GCF of 1685/456, 5750/540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1685/456, 5750/540 i.e 5/20520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1685/456, 5750/540.
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 1685/456,5750/540?
Given fractions are 1685/456,5750/540
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 1685/456,5750/540, numerators are 1685,5750
Denominators are 456,540
The GCF of 1685,5750 is 5 .
LCM of 456,540 is 20520.
The greatest common factor of 1685/456,5750/540 = [GCF of 1685,5750]/[LCM of 456,540]= 5/20520
Therefore, the GCF of 1685/456,5750/540 is 5/20520.
To find the highest common factor of 1685,5750, we have to find the factors of both numbers and list the highest common factor.
The factors of 1685 are 1, 5, 337, 1685
The factors of 5750 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 125, 230, 250, 575, 1150, 2875, 5750
The HCF of 1685,5750 is 5.
Lets's calculate GCF of 1685,5750
| 5 | 1685, 5750 |
| 337, 1150 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1685,5750 By Matching Biggest Common Factor Method
Now, list down the factors of 1685
:1,5,337,1685
Now, list down the factors of 5750
:1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Greatest Common Factor
We found the factors 1685,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 1685,5750 is 5.
Lets's calculate LCM of 456,540
| 2 | 456, 540 |
| 2 | 228, 270 |
| 3 | 114, 135 |
| 38, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 38 x 45 = 20520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20520
Therefore, the GCF of Fractions 1685/456,5750/540 is 5/20520
Least Common Multiple of 456,540 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 456,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,540) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(456,540) x common factors =12 x 1 = 12
LCM(456,540) = ( 456 × 540 ) / 12
LCM(456,540) = 246240 / 12
LCM(456,540) = 20520
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FAQs on GCF of Fractions of 1685/456, 5750/540
1. What is the HCF of 1685,5750?
The HCF of 1685,5750 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 1685/456, 5750/540?
Answer: GCF of Numerators as per given numbers 1685/456, 5750/540 is
GCF of Numerators i.e. for 1685,5750 is 5
LCM of denominators i.e. for 456,540 is 20520.
Thus, GCF of Fractions is 5/20520.Finally, GCF of Fractions for 1685/456, 5750/540 is 5/20520.