GCF of 6473/804, 1739/9970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6473/804, 1739/9970 i.e 1/4007940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6473/804, 1739/9970.
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 6473/804,1739/9970?
Given fractions are 6473/804,1739/9970
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 6473/804,1739/9970, numerators are 6473,1739
Denominators are 804,9970
The GCF of 6473,1739 is 1 .
LCM of 804,9970 is 4007940.
The greatest common factor of 6473/804,1739/9970 = [GCF of 6473,1739]/[LCM of 804,9970]= 1/4007940
Therefore, the GCF of 6473/804,1739/9970 is 1/4007940.
To find the highest common factor of 6473,1739, we have to find the factors of both numbers and list the highest common factor.
The factors of 6473 are 1, 6473
The factors of 1739 are 1, 37, 47, 1739
The HCF of 6473,1739 is 1.
Lets's calculate GCF of 6473,1739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6473,1739 By Matching Biggest Common Factor Method
Now, list down the factors of 6473
:1,6473
Now, list down the factors of 1739
:1,37,47,1739
Greatest Common Factor
We found the factors 6473,1739 . The biggest common factor number is the GCF number.
So the greatest common factor 6473,1739 is 1.
Lets's calculate LCM of 804,9970
| 2 | 804, 9970 |
| 402, 4985 |
∴ So the LCM of the given numbers is 2 x 402 x 4985 = 4007940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4007940
Therefore, the GCF of Fractions 6473/804,1739/9970 is 1/4007940
Least Common Multiple of 804,9970 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 804,9970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,9970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,9970) x common factors =2 x 1 = 2
LCM(804,9970) = ( 804 × 9970 ) / 2
LCM(804,9970) = 8015880 / 2
LCM(804,9970) = 4007940
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FAQs on GCF of Fractions of 6473/804, 1739/9970
1. What is the HCF of 6473,1739?
The HCF of 6473,1739 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 6473/804, 1739/9970?
Answer: GCF of Numerators as per given numbers 6473/804, 1739/9970 is
GCF of Numerators i.e. for 6473,1739 is 1
LCM of denominators i.e. for 804,9970 is 4007940.
Thus, GCF of Fractions is 1/4007940.Finally, GCF of Fractions for 6473/804, 1739/9970 is 1/4007940.