GCF of 2933/977, 9619/7964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2933/977, 9619/7964 i.e 1/7780828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2933/977, 9619/7964.
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 2933/977,9619/7964?
Given fractions are 2933/977,9619/7964
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 2933/977,9619/7964, numerators are 2933,9619
Denominators are 977,7964
The GCF of 2933,9619 is 1 .
LCM of 977,7964 is 7780828.
The greatest common factor of 2933/977,9619/7964 = [GCF of 2933,9619]/[LCM of 977,7964]= 1/7780828
Therefore, the GCF of 2933/977,9619/7964 is 1/7780828.
To find the highest common factor of 2933,9619, we have to find the factors of both numbers and list the highest common factor.
The factors of 2933 are 1, 7, 419, 2933
The factors of 9619 are 1, 9619
The HCF of 2933,9619 is 1.
Lets's calculate GCF of 2933,9619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2933,9619 By Matching Biggest Common Factor Method
Now, list down the factors of 2933
:1,7,419,2933
Now, list down the factors of 9619
:1,9619
Greatest Common Factor
We found the factors 2933,9619 . The biggest common factor number is the GCF number.
So the greatest common factor 2933,9619 is 1.
Lets's calculate LCM of 977,7964
Given numbers has no common factors except 1. So, there LCM is their product i.e 7780828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7780828
Therefore, the GCF of Fractions 2933/977,9619/7964 is 1/7780828
Least Common Multiple of 977,7964 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 977,7964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,7964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,7964) x common factors =1 x 1 = 1
LCM(977,7964) = ( 977 × 7964 ) / 1
LCM(977,7964) = 7780828 / 1
LCM(977,7964) = 7780828
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FAQs on GCF of Fractions of 2933/977, 9619/7964
1. What is the HCF of 2933,9619?
The HCF of 2933,9619 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 2933/977, 9619/7964?
Answer: GCF of Numerators as per given numbers 2933/977, 9619/7964 is
GCF of Numerators i.e. for 2933,9619 is 1
LCM of denominators i.e. for 977,7964 is 7780828.
Thus, GCF of Fractions is 1/7780828.Finally, GCF of Fractions for 2933/977, 9619/7964 is 1/7780828.