GCF of 7936/973, 1152/5419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7936/973, 1152/5419 i.e 128/5272687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7936/973, 1152/5419.
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 7936/973,1152/5419?
Given fractions are 7936/973,1152/5419
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 7936/973,1152/5419, numerators are 7936,1152
Denominators are 973,5419
The GCF of 7936,1152 is 128 .
LCM of 973,5419 is 5272687.
The greatest common factor of 7936/973,1152/5419 = [GCF of 7936,1152]/[LCM of 973,5419]= 128/5272687
Therefore, the GCF of 7936/973,1152/5419 is 128/5272687.
To find the highest common factor of 7936,1152, we have to find the factors of both numbers and list the highest common factor.
The factors of 7936 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152
The HCF of 7936,1152 is 128.
Lets's calculate GCF of 7936,1152
| 2 | 7936, 1152 |
| 2 | 3968, 576 |
| 2 | 1984, 288 |
| 2 | 992, 144 |
| 2 | 496, 72 |
| 2 | 248, 36 |
| 2 | 124, 18 |
| 62, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
Greatest Common Factor of 7936,1152 By Matching Biggest Common Factor Method
Now, list down the factors of 7936
:1,2,4,8,16,31,32,62,64,124,128,248,256,496,992,1984,3968,7936
Now, list down the factors of 1152
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Greatest Common Factor
We found the factors 7936,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 7936,1152 is 128.
Lets's calculate LCM of 973,5419
Given numbers has no common factors except 1. So, there LCM is their product i.e 5272687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 128/5272687
Therefore, the GCF of Fractions 7936/973,1152/5419 is 128/5272687
Least Common Multiple of 973,5419 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 973,5419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,5419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,5419) x common factors =1 x 1 = 1
LCM(973,5419) = ( 973 × 5419 ) / 1
LCM(973,5419) = 5272687 / 1
LCM(973,5419) = 5272687
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FAQs on GCF of Fractions of 7936/973, 1152/5419
1. What is the HCF of 7936,1152?
The HCF of 7936,1152 is 128
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 7936/973, 1152/5419?
Answer: GCF of Numerators as per given numbers 7936/973, 1152/5419 is
GCF of Numerators i.e. for 7936,1152 is 128
LCM of denominators i.e. for 973,5419 is 5272687.
Thus, GCF of Fractions is 128/5272687.Finally, GCF of Fractions for 7936/973, 1152/5419 is 128/5272687.