GCF of 9924/657, 7680/8075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9924/657, 7680/8075 i.e 12/5305275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9924/657, 7680/8075.
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 9924/657,7680/8075?
Given fractions are 9924/657,7680/8075
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 9924/657,7680/8075, numerators are 9924,7680
Denominators are 657,8075
The GCF of 9924,7680 is 12 .
LCM of 657,8075 is 5305275.
The greatest common factor of 9924/657,7680/8075 = [GCF of 9924,7680]/[LCM of 657,8075]= 12/5305275
Therefore, the GCF of 9924/657,7680/8075 is 12/5305275.
To find the highest common factor of 9924,7680, we have to find the factors of both numbers and list the highest common factor.
The factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924
The factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680
The HCF of 9924,7680 is 12.
Lets's calculate GCF of 9924,7680
| 2 | 9924, 7680 |
| 2 | 4962, 3840 |
| 3 | 2481, 1920 |
| 827, 640 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9924,7680 By Matching Biggest Common Factor Method
Now, list down the factors of 9924
:1,2,3,4,6,12,827,1654,2481,3308,4962,9924
Now, list down the factors of 7680
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680
Greatest Common Factor
We found the factors 9924,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 9924,7680 is 12.
Lets's calculate LCM of 657,8075
Given numbers has no common factors except 1. So, there LCM is their product i.e 5305275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5305275
Therefore, the GCF of Fractions 9924/657,7680/8075 is 12/5305275
Least Common Multiple of 657,8075 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 657,8075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,8075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,8075) x common factors =1 x 1 = 1
LCM(657,8075) = ( 657 × 8075 ) / 1
LCM(657,8075) = 5305275 / 1
LCM(657,8075) = 5305275
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FAQs on GCF of Fractions of 9924/657, 7680/8075
1. What is the HCF of 9924,7680?
The HCF of 9924,7680 is 12
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 9924/657, 7680/8075?
Answer: GCF of Numerators as per given numbers 9924/657, 7680/8075 is
GCF of Numerators i.e. for 9924,7680 is 12
LCM of denominators i.e. for 657,8075 is 5305275.
Thus, GCF of Fractions is 12/5305275.Finally, GCF of Fractions for 9924/657, 7680/8075 is 12/5305275.