GCF of 6772/701, 4218/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6772/701, 4218/493 i.e 2/345593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6772/701, 4218/493.
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 6772/701,4218/493?
Given fractions are 6772/701,4218/493
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 6772/701,4218/493, numerators are 6772,4218
Denominators are 701,493
The GCF of 6772,4218 is 2 .
LCM of 701,493 is 345593.
The greatest common factor of 6772/701,4218/493 = [GCF of 6772,4218]/[LCM of 701,493]= 2/345593
Therefore, the GCF of 6772/701,4218/493 is 2/345593.
To find the highest common factor of 6772,4218, we have to find the factors of both numbers and list the highest common factor.
The factors of 6772 are 1, 2, 4, 1693, 3386, 6772
The factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218
The HCF of 6772,4218 is 2.
Lets's calculate GCF of 6772,4218
| 2 | 6772, 4218 |
| 3386, 2109 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6772,4218 By Matching Biggest Common Factor Method
Now, list down the factors of 6772
:1,2,4,1693,3386,6772
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 6772,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 6772,4218 is 2.
Lets's calculate LCM of 701,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 345593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/345593
Therefore, the GCF of Fractions 6772/701,4218/493 is 2/345593
Least Common Multiple of 701,493 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 701,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,493) x common factors =1 x 1 = 1
LCM(701,493) = ( 701 × 493 ) / 1
LCM(701,493) = 345593 / 1
LCM(701,493) = 345593
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6772/701, 4218/493
1. What is the HCF of 6772,4218?
The HCF of 6772,4218 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 6772/701, 4218/493?
Answer: GCF of Numerators as per given numbers 6772/701, 4218/493 is
GCF of Numerators i.e. for 6772,4218 is 2
LCM of denominators i.e. for 701,493 is 345593.
Thus, GCF of Fractions is 2/345593.Finally, GCF of Fractions for 6772/701, 4218/493 is 2/345593.