GCF of 6520/675, 6814/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6520/675, 6814/111 i.e 2/24975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6520/675, 6814/111.
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 6520/675,6814/111?
Given fractions are 6520/675,6814/111
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 6520/675,6814/111, numerators are 6520,6814
Denominators are 675,111
The GCF of 6520,6814 is 2 .
LCM of 675,111 is 24975.
The greatest common factor of 6520/675,6814/111 = [GCF of 6520,6814]/[LCM of 675,111]= 2/24975
Therefore, the GCF of 6520/675,6814/111 is 2/24975.
To find the highest common factor of 6520,6814, we have to find the factors of both numbers and list the highest common factor.
The factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520
The factors of 6814 are 1, 2, 3407, 6814
The HCF of 6520,6814 is 2.
Lets's calculate GCF of 6520,6814
| 2 | 6520, 6814 |
| 3260, 3407 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6520,6814 By Matching Biggest Common Factor Method
Now, list down the factors of 6520
:1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Now, list down the factors of 6814
:1,2,3407,6814
Greatest Common Factor
We found the factors 6520,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 6520,6814 is 2.
Lets's calculate LCM of 675,111
| 3 | 675, 111 |
| 225, 37 |
∴ So the LCM of the given numbers is 3 x 225 x 37 = 24975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24975
Therefore, the GCF of Fractions 6520/675,6814/111 is 2/24975
Least Common Multiple of 675,111 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 675,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(675,111) x common factors =3 x 1 = 3
LCM(675,111) = ( 675 × 111 ) / 3
LCM(675,111) = 74925 / 3
LCM(675,111) = 24975
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6520/675, 6814/111
1. What is the HCF of 6520,6814?
The HCF of 6520,6814 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 6520/675, 6814/111?
Answer: GCF of Numerators as per given numbers 6520/675, 6814/111 is
GCF of Numerators i.e. for 6520,6814 is 2
LCM of denominators i.e. for 675,111 is 24975.
Thus, GCF of Fractions is 2/24975.Finally, GCF of Fractions for 6520/675, 6814/111 is 2/24975.