GCF of 3031/497, 9622/7820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3031/497, 9622/7820 i.e 1/3886540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3031/497, 9622/7820.
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 3031/497,9622/7820?
Given fractions are 3031/497,9622/7820
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 3031/497,9622/7820, numerators are 3031,9622
Denominators are 497,7820
The GCF of 3031,9622 is 1 .
LCM of 497,7820 is 3886540.
The greatest common factor of 3031/497,9622/7820 = [GCF of 3031,9622]/[LCM of 497,7820]= 1/3886540
Therefore, the GCF of 3031/497,9622/7820 is 1/3886540.
To find the highest common factor of 3031,9622, we have to find the factors of both numbers and list the highest common factor.
The factors of 3031 are 1, 7, 433, 3031
The factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622
The HCF of 3031,9622 is 1.
Lets's calculate GCF of 3031,9622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3031,9622 By Matching Biggest Common Factor Method
Now, list down the factors of 3031
:1,7,433,3031
Now, list down the factors of 9622
:1,2,17,34,283,566,4811,9622
Greatest Common Factor
We found the factors 3031,9622 . The biggest common factor number is the GCF number.
So the greatest common factor 3031,9622 is 1.
Lets's calculate LCM of 497,7820
Given numbers has no common factors except 1. So, there LCM is their product i.e 3886540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3886540
Therefore, the GCF of Fractions 3031/497,9622/7820 is 1/3886540
Least Common Multiple of 497,7820 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 497,7820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,7820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,7820) x common factors =1 x 1 = 1
LCM(497,7820) = ( 497 × 7820 ) / 1
LCM(497,7820) = 3886540 / 1
LCM(497,7820) = 3886540
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FAQs on GCF of Fractions of 3031/497, 9622/7820
1. What is the HCF of 3031,9622?
The HCF of 3031,9622 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 3031/497, 9622/7820?
Answer: GCF of Numerators as per given numbers 3031/497, 9622/7820 is
GCF of Numerators i.e. for 3031,9622 is 1
LCM of denominators i.e. for 497,7820 is 3886540.
Thus, GCF of Fractions is 1/3886540.Finally, GCF of Fractions for 3031/497, 9622/7820 is 1/3886540.