GCF of 9956/892, 7280/4474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9956/892, 7280/4474 i.e 4/1995404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9956/892, 7280/4474.
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 9956/892,7280/4474?
Given fractions are 9956/892,7280/4474
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 9956/892,7280/4474, numerators are 9956,7280
Denominators are 892,4474
The GCF of 9956,7280 is 4 .
LCM of 892,4474 is 1995404.
The greatest common factor of 9956/892,7280/4474 = [GCF of 9956,7280]/[LCM of 892,4474]= 4/1995404
Therefore, the GCF of 9956/892,7280/4474 is 4/1995404.
To find the highest common factor of 9956,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 9956 are 1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956
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 9956,7280 is 4.
Lets's calculate GCF of 9956,7280
| 2 | 9956, 7280 |
| 2 | 4978, 3640 |
| 2489, 1820 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9956,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 9956
:1,2,4,19,38,76,131,262,524,2489,4978,9956
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 9956,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 9956,7280 is 4.
Lets's calculate LCM of 892,4474
| 2 | 892, 4474 |
| 446, 2237 |
∴ So the LCM of the given numbers is 2 x 446 x 2237 = 1995404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1995404
Therefore, the GCF of Fractions 9956/892,7280/4474 is 4/1995404
Least Common Multiple of 892,4474 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 892,4474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,4474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,4474) x common factors =2 x 1 = 2
LCM(892,4474) = ( 892 × 4474 ) / 2
LCM(892,4474) = 3990808 / 2
LCM(892,4474) = 1995404
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FAQs on GCF of Fractions of 9956/892, 7280/4474
1. What is the HCF of 9956,7280?
The HCF of 9956,7280 is 4
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 9956/892, 7280/4474?
Answer: GCF of Numerators as per given numbers 9956/892, 7280/4474 is
GCF of Numerators i.e. for 9956,7280 is 4
LCM of denominators i.e. for 892,4474 is 1995404.
Thus, GCF of Fractions is 4/1995404.Finally, GCF of Fractions for 9956/892, 7280/4474 is 4/1995404.