GCF of 4206/736, 4655/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4206/736, 4655/302 i.e 1/111136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4206/736, 4655/302.
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 4206/736,4655/302?
Given fractions are 4206/736,4655/302
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 4206/736,4655/302, numerators are 4206,4655
Denominators are 736,302
The GCF of 4206,4655 is 1 .
LCM of 736,302 is 111136.
The greatest common factor of 4206/736,4655/302 = [GCF of 4206,4655]/[LCM of 736,302]= 1/111136
Therefore, the GCF of 4206/736,4655/302 is 1/111136.
To find the highest common factor of 4206,4655, we have to find the factors of both numbers and list the highest common factor.
The factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206
The factors of 4655 are 1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655
The HCF of 4206,4655 is 1.
Lets's calculate GCF of 4206,4655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4206,4655 By Matching Biggest Common Factor Method
Now, list down the factors of 4206
:1,2,3,6,701,1402,2103,4206
Now, list down the factors of 4655
:1,5,7,19,35,49,95,133,245,665,931,4655
Greatest Common Factor
We found the factors 4206,4655 . The biggest common factor number is the GCF number.
So the greatest common factor 4206,4655 is 1.
Lets's calculate LCM of 736,302
| 2 | 736, 302 |
| 368, 151 |
∴ So the LCM of the given numbers is 2 x 368 x 151 = 111136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111136
Therefore, the GCF of Fractions 4206/736,4655/302 is 1/111136
Least Common Multiple of 736,302 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 736,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,302) x common factors =2 x 1 = 2
LCM(736,302) = ( 736 × 302 ) / 2
LCM(736,302) = 222272 / 2
LCM(736,302) = 111136
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4206/736, 4655/302
1. What is the HCF of 4206,4655?
The HCF of 4206,4655 is 1
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 4206/736, 4655/302?
Answer: GCF of Numerators as per given numbers 4206/736, 4655/302 is
GCF of Numerators i.e. for 4206,4655 is 1
LCM of denominators i.e. for 736,302 is 111136.
Thus, GCF of Fractions is 1/111136.Finally, GCF of Fractions for 4206/736, 4655/302 is 1/111136.