GCF of 389/713, 107/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 389/713, 107/434 i.e 1/9982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/713, 107/434.
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 389/713,107/434?
Given fractions are 389/713,107/434
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 389/713,107/434, numerators are 389,107
Denominators are 713,434
The GCF of 389,107 is 1 .
LCM of 713,434 is 9982.
The greatest common factor of 389/713,107/434 = [GCF of 389,107]/[LCM of 713,434]= 1/9982
Therefore, the GCF of 389/713,107/434 is 1/9982.
To find the highest common factor of 389,107, we have to find the factors of both numbers and list the highest common factor.
The factors of 389 are 1, 389
The factors of 107 are 1, 107
The HCF of 389,107 is 1.
Lets's calculate GCF of 389,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 389,107 By Matching Biggest Common Factor Method
Now, list down the factors of 389
:1,389
Now, list down the factors of 107
:1,107
Greatest Common Factor
We found the factors 389,107 . The biggest common factor number is the GCF number.
So the greatest common factor 389,107 is 1.
Lets's calculate LCM of 713,434
| 31 | 713, 434 |
| 23, 14 |
∴ So the LCM of the given numbers is 31 x 23 x 14 = 9982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9982
Therefore, the GCF of Fractions 389/713,107/434 is 1/9982
Least Common Multiple of 713,434 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 713,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,434) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(713,434) x common factors =31 x 1 = 31
LCM(713,434) = ( 713 × 434 ) / 31
LCM(713,434) = 309442 / 31
LCM(713,434) = 9982
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FAQs on GCF of Fractions of 389/713, 107/434
1. What is the HCF of 389,107?
The HCF of 389,107 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 389/713, 107/434?
Answer: GCF of Numerators as per given numbers 389/713, 107/434 is
GCF of Numerators i.e. for 389,107 is 1
LCM of denominators i.e. for 713,434 is 9982.
Thus, GCF of Fractions is 1/9982.Finally, GCF of Fractions for 389/713, 107/434 is 1/9982.