GCF of 6677/423, 7758/138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6677/423, 7758/138 i.e 1/19458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6677/423, 7758/138.
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 6677/423,7758/138?
Given fractions are 6677/423,7758/138
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 6677/423,7758/138, numerators are 6677,7758
Denominators are 423,138
The GCF of 6677,7758 is 1 .
LCM of 423,138 is 19458.
The greatest common factor of 6677/423,7758/138 = [GCF of 6677,7758]/[LCM of 423,138]= 1/19458
Therefore, the GCF of 6677/423,7758/138 is 1/19458.
To find the highest common factor of 6677,7758, we have to find the factors of both numbers and list the highest common factor.
The factors of 6677 are 1, 11, 607, 6677
The factors of 7758 are 1, 2, 3, 6, 9, 18, 431, 862, 1293, 2586, 3879, 7758
The HCF of 6677,7758 is 1.
Lets's calculate GCF of 6677,7758
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6677,7758 By Matching Biggest Common Factor Method
Now, list down the factors of 6677
:1,11,607,6677
Now, list down the factors of 7758
:1,2,3,6,9,18,431,862,1293,2586,3879,7758
Greatest Common Factor
We found the factors 6677,7758 . The biggest common factor number is the GCF number.
So the greatest common factor 6677,7758 is 1.
Lets's calculate LCM of 423,138
| 3 | 423, 138 |
| 141, 46 |
∴ So the LCM of the given numbers is 3 x 141 x 46 = 19458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19458
Therefore, the GCF of Fractions 6677/423,7758/138 is 1/19458
Least Common Multiple of 423,138 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 423,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,138) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,138) x common factors =3 x 1 = 3
LCM(423,138) = ( 423 × 138 ) / 3
LCM(423,138) = 58374 / 3
LCM(423,138) = 19458
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6677/423, 7758/138
1. What is the HCF of 6677,7758?
The HCF of 6677,7758 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 6677/423, 7758/138?
Answer: GCF of Numerators as per given numbers 6677/423, 7758/138 is
GCF of Numerators i.e. for 6677,7758 is 1
LCM of denominators i.e. for 423,138 is 19458.
Thus, GCF of Fractions is 1/19458.Finally, GCF of Fractions for 6677/423, 7758/138 is 1/19458.