GCF of 9653/648, 7280/7098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9653/648, 7280/7098 i.e 7/766584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9653/648, 7280/7098.
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 9653/648,7280/7098?
Given fractions are 9653/648,7280/7098
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 9653/648,7280/7098, numerators are 9653,7280
Denominators are 648,7098
The GCF of 9653,7280 is 7 .
LCM of 648,7098 is 766584.
The greatest common factor of 9653/648,7280/7098 = [GCF of 9653,7280]/[LCM of 648,7098]= 7/766584
Therefore, the GCF of 9653/648,7280/7098 is 7/766584.
To find the highest common factor of 9653,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 9653 are 1, 7, 49, 197, 1379, 9653
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The HCF of 9653,7280 is 7.
Lets's calculate GCF of 9653,7280
| 7 | 9653, 7280 |
| 1379, 1040 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9653,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 9653
:1,7,49,197,1379,9653
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 9653,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 9653,7280 is 7.
Lets's calculate LCM of 648,7098
| 2 | 648, 7098 |
| 3 | 324, 3549 |
| 108, 1183 |
∴ So the LCM of the given numbers is 2 x 3 x 108 x 1183 = 766584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/766584
Therefore, the GCF of Fractions 9653/648,7280/7098 is 7/766584
Least Common Multiple of 648,7098 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 648,7098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,7098) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(648,7098) x common factors =6 x 1 = 6
LCM(648,7098) = ( 648 × 7098 ) / 6
LCM(648,7098) = 4599504 / 6
LCM(648,7098) = 766584
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FAQs on GCF of Fractions of 9653/648, 7280/7098
1. What is the HCF of 9653,7280?
The HCF of 9653,7280 is 7
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 9653/648, 7280/7098?
Answer: GCF of Numerators as per given numbers 9653/648, 7280/7098 is
GCF of Numerators i.e. for 9653,7280 is 7
LCM of denominators i.e. for 648,7098 is 766584.
Thus, GCF of Fractions is 7/766584.Finally, GCF of Fractions for 9653/648, 7280/7098 is 7/766584.