GCF of 6821/927, 1992/7557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6821/927, 1992/7557 i.e 1/2335113 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6821/927, 1992/7557.
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 6821/927,1992/7557?
Given fractions are 6821/927,1992/7557
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 6821/927,1992/7557, numerators are 6821,1992
Denominators are 927,7557
The GCF of 6821,1992 is 1 .
LCM of 927,7557 is 2335113.
The greatest common factor of 6821/927,1992/7557 = [GCF of 6821,1992]/[LCM of 927,7557]= 1/2335113
Therefore, the GCF of 6821/927,1992/7557 is 1/2335113.
To find the highest common factor of 6821,1992, we have to find the factors of both numbers and list the highest common factor.
The factors of 6821 are 1, 19, 359, 6821
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992
The HCF of 6821,1992 is 1.
Lets's calculate GCF of 6821,1992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6821,1992 By Matching Biggest Common Factor Method
Now, list down the factors of 6821
:1,19,359,6821
Now, list down the factors of 1992
:1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Greatest Common Factor
We found the factors 6821,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 6821,1992 is 1.
Lets's calculate LCM of 927,7557
| 3 | 927, 7557 |
| 309, 2519 |
∴ So the LCM of the given numbers is 3 x 309 x 2519 = 2335113
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2335113
Therefore, the GCF of Fractions 6821/927,1992/7557 is 1/2335113
Least Common Multiple of 927,7557 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 927,7557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,7557) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,7557) x common factors =3 x 1 = 3
LCM(927,7557) = ( 927 × 7557 ) / 3
LCM(927,7557) = 7005339 / 3
LCM(927,7557) = 2335113
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FAQs on GCF of Fractions of 6821/927, 1992/7557
1. What is the HCF of 6821,1992?
The HCF of 6821,1992 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 6821/927, 1992/7557?
Answer: GCF of Numerators as per given numbers 6821/927, 1992/7557 is
GCF of Numerators i.e. for 6821,1992 is 1
LCM of denominators i.e. for 927,7557 is 2335113.
Thus, GCF of Fractions is 1/2335113.Finally, GCF of Fractions for 6821/927, 1992/7557 is 1/2335113.