GCF of 141/434, 8694/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/434, 8694/706 i.e 3/153202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/434, 8694/706.
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 141/434,8694/706?
Given fractions are 141/434,8694/706
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 141/434,8694/706, numerators are 141,8694
Denominators are 434,706
The GCF of 141,8694 is 3 .
LCM of 434,706 is 153202.
The greatest common factor of 141/434,8694/706 = [GCF of 141,8694]/[LCM of 434,706]= 3/153202
Therefore, the GCF of 141/434,8694/706 is 3/153202.
To find the highest common factor of 141,8694, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The HCF of 141,8694 is 3.
Lets's calculate GCF of 141,8694
| 3 | 141, 8694 |
| 47, 2898 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 141,8694 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Greatest Common Factor
We found the factors 141,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 141,8694 is 3.
Lets's calculate LCM of 434,706
| 2 | 434, 706 |
| 217, 353 |
∴ So the LCM of the given numbers is 2 x 217 x 353 = 153202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/153202
Therefore, the GCF of Fractions 141/434,8694/706 is 3/153202
Least Common Multiple of 434,706 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 434,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,706) x common factors =2 x 1 = 2
LCM(434,706) = ( 434 × 706 ) / 2
LCM(434,706) = 306404 / 2
LCM(434,706) = 153202
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 141/434, 8694/706
1. What is the HCF of 141,8694?
The HCF of 141,8694 is 3
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 141/434, 8694/706?
Answer: GCF of Numerators as per given numbers 141/434, 8694/706 is
GCF of Numerators i.e. for 141,8694 is 3
LCM of denominators i.e. for 434,706 is 153202.
Thus, GCF of Fractions is 3/153202.Finally, GCF of Fractions for 141/434, 8694/706 is 3/153202.