GCF of 9705/750, 5520/7093
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9705/750, 5520/7093 i.e 15/5319750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9705/750, 5520/7093.
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 9705/750,5520/7093?
Given fractions are 9705/750,5520/7093
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 9705/750,5520/7093, numerators are 9705,5520
Denominators are 750,7093
The GCF of 9705,5520 is 15 .
LCM of 750,7093 is 5319750.
The greatest common factor of 9705/750,5520/7093 = [GCF of 9705,5520]/[LCM of 750,7093]= 15/5319750
Therefore, the GCF of 9705/750,5520/7093 is 15/5319750.
To find the highest common factor of 9705,5520, we have to find the factors of both numbers and list the highest common factor.
The factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705
The factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520
The HCF of 9705,5520 is 15.
Lets's calculate GCF of 9705,5520
| 3 | 9705, 5520 |
| 5 | 3235, 1840 |
| 647, 368 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9705,5520 By Matching Biggest Common Factor Method
Now, list down the factors of 9705
:1,3,5,15,647,1941,3235,9705
Now, list down the factors of 5520
:1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520
Greatest Common Factor
We found the factors 9705,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 9705,5520 is 15.
Lets's calculate LCM of 750,7093
Given numbers has no common factors except 1. So, there LCM is their product i.e 5319750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/5319750
Therefore, the GCF of Fractions 9705/750,5520/7093 is 15/5319750
Least Common Multiple of 750,7093 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 750,7093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,7093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(750,7093) x common factors =1 x 1 = 1
LCM(750,7093) = ( 750 × 7093 ) / 1
LCM(750,7093) = 5319750 / 1
LCM(750,7093) = 5319750
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FAQs on GCF of Fractions of 9705/750, 5520/7093
1. What is the HCF of 9705,5520?
The HCF of 9705,5520 is 15
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 9705/750, 5520/7093?
Answer: GCF of Numerators as per given numbers 9705/750, 5520/7093 is
GCF of Numerators i.e. for 9705,5520 is 15
LCM of denominators i.e. for 750,7093 is 5319750.
Thus, GCF of Fractions is 15/5319750.Finally, GCF of Fractions for 9705/750, 5520/7093 is 15/5319750.