GCF of 792/48, 677/593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 792/48, 677/593 i.e 1/28464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/48, 677/593.
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 792/48,677/593?
Given fractions are 792/48,677/593
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 792/48,677/593, numerators are 792,677
Denominators are 48,593
The GCF of 792,677 is 1 .
LCM of 48,593 is 28464.
The greatest common factor of 792/48,677/593 = [GCF of 792,677]/[LCM of 48,593]= 1/28464
Therefore, the GCF of 792/48,677/593 is 1/28464.
To find the highest common factor of 792,677, we have to find the factors of both numbers and list the highest common factor.
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The factors of 677 are 1, 677
The HCF of 792,677 is 1.
Lets's calculate GCF of 792,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 792,677 By Matching Biggest Common Factor Method
Now, list down the factors of 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Now, list down the factors of 677
:1,677
Greatest Common Factor
We found the factors 792,677 . The biggest common factor number is the GCF number.
So the greatest common factor 792,677 is 1.
Lets's calculate LCM of 48,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 28464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28464
Therefore, the GCF of Fractions 792/48,677/593 is 1/28464
Least Common Multiple of 48,593 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 48,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,593) x common factors =1 x 1 = 1
LCM(48,593) = ( 48 × 593 ) / 1
LCM(48,593) = 28464 / 1
LCM(48,593) = 28464
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FAQs on GCF of Fractions of 792/48, 677/593
1. What is the HCF of 792,677?
The HCF of 792,677 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 792/48, 677/593?
Answer: GCF of Numerators as per given numbers 792/48, 677/593 is
GCF of Numerators i.e. for 792,677 is 1
LCM of denominators i.e. for 48,593 is 28464.
Thus, GCF of Fractions is 1/28464.Finally, GCF of Fractions for 792/48, 677/593 is 1/28464.