest common factor.
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384
The HCF of 8840,9384 is 136.
Lets's calculate GCF of 8840,9384
| 2 | 8840, 9384 |
| 2 | 4420, 4692 |
| 2 | 2210, 2346 |
| 17 | 1105, 1173 |
| 65, 69 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136
Greatest Common Factor of 8840,9384 By Matching Biggest Common Factor Method
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Now, list down the factors of 9384
:1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384
Greatest Common Factor
We found the factors 8840,9384 . The biggest common factor number is the GCF number.
So the greatest common factor 8840,9384 is 136.
Lets's calculate LCM of 628,516
| 2 | 628, 516 |
| 2 | 314, 258 |
| 157, 129 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 129 = 81012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/81012
Therefore, the GCF of Fractions 8840/628,9384/516 is 136/81012
Least Common Multiple of 628,516 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 628,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,516) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(628,516) x common factors =4 x 1 = 4
LCM(628,516) = ( 628 × 516 ) / 4
LCM(628,516) = 324048 / 4
LCM(628,516) = 81012
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FAQs on GCF of Fractions of 8840/628, 9384/516
1. What is the HCF of 8840,9384?
The HCF of 8840,9384 is 136
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 8840/628, 9384/516?
Answer: GCF of Numerators as per given numbers 8840/628, 9384/516 is
GCF of Numerators i.e. for 8840,9384 is 136
LCM of denominators i.e. for 628,516 is 81012.
Thus, GCF of Fractions is 136/81012.Finally, GCF of Fractions for 8840/628, 9384/516 is 136/81012.