GCF of 1705/439, 3140/5306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1705/439, 3140/5306 i.e 5/2329334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1705/439, 3140/5306.
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 1705/439,3140/5306?
Given fractions are 1705/439,3140/5306
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 1705/439,3140/5306, numerators are 1705,3140
Denominators are 439,5306
The GCF of 1705,3140 is 5 .
LCM of 439,5306 is 2329334.
The greatest common factor of 1705/439,3140/5306 = [GCF of 1705,3140]/[LCM of 439,5306]= 5/2329334
Therefore, the GCF of 1705/439,3140/5306 is 5/2329334.
To find the highest common factor of 1705,3140, we have to find the factors of both numbers and list the highest common factor.
The factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The HCF of 1705,3140 is 5.
Lets's calculate GCF of 1705,3140
| 5 | 1705, 3140 |
| 341, 628 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1705,3140 By Matching Biggest Common Factor Method
Now, list down the factors of 1705
:1,5,11,31,55,155,341,1705
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Greatest Common Factor
We found the factors 1705,3140 . The biggest common factor number is the GCF number.
So the greatest common factor 1705,3140 is 5.
Lets's calculate LCM of 439,5306
Given numbers has no common factors except 1. So, there LCM is their product i.e 2329334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2329334
Therefore, the GCF of Fractions 1705/439,3140/5306 is 5/2329334
Least Common Multiple of 439,5306 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 439,5306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,5306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,5306) x common factors =1 x 1 = 1
LCM(439,5306) = ( 439 × 5306 ) / 1
LCM(439,5306) = 2329334 / 1
LCM(439,5306) = 2329334
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FAQs on GCF of Fractions of 1705/439, 3140/5306
1. What is the HCF of 1705,3140?
The HCF of 1705,3140 is 5
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 1705/439, 3140/5306?
Answer: GCF of Numerators as per given numbers 1705/439, 3140/5306 is
GCF of Numerators i.e. for 1705,3140 is 5
LCM of denominators i.e. for 439,5306 is 2329334.
Thus, GCF of Fractions is 5/2329334.Finally, GCF of Fractions for 1705/439, 3140/5306 is 5/2329334.