GCF of 6714/675, 2038/5466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6714/675, 2038/5466 i.e 2/1229850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6714/675, 2038/5466.
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 6714/675,2038/5466?
Given fractions are 6714/675,2038/5466
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 6714/675,2038/5466, numerators are 6714,2038
Denominators are 675,5466
The GCF of 6714,2038 is 2 .
LCM of 675,5466 is 1229850.
The greatest common factor of 6714/675,2038/5466 = [GCF of 6714,2038]/[LCM of 675,5466]= 2/1229850
Therefore, the GCF of 6714/675,2038/5466 is 2/1229850.
To find the highest common factor of 6714,2038, we have to find the factors of both numbers and list the highest common factor.
The factors of 6714 are 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714
The factors of 2038 are 1, 2, 1019, 2038
The HCF of 6714,2038 is 2.
Lets's calculate GCF of 6714,2038
| 2 | 6714, 2038 |
| 3357, 1019 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6714,2038 By Matching Biggest Common Factor Method
Now, list down the factors of 6714
:1,2,3,6,9,18,373,746,1119,2238,3357,6714
Now, list down the factors of 2038
:1,2,1019,2038
Greatest Common Factor
We found the factors 6714,2038 . The biggest common factor number is the GCF number.
So the greatest common factor 6714,2038 is 2.
Lets's calculate LCM of 675,5466
| 3 | 675, 5466 |
| 225, 1822 |
∴ So the LCM of the given numbers is 3 x 225 x 1822 = 1229850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1229850
Therefore, the GCF of Fractions 6714/675,2038/5466 is 2/1229850
Least Common Multiple of 675,5466 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 675,5466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,5466) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(675,5466) x common factors =3 x 1 = 3
LCM(675,5466) = ( 675 × 5466 ) / 3
LCM(675,5466) = 3689550 / 3
LCM(675,5466) = 1229850
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FAQs on GCF of Fractions of 6714/675, 2038/5466
1. What is the HCF of 6714,2038?
The HCF of 6714,2038 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 6714/675, 2038/5466?
Answer: GCF of Numerators as per given numbers 6714/675, 2038/5466 is
GCF of Numerators i.e. for 6714,2038 is 2
LCM of denominators i.e. for 675,5466 is 1229850.
Thus, GCF of Fractions is 2/1229850.Finally, GCF of Fractions for 6714/675, 2038/5466 is 2/1229850.