GCF of 9648/676, 9624/8984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9648/676, 9624/8984 i.e 24/1518296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9648/676, 9624/8984.
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 9648/676,9624/8984?
Given fractions are 9648/676,9624/8984
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 9648/676,9624/8984, numerators are 9648,9624
Denominators are 676,8984
The GCF of 9648,9624 is 24 .
LCM of 676,8984 is 1518296.
The greatest common factor of 9648/676,9624/8984 = [GCF of 9648,9624]/[LCM of 676,8984]= 24/1518296
Therefore, the GCF of 9648/676,9624/8984 is 24/1518296.
To find the highest common factor of 9648,9624, we have to find the factors of both numbers and list the highest common factor.
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624
The HCF of 9648,9624 is 24.
Lets's calculate GCF of 9648,9624
| 2 | 9648, 9624 |
| 2 | 4824, 4812 |
| 2 | 2412, 2406 |
| 3 | 1206, 1203 |
| 402, 401 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 9648,9624 By Matching Biggest Common Factor Method
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Now, list down the factors of 9624
:1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624
Greatest Common Factor
We found the factors 9648,9624 . The biggest common factor number is the GCF number.
So the greatest common factor 9648,9624 is 24.
Lets's calculate LCM of 676,8984
| 2 | 676, 8984 |
| 2 | 338, 4492 |
| 169, 2246 |
∴ So the LCM of the given numbers is 2 x 2 x 169 x 2246 = 1518296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1518296
Therefore, the GCF of Fractions 9648/676,9624/8984 is 24/1518296
Least Common Multiple of 676,8984 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 676,8984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,8984) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(676,8984) x common factors =4 x 1 = 4
LCM(676,8984) = ( 676 × 8984 ) / 4
LCM(676,8984) = 6073184 / 4
LCM(676,8984) = 1518296
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9648/676, 9624/8984
1. What is the HCF of 9648,9624?
The HCF of 9648,9624 is 24
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 9648/676, 9624/8984?
Answer: GCF of Numerators as per given numbers 9648/676, 9624/8984 is
GCF of Numerators i.e. for 9648,9624 is 24
LCM of denominators i.e. for 676,8984 is 1518296.
Thus, GCF of Fractions is 24/1518296.Finally, GCF of Fractions for 9648/676, 9624/8984 is 24/1518296.