GCF of 8840/835, 9720/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8840/835, 9720/523 i.e 40/436705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8840/835, 9720/523.
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 8840/835,9720/523?
Given fractions are 8840/835,9720/523
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 8840/835,9720/523, numerators are 8840,9720
Denominators are 835,523
The GCF of 8840,9720 is 40 .
LCM of 835,523 is 436705.
The greatest common factor of 8840/835,9720/523 = [GCF of 8840,9720]/[LCM of 835,523]= 40/436705
Therefore, the GCF of 8840/835,9720/523 is 40/436705.
To find the highest common factor of 8840,9720, 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 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720
The HCF of 8840,9720 is 40.
Lets's calculate GCF of 8840,9720
| 2 | 8840, 9720 |
| 2 | 4420, 4860 |
| 2 | 2210, 2430 |
| 5 | 1105, 1215 |
| 221, 243 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 8840,9720 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 9720
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720
Greatest Common Factor
We found the factors 8840,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 8840,9720 is 40.
Lets's calculate LCM of 835,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 436705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/436705
Therefore, the GCF of Fractions 8840/835,9720/523 is 40/436705
Least Common Multiple of 835,523 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 835,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,523) x common factors =1 x 1 = 1
LCM(835,523) = ( 835 × 523 ) / 1
LCM(835,523) = 436705 / 1
LCM(835,523) = 436705
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FAQs on GCF of Fractions of 8840/835, 9720/523
1. What is the HCF of 8840,9720?
The HCF of 8840,9720 is 40
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 8840/835, 9720/523?
Answer: GCF of Numerators as per given numbers 8840/835, 9720/523 is
GCF of Numerators i.e. for 8840,9720 is 40
LCM of denominators i.e. for 835,523 is 436705.
Thus, GCF of Fractions is 40/436705.Finally, GCF of Fractions for 8840/835, 9720/523 is 40/436705.