GCF of 3857/694, 9314/1442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3857/694, 9314/1442 i.e 1/500374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3857/694, 9314/1442.
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 3857/694,9314/1442?
Given fractions are 3857/694,9314/1442
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 3857/694,9314/1442, numerators are 3857,9314
Denominators are 694,1442
The GCF of 3857,9314 is 1 .
LCM of 694,1442 is 500374.
The greatest common factor of 3857/694,9314/1442 = [GCF of 3857,9314]/[LCM of 694,1442]= 1/500374
Therefore, the GCF of 3857/694,9314/1442 is 1/500374.
To find the highest common factor of 3857,9314, we have to find the factors of both numbers and list the highest common factor.
The factors of 3857 are 1, 7, 19, 29, 133, 203, 551, 3857
The factors of 9314 are 1, 2, 4657, 9314
The HCF of 3857,9314 is 1.
Lets's calculate GCF of 3857,9314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3857,9314 By Matching Biggest Common Factor Method
Now, list down the factors of 3857
:1,7,19,29,133,203,551,3857
Now, list down the factors of 9314
:1,2,4657,9314
Greatest Common Factor
We found the factors 3857,9314 . The biggest common factor number is the GCF number.
So the greatest common factor 3857,9314 is 1.
Lets's calculate LCM of 694,1442
| 2 | 694, 1442 |
| 347, 721 |
∴ So the LCM of the given numbers is 2 x 347 x 721 = 500374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500374
Therefore, the GCF of Fractions 3857/694,9314/1442 is 1/500374
Least Common Multiple of 694,1442 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 694,1442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,1442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,1442) x common factors =2 x 1 = 2
LCM(694,1442) = ( 694 × 1442 ) / 2
LCM(694,1442) = 1000748 / 2
LCM(694,1442) = 500374
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FAQs on GCF of Fractions of 3857/694, 9314/1442
1. What is the HCF of 3857,9314?
The HCF of 3857,9314 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 3857/694, 9314/1442?
Answer: GCF of Numerators as per given numbers 3857/694, 9314/1442 is
GCF of Numerators i.e. for 3857,9314 is 1
LCM of denominators i.e. for 694,1442 is 500374.
Thus, GCF of Fractions is 1/500374.Finally, GCF of Fractions for 3857/694, 9314/1442 is 1/500374.