GCF of 7277/661, 2988/795
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7277/661, 2988/795 i.e 1/525495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7277/661, 2988/795.
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 7277/661,2988/795?
Given fractions are 7277/661,2988/795
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 7277/661,2988/795, numerators are 7277,2988
Denominators are 661,795
The GCF of 7277,2988 is 1 .
LCM of 661,795 is 525495.
The greatest common factor of 7277/661,2988/795 = [GCF of 7277,2988]/[LCM of 661,795]= 1/525495
Therefore, the GCF of 7277/661,2988/795 is 1/525495.
To find the highest common factor of 7277,2988, we have to find the factors of both numbers and list the highest common factor.
The factors of 7277 are 1, 19, 383, 7277
The factors of 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988
The HCF of 7277,2988 is 1.
Lets's calculate GCF of 7277,2988
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7277,2988 By Matching Biggest Common Factor Method
Now, list down the factors of 7277
:1,19,383,7277
Now, list down the factors of 2988
:1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988
Greatest Common Factor
We found the factors 7277,2988 . The biggest common factor number is the GCF number.
So the greatest common factor 7277,2988 is 1.
Lets's calculate LCM of 661,795
Given numbers has no common factors except 1. So, there LCM is their product i.e 525495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/525495
Therefore, the GCF of Fractions 7277/661,2988/795 is 1/525495
Least Common Multiple of 661,795 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 661,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,795) x common factors =1 x 1 = 1
LCM(661,795) = ( 661 × 795 ) / 1
LCM(661,795) = 525495 / 1
LCM(661,795) = 525495
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FAQs on GCF of Fractions of 7277/661, 2988/795
1. What is the HCF of 7277,2988?
The HCF of 7277,2988 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 7277/661, 2988/795?
Answer: GCF of Numerators as per given numbers 7277/661, 2988/795 is
GCF of Numerators i.e. for 7277,2988 is 1
LCM of denominators i.e. for 661,795 is 525495.
Thus, GCF of Fractions is 1/525495.Finally, GCF of Fractions for 7277/661, 2988/795 is 1/525495.