GCF of 1626/312, 4747/9709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1626/312, 4747/9709 i.e 1/3029208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1626/312, 4747/9709.
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 1626/312,4747/9709?
Given fractions are 1626/312,4747/9709
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 1626/312,4747/9709, numerators are 1626,4747
Denominators are 312,9709
The GCF of 1626,4747 is 1 .
LCM of 312,9709 is 3029208.
The greatest common factor of 1626/312,4747/9709 = [GCF of 1626,4747]/[LCM of 312,9709]= 1/3029208
Therefore, the GCF of 1626/312,4747/9709 is 1/3029208.
To find the highest common factor of 1626,4747, we have to find the factors of both numbers and list the highest common factor.
The factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626
The factors of 4747 are 1, 47, 101, 4747
The HCF of 1626,4747 is 1.
Lets's calculate GCF of 1626,4747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1626,4747 By Matching Biggest Common Factor Method
Now, list down the factors of 1626
:1,2,3,6,271,542,813,1626
Now, list down the factors of 4747
:1,47,101,4747
Greatest Common Factor
We found the factors 1626,4747 . The biggest common factor number is the GCF number.
So the greatest common factor 1626,4747 is 1.
Lets's calculate LCM of 312,9709
Given numbers has no common factors except 1. So, there LCM is their product i.e 3029208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3029208
Therefore, the GCF of Fractions 1626/312,4747/9709 is 1/3029208
Least Common Multiple of 312,9709 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 312,9709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,9709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,9709) x common factors =1 x 1 = 1
LCM(312,9709) = ( 312 × 9709 ) / 1
LCM(312,9709) = 3029208 / 1
LCM(312,9709) = 3029208
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FAQs on GCF of Fractions of 1626/312, 4747/9709
1. What is the HCF of 1626,4747?
The HCF of 1626,4747 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 1626/312, 4747/9709?
Answer: GCF of Numerators as per given numbers 1626/312, 4747/9709 is
GCF of Numerators i.e. for 1626,4747 is 1
LCM of denominators i.e. for 312,9709 is 3029208.
Thus, GCF of Fractions is 1/3029208.Finally, GCF of Fractions for 1626/312, 4747/9709 is 1/3029208.