GCF of 6567/991, 7281/1722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6567/991, 7281/1722 i.e 3/1706502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6567/991, 7281/1722.
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 6567/991,7281/1722?
Given fractions are 6567/991,7281/1722
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 6567/991,7281/1722, numerators are 6567,7281
Denominators are 991,1722
The GCF of 6567,7281 is 3 .
LCM of 991,1722 is 1706502.
The greatest common factor of 6567/991,7281/1722 = [GCF of 6567,7281]/[LCM of 991,1722]= 3/1706502
Therefore, the GCF of 6567/991,7281/1722 is 3/1706502.
To find the highest common factor of 6567,7281, we have to find the factors of both numbers and list the highest common factor.
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The factors of 7281 are 1, 3, 9, 809, 2427, 7281
The HCF of 6567,7281 is 3.
Lets's calculate GCF of 6567,7281
| 3 | 6567, 7281 |
| 2189, 2427 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6567,7281 By Matching Biggest Common Factor Method
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Now, list down the factors of 7281
:1,3,9,809,2427,7281
Greatest Common Factor
We found the factors 6567,7281 . The biggest common factor number is the GCF number.
So the greatest common factor 6567,7281 is 3.
Lets's calculate LCM of 991,1722
Given numbers has no common factors except 1. So, there LCM is their product i.e 1706502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1706502
Therefore, the GCF of Fractions 6567/991,7281/1722 is 3/1706502
Least Common Multiple of 991,1722 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 991,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,1722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,1722) x common factors =1 x 1 = 1
LCM(991,1722) = ( 991 × 1722 ) / 1
LCM(991,1722) = 1706502 / 1
LCM(991,1722) = 1706502
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FAQs on GCF of Fractions of 6567/991, 7281/1722
1. What is the HCF of 6567,7281?
The HCF of 6567,7281 is 3
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 6567/991, 7281/1722?
Answer: GCF of Numerators as per given numbers 6567/991, 7281/1722 is
GCF of Numerators i.e. for 6567,7281 is 3
LCM of denominators i.e. for 991,1722 is 1706502.
Thus, GCF of Fractions is 3/1706502.Finally, GCF of Fractions for 6567/991, 7281/1722 is 3/1706502.