GCF of 6749/873, 1713/782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6749/873, 1713/782 i.e 1/682686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6749/873, 1713/782.
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 6749/873,1713/782?
Given fractions are 6749/873,1713/782
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 6749/873,1713/782, numerators are 6749,1713
Denominators are 873,782
The GCF of 6749,1713 is 1 .
LCM of 873,782 is 682686.
The greatest common factor of 6749/873,1713/782 = [GCF of 6749,1713]/[LCM of 873,782]= 1/682686
Therefore, the GCF of 6749/873,1713/782 is 1/682686.
To find the highest common factor of 6749,1713, we have to find the factors of both numbers and list the highest common factor.
The factors of 6749 are 1, 17, 397, 6749
The factors of 1713 are 1, 3, 571, 1713
The HCF of 6749,1713 is 1.
Lets's calculate GCF of 6749,1713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6749,1713 By Matching Biggest Common Factor Method
Now, list down the factors of 6749
:1,17,397,6749
Now, list down the factors of 1713
:1,3,571,1713
Greatest Common Factor
We found the factors 6749,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 6749,1713 is 1.
Lets's calculate LCM of 873,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 682686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/682686
Therefore, the GCF of Fractions 6749/873,1713/782 is 1/682686
Least Common Multiple of 873,782 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 873,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,782) x common factors =1 x 1 = 1
LCM(873,782) = ( 873 × 782 ) / 1
LCM(873,782) = 682686 / 1
LCM(873,782) = 682686
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FAQs on GCF of Fractions of 6749/873, 1713/782
1. What is the HCF of 6749,1713?
The HCF of 6749,1713 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 6749/873, 1713/782?
Answer: GCF of Numerators as per given numbers 6749/873, 1713/782 is
GCF of Numerators i.e. for 6749,1713 is 1
LCM of denominators i.e. for 873,782 is 682686.
Thus, GCF of Fractions is 1/682686.Finally, GCF of Fractions for 6749/873, 1713/782 is 1/682686.