GCF of 8757/783, 4193/467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8757/783, 4193/467 i.e 7/365661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8757/783, 4193/467.
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 8757/783,4193/467?
Given fractions are 8757/783,4193/467
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 8757/783,4193/467, numerators are 8757,4193
Denominators are 783,467
The GCF of 8757,4193 is 7 .
LCM of 783,467 is 365661.
The greatest common factor of 8757/783,4193/467 = [GCF of 8757,4193]/[LCM of 783,467]= 7/365661
Therefore, the GCF of 8757/783,4193/467 is 7/365661.
To find the highest common factor of 8757,4193, we have to find the factors of both numbers and list the highest common factor.
The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757
The factors of 4193 are 1, 7, 599, 4193
The HCF of 8757,4193 is 7.
Lets's calculate GCF of 8757,4193
| 7 | 8757, 4193 |
| 1251, 599 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8757,4193 By Matching Biggest Common Factor Method
Now, list down the factors of 8757
:1,3,7,9,21,63,139,417,973,1251,2919,8757
Now, list down the factors of 4193
:1,7,599,4193
Greatest Common Factor
We found the factors 8757,4193 . The biggest common factor number is the GCF number.
So the greatest common factor 8757,4193 is 7.
Lets's calculate LCM of 783,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 365661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/365661
Therefore, the GCF of Fractions 8757/783,4193/467 is 7/365661
Least Common Multiple of 783,467 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 783,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,467) x common factors =1 x 1 = 1
LCM(783,467) = ( 783 × 467 ) / 1
LCM(783,467) = 365661 / 1
LCM(783,467) = 365661
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FAQs on GCF of Fractions of 8757/783, 4193/467
1. What is the HCF of 8757,4193?
The HCF of 8757,4193 is 7
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 8757/783, 4193/467?
Answer: GCF of Numerators as per given numbers 8757/783, 4193/467 is
GCF of Numerators i.e. for 8757,4193 is 7
LCM of denominators i.e. for 783,467 is 365661.
Thus, GCF of Fractions is 7/365661.Finally, GCF of Fractions for 8757/783, 4193/467 is 7/365661.