GCF of 5743/379, 7820/557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5743/379, 7820/557 i.e 1/211103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5743/379, 7820/557.
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 5743/379,7820/557?
Given fractions are 5743/379,7820/557
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 5743/379,7820/557, numerators are 5743,7820
Denominators are 379,557
The GCF of 5743,7820 is 1 .
LCM of 379,557 is 211103.
The greatest common factor of 5743/379,7820/557 = [GCF of 5743,7820]/[LCM of 379,557]= 1/211103
Therefore, the GCF of 5743/379,7820/557 is 1/211103.
To find the highest common factor of 5743,7820, we have to find the factors of both numbers and list the highest common factor.
The factors of 5743 are 1, 5743
The factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820
The HCF of 5743,7820 is 1.
Lets's calculate GCF of 5743,7820
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5743,7820 By Matching Biggest Common Factor Method
Now, list down the factors of 5743
:1,5743
Now, list down the factors of 7820
:1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820
Greatest Common Factor
We found the factors 5743,7820 . The biggest common factor number is the GCF number.
So the greatest common factor 5743,7820 is 1.
Lets's calculate LCM of 379,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 211103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211103
Therefore, the GCF of Fractions 5743/379,7820/557 is 1/211103
Least Common Multiple of 379,557 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 379,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,557) x common factors =1 x 1 = 1
LCM(379,557) = ( 379 × 557 ) / 1
LCM(379,557) = 211103 / 1
LCM(379,557) = 211103
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FAQs on GCF of Fractions of 5743/379, 7820/557
1. What is the HCF of 5743,7820?
The HCF of 5743,7820 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 5743/379, 7820/557?
Answer: GCF of Numerators as per given numbers 5743/379, 7820/557 is
GCF of Numerators i.e. for 5743,7820 is 1
LCM of denominators i.e. for 379,557 is 211103.
Thus, GCF of Fractions is 1/211103.Finally, GCF of Fractions for 5743/379, 7820/557 is 1/211103.