GCF of 1579/628, 6983/3006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1579/628, 6983/3006 i.e 1/943884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1579/628, 6983/3006.
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 1579/628,6983/3006?
Given fractions are 1579/628,6983/3006
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 1579/628,6983/3006, numerators are 1579,6983
Denominators are 628,3006
The GCF of 1579,6983 is 1 .
LCM of 628,3006 is 943884.
The greatest common factor of 1579/628,6983/3006 = [GCF of 1579,6983]/[LCM of 628,3006]= 1/943884
Therefore, the GCF of 1579/628,6983/3006 is 1/943884.
To find the highest common factor of 1579,6983, we have to find the factors of both numbers and list the highest common factor.
The factors of 1579 are 1, 1579
The factors of 6983 are 1, 6983
The HCF of 1579,6983 is 1.
Lets's calculate GCF of 1579,6983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1579,6983 By Matching Biggest Common Factor Method
Now, list down the factors of 1579
:1,1579
Now, list down the factors of 6983
:1,6983
Greatest Common Factor
We found the factors 1579,6983 . The biggest common factor number is the GCF number.
So the greatest common factor 1579,6983 is 1.
Lets's calculate LCM of 628,3006
| 2 | 628, 3006 |
| 314, 1503 |
∴ So the LCM of the given numbers is 2 x 314 x 1503 = 943884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/943884
Therefore, the GCF of Fractions 1579/628,6983/3006 is 1/943884
Least Common Multiple of 628,3006 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 628,3006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,3006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(628,3006) x common factors =2 x 1 = 2
LCM(628,3006) = ( 628 × 3006 ) / 2
LCM(628,3006) = 1887768 / 2
LCM(628,3006) = 943884
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FAQs on GCF of Fractions of 1579/628, 6983/3006
1. What is the HCF of 1579,6983?
The HCF of 1579,6983 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 1579/628, 6983/3006?
Answer: GCF of Numerators as per given numbers 1579/628, 6983/3006 is
GCF of Numerators i.e. for 1579,6983 is 1
LCM of denominators i.e. for 628,3006 is 943884.
Thus, GCF of Fractions is 1/943884.Finally, GCF of Fractions for 1579/628, 6983/3006 is 1/943884.