GCF of 7761/273, 1984/2980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7761/273, 1984/2980 i.e 1/813540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7761/273, 1984/2980.
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 7761/273,1984/2980?
Given fractions are 7761/273,1984/2980
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 7761/273,1984/2980, numerators are 7761,1984
Denominators are 273,2980
The GCF of 7761,1984 is 1 .
LCM of 273,2980 is 813540.
The greatest common factor of 7761/273,1984/2980 = [GCF of 7761,1984]/[LCM of 273,2980]= 1/813540
Therefore, the GCF of 7761/273,1984/2980 is 1/813540.
To find the highest common factor of 7761,1984, we have to find the factors of both numbers and list the highest common factor.
The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761
The factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984
The HCF of 7761,1984 is 1.
Lets's calculate GCF of 7761,1984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7761,1984 By Matching Biggest Common Factor Method
Now, list down the factors of 7761
:1,3,13,39,199,597,2587,7761
Now, list down the factors of 1984
:1,2,4,8,16,31,32,62,64,124,248,496,992,1984
Greatest Common Factor
We found the factors 7761,1984 . The biggest common factor number is the GCF number.
So the greatest common factor 7761,1984 is 1.
Lets's calculate LCM of 273,2980
Given numbers has no common factors except 1. So, there LCM is their product i.e 813540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/813540
Therefore, the GCF of Fractions 7761/273,1984/2980 is 1/813540
Least Common Multiple of 273,2980 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 273,2980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,2980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,2980) x common factors =1 x 1 = 1
LCM(273,2980) = ( 273 × 2980 ) / 1
LCM(273,2980) = 813540 / 1
LCM(273,2980) = 813540
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FAQs on GCF of Fractions of 7761/273, 1984/2980
1. What is the HCF of 7761,1984?
The HCF of 7761,1984 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 7761/273, 1984/2980?
Answer: GCF of Numerators as per given numbers 7761/273, 1984/2980 is
GCF of Numerators i.e. for 7761,1984 is 1
LCM of denominators i.e. for 273,2980 is 813540.
Thus, GCF of Fractions is 1/813540.Finally, GCF of Fractions for 7761/273, 1984/2980 is 1/813540.