GCF of 8523/550, 9648/4658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8523/550, 9648/4658 i.e 9/1280950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8523/550, 9648/4658.
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 8523/550,9648/4658?
Given fractions are 8523/550,9648/4658
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 8523/550,9648/4658, numerators are 8523,9648
Denominators are 550,4658
The GCF of 8523,9648 is 9 .
LCM of 550,4658 is 1280950.
The greatest common factor of 8523/550,9648/4658 = [GCF of 8523,9648]/[LCM of 550,4658]= 9/1280950
Therefore, the GCF of 8523/550,9648/4658 is 9/1280950.
To find the highest common factor of 8523,9648, we have to find the factors of both numbers and list the highest common factor.
The factors of 8523 are 1, 3, 9, 947, 2841, 8523
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The HCF of 8523,9648 is 9.
Lets's calculate GCF of 8523,9648
| 3 | 8523, 9648 |
| 3 | 2841, 3216 |
| 947, 1072 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8523,9648 By Matching Biggest Common Factor Method
Now, list down the factors of 8523
:1,3,9,947,2841,8523
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Greatest Common Factor
We found the factors 8523,9648 . The biggest common factor number is the GCF number.
So the greatest common factor 8523,9648 is 9.
Lets's calculate LCM of 550,4658
| 2 | 550, 4658 |
| 275, 2329 |
∴ So the LCM of the given numbers is 2 x 275 x 2329 = 1280950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1280950
Therefore, the GCF of Fractions 8523/550,9648/4658 is 9/1280950
Least Common Multiple of 550,4658 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 550,4658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,4658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,4658) x common factors =2 x 1 = 2
LCM(550,4658) = ( 550 × 4658 ) / 2
LCM(550,4658) = 2561900 / 2
LCM(550,4658) = 1280950
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FAQs on GCF of Fractions of 8523/550, 9648/4658
1. What is the HCF of 8523,9648?
The HCF of 8523,9648 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 8523/550, 9648/4658?
Answer: GCF of Numerators as per given numbers 8523/550, 9648/4658 is
GCF of Numerators i.e. for 8523,9648 is 9
LCM of denominators i.e. for 550,4658 is 1280950.
Thus, GCF of Fractions is 9/1280950.Finally, GCF of Fractions for 8523/550, 9648/4658 is 9/1280950.