GCF of 341/176, 682/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 341/176, 682/134 i.e 341/11792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/176, 682/134.
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 341/176,682/134?
Given fractions are 341/176,682/134
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 341/176,682/134, numerators are 341,682
Denominators are 176,134
The GCF of 341,682 is 341 .
LCM of 176,134 is 11792.
The greatest common factor of 341/176,682/134 = [GCF of 341,682]/[LCM of 176,134]= 341/11792
Therefore, the GCF of 341/176,682/134 is 341/11792.
To find the highest common factor of 341,682, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 341,682 is 341.
Lets's calculate GCF of 341,682
| 11 | 341, 682 |
| 31 | 31, 62 |
| 1, 2 |
∴ So the GCF of the given numbers is 11 x 31 = 341
Greatest Common Factor of 341,682 By Matching Biggest Common Factor Method
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 341,682 . The biggest common factor number is the GCF number.
So the greatest common factor 341,682 is 341.
Lets's calculate LCM of 176,134
| 2 | 176, 134 |
| 88, 67 |
∴ So the LCM of the given numbers is 2 x 88 x 67 = 11792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 341/11792
Therefore, the GCF of Fractions 341/176,682/134 is 341/11792
Least Common Multiple of 176,134 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 176,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(176,134) x common factors =2 x 1 = 2
LCM(176,134) = ( 176 × 134 ) / 2
LCM(176,134) = 23584 / 2
LCM(176,134) = 11792
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FAQs on GCF of Fractions of 341/176, 682/134
1. What is the HCF of 341,682?
The HCF of 341,682 is 341
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 341/176, 682/134?
Answer: GCF of Numerators as per given numbers 341/176, 682/134 is
GCF of Numerators i.e. for 341,682 is 341
LCM of denominators i.e. for 176,134 is 11792.
Thus, GCF of Fractions is 341/11792.Finally, GCF of Fractions for 341/176, 682/134 is 341/11792.