GCF of 4651/594, 8006/8758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4651/594, 8006/8758 i.e 1/2601126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4651/594, 8006/8758.
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 4651/594,8006/8758?
Given fractions are 4651/594,8006/8758
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 4651/594,8006/8758, numerators are 4651,8006
Denominators are 594,8758
The GCF of 4651,8006 is 1 .
LCM of 594,8758 is 2601126.
The greatest common factor of 4651/594,8006/8758 = [GCF of 4651,8006]/[LCM of 594,8758]= 1/2601126
Therefore, the GCF of 4651/594,8006/8758 is 1/2601126.
To find the highest common factor of 4651,8006, we have to find the factors of both numbers and list the highest common factor.
The factors of 4651 are 1, 4651
The factors of 8006 are 1, 2, 4003, 8006
The HCF of 4651,8006 is 1.
Lets's calculate GCF of 4651,8006
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4651,8006 By Matching Biggest Common Factor Method
Now, list down the factors of 4651
:1,4651
Now, list down the factors of 8006
:1,2,4003,8006
Greatest Common Factor
We found the factors 4651,8006 . The biggest common factor number is the GCF number.
So the greatest common factor 4651,8006 is 1.
Lets's calculate LCM of 594,8758
| 2 | 594, 8758 |
| 297, 4379 |
∴ So the LCM of the given numbers is 2 x 297 x 4379 = 2601126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2601126
Therefore, the GCF of Fractions 4651/594,8006/8758 is 1/2601126
Least Common Multiple of 594,8758 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 594,8758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,8758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(594,8758) x common factors =2 x 1 = 2
LCM(594,8758) = ( 594 × 8758 ) / 2
LCM(594,8758) = 5202252 / 2
LCM(594,8758) = 2601126
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FAQs on GCF of Fractions of 4651/594, 8006/8758
1. What is the HCF of 4651,8006?
The HCF of 4651,8006 is 1
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 4651/594, 8006/8758?
Answer: GCF of Numerators as per given numbers 4651/594, 8006/8758 is
GCF of Numerators i.e. for 4651,8006 is 1
LCM of denominators i.e. for 594,8758 is 2601126.
Thus, GCF of Fractions is 1/2601126.Finally, GCF of Fractions for 4651/594, 8006/8758 is 1/2601126.