GCF of 3010/984, 9765/1053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3010/984, 9765/1053 i.e 35/345384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3010/984, 9765/1053.
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 3010/984,9765/1053?
Given fractions are 3010/984,9765/1053
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 3010/984,9765/1053, numerators are 3010,9765
Denominators are 984,1053
The GCF of 3010,9765 is 35 .
LCM of 984,1053 is 345384.
The greatest common factor of 3010/984,9765/1053 = [GCF of 3010,9765]/[LCM of 984,1053]= 35/345384
Therefore, the GCF of 3010/984,9765/1053 is 35/345384.
To find the highest common factor of 3010,9765, we have to find the factors of both numbers and list the highest common factor.
The factors of 3010 are 1, 2, 5, 7, 10, 14, 35, 43, 70, 86, 215, 301, 430, 602, 1505, 3010
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 3010,9765 is 35.
Lets's calculate GCF of 3010,9765
| 5 | 3010, 9765 |
| 7 | 602, 1953 |
| 86, 279 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 3010,9765 By Matching Biggest Common Factor Method
Now, list down the factors of 3010
:1,2,5,7,10,14,35,43,70,86,215,301,430,602,1505,3010
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 3010,9765 . The biggest common factor number is the GCF number.
So the greatest common factor 3010,9765 is 35.
Lets's calculate LCM of 984,1053
| 3 | 984, 1053 |
| 328, 351 |
∴ So the LCM of the given numbers is 3 x 328 x 351 = 345384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/345384
Therefore, the GCF of Fractions 3010/984,9765/1053 is 35/345384
Least Common Multiple of 984,1053 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 984,1053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,1053) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(984,1053) x common factors =3 x 1 = 3
LCM(984,1053) = ( 984 × 1053 ) / 3
LCM(984,1053) = 1036152 / 3
LCM(984,1053) = 345384
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FAQs on GCF of Fractions of 3010/984, 9765/1053
1. What is the HCF of 3010,9765?
The HCF of 3010,9765 is 35
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 3010/984, 9765/1053?
Answer: GCF of Numerators as per given numbers 3010/984, 9765/1053 is
GCF of Numerators i.e. for 3010,9765 is 35
LCM of denominators i.e. for 984,1053 is 345384.
Thus, GCF of Fractions is 35/345384.Finally, GCF of Fractions for 3010/984, 9765/1053 is 35/345384.