GCF of 7973/628, 4206/6519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7973/628, 4206/6519 i.e 1/4093932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7973/628, 4206/6519.
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 7973/628,4206/6519?
Given fractions are 7973/628,4206/6519
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 7973/628,4206/6519, numerators are 7973,4206
Denominators are 628,6519
The GCF of 7973,4206 is 1 .
LCM of 628,6519 is 4093932.
The greatest common factor of 7973/628,4206/6519 = [GCF of 7973,4206]/[LCM of 628,6519]= 1/4093932
Therefore, the GCF of 7973/628,4206/6519 is 1/4093932.
To find the highest common factor of 7973,4206, we have to find the factors of both numbers and list the highest common factor.
The factors of 7973 are 1, 7, 17, 67, 119, 469, 1139, 7973
The factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206
The HCF of 7973,4206 is 1.
Lets's calculate GCF of 7973,4206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7973,4206 By Matching Biggest Common Factor Method
Now, list down the factors of 7973
:1,7,17,67,119,469,1139,7973
Now, list down the factors of 4206
:1,2,3,6,701,1402,2103,4206
Greatest Common Factor
We found the factors 7973,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,4206 is 1.
Lets's calculate LCM of 628,6519
Given numbers has no common factors except 1. So, there LCM is their product i.e 4093932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4093932
Therefore, the GCF of Fractions 7973/628,4206/6519 is 1/4093932
Least Common Multiple of 628,6519 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 628,6519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,6519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,6519) x common factors =1 x 1 = 1
LCM(628,6519) = ( 628 × 6519 ) / 1
LCM(628,6519) = 4093932 / 1
LCM(628,6519) = 4093932
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FAQs on GCF of Fractions of 7973/628, 4206/6519
1. What is the HCF of 7973,4206?
The HCF of 7973,4206 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 7973/628, 4206/6519?
Answer: GCF of Numerators as per given numbers 7973/628, 4206/6519 is
GCF of Numerators i.e. for 7973,4206 is 1
LCM of denominators i.e. for 628,6519 is 4093932.
Thus, GCF of Fractions is 1/4093932.Finally, GCF of Fractions for 7973/628, 4206/6519 is 1/4093932.