GCF of 7564/594, 8776/4783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7564/594, 8776/4783 i.e 4/2841102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7564/594, 8776/4783.
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 7564/594,8776/4783?
Given fractions are 7564/594,8776/4783
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 7564/594,8776/4783, numerators are 7564,8776
Denominators are 594,4783
The GCF of 7564,8776 is 4 .
LCM of 594,4783 is 2841102.
The greatest common factor of 7564/594,8776/4783 = [GCF of 7564,8776]/[LCM of 594,4783]= 4/2841102
Therefore, the GCF of 7564/594,8776/4783 is 4/2841102.
To find the highest common factor of 7564,8776, we have to find the factors of both numbers and list the highest common factor.
The factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564
The factors of 8776 are 1, 2, 4, 8, 1097, 2194, 4388, 8776
The HCF of 7564,8776 is 4.
Lets's calculate GCF of 7564,8776
| 2 | 7564, 8776 |
| 2 | 3782, 4388 |
| 1891, 2194 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7564,8776 By Matching Biggest Common Factor Method
Now, list down the factors of 7564
:1,2,4,31,61,62,122,124,244,1891,3782,7564
Now, list down the factors of 8776
:1,2,4,8,1097,2194,4388,8776
Greatest Common Factor
We found the factors 7564,8776 . The biggest common factor number is the GCF number.
So the greatest common factor 7564,8776 is 4.
Lets's calculate LCM of 594,4783
Given numbers has no common factors except 1. So, there LCM is their product i.e 2841102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2841102
Therefore, the GCF of Fractions 7564/594,8776/4783 is 4/2841102
Least Common Multiple of 594,4783 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 594,4783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,4783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(594,4783) x common factors =1 x 1 = 1
LCM(594,4783) = ( 594 × 4783 ) / 1
LCM(594,4783) = 2841102 / 1
LCM(594,4783) = 2841102
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FAQs on GCF of Fractions of 7564/594, 8776/4783
1. What is the HCF of 7564,8776?
The HCF of 7564,8776 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 7564/594, 8776/4783?
Answer: GCF of Numerators as per given numbers 7564/594, 8776/4783 is
GCF of Numerators i.e. for 7564,8776 is 4
LCM of denominators i.e. for 594,4783 is 2841102.
Thus, GCF of Fractions is 4/2841102.Finally, GCF of Fractions for 7564/594, 8776/4783 is 4/2841102.