GCF of 9165/624, 2530/5551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9165/624, 2530/5551 i.e 5/266448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9165/624, 2530/5551.
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 9165/624,2530/5551?
Given fractions are 9165/624,2530/5551
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 9165/624,2530/5551, numerators are 9165,2530
Denominators are 624,5551
The GCF of 9165,2530 is 5 .
LCM of 624,5551 is 266448.
The greatest common factor of 9165/624,2530/5551 = [GCF of 9165,2530]/[LCM of 624,5551]= 5/266448
Therefore, the GCF of 9165/624,2530/5551 is 5/266448.
To find the highest common factor of 9165,2530, we have to find the factors of both numbers and list the highest common factor.
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The factors of 2530 are 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530
The HCF of 9165,2530 is 5.
Lets's calculate GCF of 9165,2530
| 5 | 9165, 2530 |
| 1833, 506 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9165,2530 By Matching Biggest Common Factor Method
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Now, list down the factors of 2530
:1,2,5,10,11,22,23,46,55,110,115,230,253,506,1265,2530
Greatest Common Factor
We found the factors 9165,2530 . The biggest common factor number is the GCF number.
So the greatest common factor 9165,2530 is 5.
Lets's calculate LCM of 624,5551
| 13 | 624, 5551 |
| 48, 427 |
∴ So the LCM of the given numbers is 13 x 48 x 427 = 266448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/266448
Therefore, the GCF of Fractions 9165/624,2530/5551 is 5/266448
Least Common Multiple of 624,5551 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 624,5551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5551) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5551) x common factors =13 x 1 = 13
LCM(624,5551) = ( 624 × 5551 ) / 13
LCM(624,5551) = 3463824 / 13
LCM(624,5551) = 266448
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FAQs on GCF of Fractions of 9165/624, 2530/5551
1. What is the HCF of 9165,2530?
The HCF of 9165,2530 is 5
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 9165/624, 2530/5551?
Answer: GCF of Numerators as per given numbers 9165/624, 2530/5551 is
GCF of Numerators i.e. for 9165,2530 is 5
LCM of denominators i.e. for 624,5551 is 266448.
Thus, GCF of Fractions is 5/266448.Finally, GCF of Fractions for 9165/624, 2530/5551 is 5/266448.