GCF of 7936/848, 9030/3033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7936/848, 9030/3033 i.e 2/2571984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7936/848, 9030/3033.
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 7936/848,9030/3033?
Given fractions are 7936/848,9030/3033
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 7936/848,9030/3033, numerators are 7936,9030
Denominators are 848,3033
The GCF of 7936,9030 is 2 .
LCM of 848,3033 is 2571984.
The greatest common factor of 7936/848,9030/3033 = [GCF of 7936,9030]/[LCM of 848,3033]= 2/2571984
Therefore, the GCF of 7936/848,9030/3033 is 2/2571984.
To find the highest common factor of 7936,9030, 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 9030 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030
The HCF of 7936,9030 is 2.
Lets's calculate GCF of 7936,9030
| 2 | 7936, 9030 |
| 3968, 4515 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7936,9030 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 9030
:1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030
Greatest Common Factor
We found the factors 7936,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 7936,9030 is 2.
Lets's calculate LCM of 848,3033
Given numbers has no common factors except 1. So, there LCM is their product i.e 2571984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2571984
Therefore, the GCF of Fractions 7936/848,9030/3033 is 2/2571984
Least Common Multiple of 848,3033 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 848,3033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,3033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,3033) x common factors =1 x 1 = 1
LCM(848,3033) = ( 848 × 3033 ) / 1
LCM(848,3033) = 2571984 / 1
LCM(848,3033) = 2571984
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FAQs on GCF of Fractions of 7936/848, 9030/3033
1. What is the HCF of 7936,9030?
The HCF of 7936,9030 is 2
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 7936/848, 9030/3033?
Answer: GCF of Numerators as per given numbers 7936/848, 9030/3033 is
GCF of Numerators i.e. for 7936,9030 is 2
LCM of denominators i.e. for 848,3033 is 2571984.
Thus, GCF of Fractions is 2/2571984.Finally, GCF of Fractions for 7936/848, 9030/3033 is 2/2571984.