GCF of 6388/168, 7782/5122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6388/168, 7782/5122 i.e 2/430248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6388/168, 7782/5122.
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 6388/168,7782/5122?
Given fractions are 6388/168,7782/5122
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 6388/168,7782/5122, numerators are 6388,7782
Denominators are 168,5122
The GCF of 6388,7782 is 2 .
LCM of 168,5122 is 430248.
The greatest common factor of 6388/168,7782/5122 = [GCF of 6388,7782]/[LCM of 168,5122]= 2/430248
Therefore, the GCF of 6388/168,7782/5122 is 2/430248.
To find the highest common factor of 6388,7782, we have to find the factors of both numbers and list the highest common factor.
The factors of 6388 are 1, 2, 4, 1597, 3194, 6388
The factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782
The HCF of 6388,7782 is 2.
Lets's calculate GCF of 6388,7782
| 2 | 6388, 7782 |
| 3194, 3891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6388,7782 By Matching Biggest Common Factor Method
Now, list down the factors of 6388
:1,2,4,1597,3194,6388
Now, list down the factors of 7782
:1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 6388,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 6388,7782 is 2.
Lets's calculate LCM of 168,5122
| 2 | 168, 5122 |
| 84, 2561 |
∴ So the LCM of the given numbers is 2 x 84 x 2561 = 430248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/430248
Therefore, the GCF of Fractions 6388/168,7782/5122 is 2/430248
Least Common Multiple of 168,5122 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 168,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,5122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,5122) x common factors =2 x 1 = 2
LCM(168,5122) = ( 168 × 5122 ) / 2
LCM(168,5122) = 860496 / 2
LCM(168,5122) = 430248
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FAQs on GCF of Fractions of 6388/168, 7782/5122
1. What is the HCF of 6388,7782?
The HCF of 6388,7782 is 2
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 6388/168, 7782/5122?
Answer: GCF of Numerators as per given numbers 6388/168, 7782/5122 is
GCF of Numerators i.e. for 6388,7782 is 2
LCM of denominators i.e. for 168,5122 is 430248.
Thus, GCF of Fractions is 2/430248.Finally, GCF of Fractions for 6388/168, 7782/5122 is 2/430248.