GCF of 585/99, 9765/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 585/99, 9765/757 i.e 45/74943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 585/99, 9765/757.
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 585/99,9765/757?
Given fractions are 585/99,9765/757
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 585/99,9765/757, numerators are 585,9765
Denominators are 99,757
The GCF of 585,9765 is 45 .
LCM of 99,757 is 74943.
The greatest common factor of 585/99,9765/757 = [GCF of 585,9765]/[LCM of 99,757]= 45/74943
Therefore, the GCF of 585/99,9765/757 is 45/74943.
To find the highest common factor of 585,9765, we have to find the factors of both numbers and list the highest common factor.
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
The factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765
The HCF of 585,9765 is 45.
Lets's calculate GCF of 585,9765
| 3 | 585, 9765 |
| 3 | 195, 3255 |
| 5 | 65, 1085 |
| 13, 217 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 585,9765 By Matching Biggest Common Factor Method
Now, list down the factors of 585
:1,3,5,9,13,15,39,45,65,117,195,585
Now, list down the factors of 9765
:1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765
Greatest Common Factor
We found the factors 585,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 585,9765 is 45.
Lets's calculate LCM of 99,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 74943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/74943
Therefore, the GCF of Fractions 585/99,9765/757 is 45/74943
Least Common Multiple of 99,757 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 99,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,757) x common factors =1 x 1 = 1
LCM(99,757) = ( 99 × 757 ) / 1
LCM(99,757) = 74943 / 1
LCM(99,757) = 74943
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FAQs on GCF of Fractions of 585/99, 9765/757
1. What is the HCF of 585,9765?
The HCF of 585,9765 is 45
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 585/99, 9765/757?
Answer: GCF of Numerators as per given numbers 585/99, 9765/757 is
GCF of Numerators i.e. for 585,9765 is 45
LCM of denominators i.e. for 99,757 is 74943.
Thus, GCF of Fractions is 45/74943.Finally, GCF of Fractions for 585/99, 9765/757 is 45/74943.