GCF of 791/823, 574/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 791/823, 574/638 i.e 7/525074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/823, 574/638.
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 791/823,574/638?
Given fractions are 791/823,574/638
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 791/823,574/638, numerators are 791,574
Denominators are 823,638
The GCF of 791,574 is 7 .
LCM of 823,638 is 525074.
The greatest common factor of 791/823,574/638 = [GCF of 791,574]/[LCM of 823,638]= 7/525074
Therefore, the GCF of 791/823,574/638 is 7/525074.
To find the highest common factor of 791,574, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The HCF of 791,574 is 7.
Lets's calculate GCF of 791,574
| 7 | 791, 574 |
| 113, 82 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 791,574 By Matching Biggest Common Factor Method
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 791,574 . The biggest common factor number is the GCF number.
So the greatest common factor 791,574 is 7.
Lets's calculate LCM of 823,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 525074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/525074
Therefore, the GCF of Fractions 791/823,574/638 is 7/525074
Least Common Multiple of 823,638 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 823,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,638) x common factors =1 x 1 = 1
LCM(823,638) = ( 823 × 638 ) / 1
LCM(823,638) = 525074 / 1
LCM(823,638) = 525074
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FAQs on GCF of Fractions of 791/823, 574/638
1. What is the HCF of 791,574?
The HCF of 791,574 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 791/823, 574/638?
Answer: GCF of Numerators as per given numbers 791/823, 574/638 is
GCF of Numerators i.e. for 791,574 is 7
LCM of denominators i.e. for 823,638 is 525074.
Thus, GCF of Fractions is 7/525074.Finally, GCF of Fractions for 791/823, 574/638 is 7/525074.