GCF of 4205/895, 3455/6746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4205/895, 3455/6746 i.e 5/6037670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4205/895, 3455/6746.
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 4205/895,3455/6746?
Given fractions are 4205/895,3455/6746
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 4205/895,3455/6746, numerators are 4205,3455
Denominators are 895,6746
The GCF of 4205,3455 is 5 .
LCM of 895,6746 is 6037670.
The greatest common factor of 4205/895,3455/6746 = [GCF of 4205,3455]/[LCM of 895,6746]= 5/6037670
Therefore, the GCF of 4205/895,3455/6746 is 5/6037670.
To find the highest common factor of 4205,3455, we have to find the factors of both numbers and list the highest common factor.
The factors of 4205 are 1, 5, 29, 145, 841, 4205
The factors of 3455 are 1, 5, 691, 3455
The HCF of 4205,3455 is 5.
Lets's calculate GCF of 4205,3455
| 5 | 4205, 3455 |
| 841, 691 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4205,3455 By Matching Biggest Common Factor Method
Now, list down the factors of 4205
:1,5,29,145,841,4205
Now, list down the factors of 3455
:1,5,691,3455
Greatest Common Factor
We found the factors 4205,3455 . The biggest common factor number is the GCF number.
So the greatest common factor 4205,3455 is 5.
Lets's calculate LCM of 895,6746
Given numbers has no common factors except 1. So, there LCM is their product i.e 6037670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6037670
Therefore, the GCF of Fractions 4205/895,3455/6746 is 5/6037670
Least Common Multiple of 895,6746 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 895,6746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,6746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,6746) x common factors =1 x 1 = 1
LCM(895,6746) = ( 895 × 6746 ) / 1
LCM(895,6746) = 6037670 / 1
LCM(895,6746) = 6037670
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FAQs on GCF of Fractions of 4205/895, 3455/6746
1. What is the HCF of 4205,3455?
The HCF of 4205,3455 is 5
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 4205/895, 3455/6746?
Answer: GCF of Numerators as per given numbers 4205/895, 3455/6746 is
GCF of Numerators i.e. for 4205,3455 is 5
LCM of denominators i.e. for 895,6746 is 6037670.
Thus, GCF of Fractions is 5/6037670.Finally, GCF of Fractions for 4205/895, 3455/6746 is 5/6037670.