GCF of 8383/742, 2227/1434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8383/742, 2227/1434 i.e 1/532014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8383/742, 2227/1434.
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 8383/742,2227/1434?
Given fractions are 8383/742,2227/1434
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 8383/742,2227/1434, numerators are 8383,2227
Denominators are 742,1434
The GCF of 8383,2227 is 1 .
LCM of 742,1434 is 532014.
The greatest common factor of 8383/742,2227/1434 = [GCF of 8383,2227]/[LCM of 742,1434]= 1/532014
Therefore, the GCF of 8383/742,2227/1434 is 1/532014.
To find the highest common factor of 8383,2227, we have to find the factors of both numbers and list the highest common factor.
The factors of 8383 are 1, 83, 101, 8383
The factors of 2227 are 1, 17, 131, 2227
The HCF of 8383,2227 is 1.
Lets's calculate GCF of 8383,2227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8383,2227 By Matching Biggest Common Factor Method
Now, list down the factors of 8383
:1,83,101,8383
Now, list down the factors of 2227
:1,17,131,2227
Greatest Common Factor
We found the factors 8383,2227 . The biggest common factor number is the GCF number.
So the greatest common factor 8383,2227 is 1.
Lets's calculate LCM of 742,1434
| 2 | 742, 1434 |
| 371, 717 |
∴ So the LCM of the given numbers is 2 x 371 x 717 = 532014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532014
Therefore, the GCF of Fractions 8383/742,2227/1434 is 1/532014
Least Common Multiple of 742,1434 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 742,1434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,1434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,1434) x common factors =2 x 1 = 2
LCM(742,1434) = ( 742 × 1434 ) / 2
LCM(742,1434) = 1064028 / 2
LCM(742,1434) = 532014
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FAQs on GCF of Fractions of 8383/742, 2227/1434
1. What is the HCF of 8383,2227?
The HCF of 8383,2227 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 8383/742, 2227/1434?
Answer: GCF of Numerators as per given numbers 8383/742, 2227/1434 is
GCF of Numerators i.e. for 8383,2227 is 1
LCM of denominators i.e. for 742,1434 is 532014.
Thus, GCF of Fractions is 1/532014.Finally, GCF of Fractions for 8383/742, 2227/1434 is 1/532014.