GCF of 7782/222, 6486/7113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7782/222, 6486/7113 i.e 6/526362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7782/222, 6486/7113.
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 7782/222,6486/7113?
Given fractions are 7782/222,6486/7113
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 7782/222,6486/7113, numerators are 7782,6486
Denominators are 222,7113
The GCF of 7782,6486 is 6 .
LCM of 222,7113 is 526362.
The greatest common factor of 7782/222,6486/7113 = [GCF of 7782,6486]/[LCM of 222,7113]= 6/526362
Therefore, the GCF of 7782/222,6486/7113 is 6/526362.
To find the highest common factor of 7782,6486, we have to find the factors of both numbers and list the highest common factor.
The factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782
The factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486
The HCF of 7782,6486 is 6.
Lets's calculate GCF of 7782,6486
| 2 | 7782, 6486 |
| 3 | 3891, 3243 |
| 1297, 1081 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7782,6486 By Matching Biggest Common Factor Method
Now, list down the factors of 7782
:1,2,3,6,1297,2594,3891,7782
Now, list down the factors of 6486
:1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486
Greatest Common Factor
We found the factors 7782,6486 . The biggest common factor number is the GCF number.
So the greatest common factor 7782,6486 is 6.
Lets's calculate LCM of 222,7113
| 3 | 222, 7113 |
| 74, 2371 |
∴ So the LCM of the given numbers is 3 x 74 x 2371 = 526362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/526362
Therefore, the GCF of Fractions 7782/222,6486/7113 is 6/526362
Least Common Multiple of 222,7113 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 222,7113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,7113) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(222,7113) x common factors =3 x 1 = 3
LCM(222,7113) = ( 222 × 7113 ) / 3
LCM(222,7113) = 1579086 / 3
LCM(222,7113) = 526362
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FAQs on GCF of Fractions of 7782/222, 6486/7113
1. What is the HCF of 7782,6486?
The HCF of 7782,6486 is 6
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 7782/222, 6486/7113?
Answer: GCF of Numerators as per given numbers 7782/222, 6486/7113 is
GCF of Numerators i.e. for 7782,6486 is 6
LCM of denominators i.e. for 222,7113 is 526362.
Thus, GCF of Fractions is 6/526362.Finally, GCF of Fractions for 7782/222, 6486/7113 is 6/526362.