GCF of 5780/838, 1713/847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5780/838, 1713/847 i.e 1/709786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5780/838, 1713/847.
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 5780/838,1713/847?
Given fractions are 5780/838,1713/847
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 5780/838,1713/847, numerators are 5780,1713
Denominators are 838,847
The GCF of 5780,1713 is 1 .
LCM of 838,847 is 709786.
The greatest common factor of 5780/838,1713/847 = [GCF of 5780,1713]/[LCM of 838,847]= 1/709786
Therefore, the GCF of 5780/838,1713/847 is 1/709786.
To find the highest common factor of 5780,1713, we have to find the factors of both numbers and list the highest common factor.
The factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
The factors of 1713 are 1, 3, 571, 1713
The HCF of 5780,1713 is 1.
Lets's calculate GCF of 5780,1713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5780,1713 By Matching Biggest Common Factor Method
Now, list down the factors of 5780
:1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Now, list down the factors of 1713
:1,3,571,1713
Greatest Common Factor
We found the factors 5780,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 5780,1713 is 1.
Lets's calculate LCM of 838,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 709786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709786
Therefore, the GCF of Fractions 5780/838,1713/847 is 1/709786
Least Common Multiple of 838,847 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 838,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,847) x common factors =1 x 1 = 1
LCM(838,847) = ( 838 × 847 ) / 1
LCM(838,847) = 709786 / 1
LCM(838,847) = 709786
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FAQs on GCF of Fractions of 5780/838, 1713/847
1. What is the HCF of 5780,1713?
The HCF of 5780,1713 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 5780/838, 1713/847?
Answer: GCF of Numerators as per given numbers 5780/838, 1713/847 is
GCF of Numerators i.e. for 5780,1713 is 1
LCM of denominators i.e. for 838,847 is 709786.
Thus, GCF of Fractions is 1/709786.Finally, GCF of Fractions for 5780/838, 1713/847 is 1/709786.