GCF of 3562/425, 4218/6835
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3562/425, 4218/6835 i.e 2/580975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3562/425, 4218/6835.
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 3562/425,4218/6835?
Given fractions are 3562/425,4218/6835
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 3562/425,4218/6835, numerators are 3562,4218
Denominators are 425,6835
The GCF of 3562,4218 is 2 .
LCM of 425,6835 is 580975.
The greatest common factor of 3562/425,4218/6835 = [GCF of 3562,4218]/[LCM of 425,6835]= 2/580975
Therefore, the GCF of 3562/425,4218/6835 is 2/580975.
To find the highest common factor of 3562,4218, we have to find the factors of both numbers and list the highest common factor.
The factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562
The factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218
The HCF of 3562,4218 is 2.
Lets's calculate GCF of 3562,4218
| 2 | 3562, 4218 |
| 1781, 2109 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3562,4218 By Matching Biggest Common Factor Method
Now, list down the factors of 3562
:1,2,13,26,137,274,1781,3562
Now, list down the factors of 4218
:1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Greatest Common Factor
We found the factors 3562,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 3562,4218 is 2.
Lets's calculate LCM of 425,6835
| 5 | 425, 6835 |
| 85, 1367 |
∴ So the LCM of the given numbers is 5 x 85 x 1367 = 580975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/580975
Therefore, the GCF of Fractions 3562/425,4218/6835 is 2/580975
Least Common Multiple of 425,6835 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 425,6835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,6835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(425,6835) x common factors =5 x 1 = 5
LCM(425,6835) = ( 425 × 6835 ) / 5
LCM(425,6835) = 2904875 / 5
LCM(425,6835) = 580975
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3562/425, 4218/6835
1. What is the HCF of 3562,4218?
The HCF of 3562,4218 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 3562/425, 4218/6835?
Answer: GCF of Numerators as per given numbers 3562/425, 4218/6835 is
GCF of Numerators i.e. for 3562,4218 is 2
LCM of denominators i.e. for 425,6835 is 580975.
Thus, GCF of Fractions is 2/580975.Finally, GCF of Fractions for 3562/425, 4218/6835 is 2/580975.