GCF of 1670/669, 3500/2728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1670/669, 3500/2728 i.e 10/1825032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1670/669, 3500/2728.
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 1670/669,3500/2728?
Given fractions are 1670/669,3500/2728
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 1670/669,3500/2728, numerators are 1670,3500
Denominators are 669,2728
The GCF of 1670,3500 is 10 .
LCM of 669,2728 is 1825032.
The greatest common factor of 1670/669,3500/2728 = [GCF of 1670,3500]/[LCM of 669,2728]= 10/1825032
Therefore, the GCF of 1670/669,3500/2728 is 10/1825032.
To find the highest common factor of 1670,3500, we have to find the factors of both numbers and list the highest common factor.
The factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670
The factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500
The HCF of 1670,3500 is 10.
Lets's calculate GCF of 1670,3500
| 2 | 1670, 3500 |
| 5 | 835, 1750 |
| 167, 350 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1670,3500 By Matching Biggest Common Factor Method
Now, list down the factors of 1670
:1,2,5,10,167,334,835,1670
Now, list down the factors of 3500
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500
Greatest Common Factor
We found the factors 1670,3500 . The biggest common factor number is the GCF number.
So the greatest common factor 1670,3500 is 10.
Lets's calculate LCM of 669,2728
Given numbers has no common factors except 1. So, there LCM is their product i.e 1825032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1825032
Therefore, the GCF of Fractions 1670/669,3500/2728 is 10/1825032
Least Common Multiple of 669,2728 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 669,2728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,2728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,2728) x common factors =1 x 1 = 1
LCM(669,2728) = ( 669 × 2728 ) / 1
LCM(669,2728) = 1825032 / 1
LCM(669,2728) = 1825032
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FAQs on GCF of Fractions of 1670/669, 3500/2728
1. What is the HCF of 1670,3500?
The HCF of 1670,3500 is 10
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 1670/669, 3500/2728?
Answer: GCF of Numerators as per given numbers 1670/669, 3500/2728 is
GCF of Numerators i.e. for 1670,3500 is 10
LCM of denominators i.e. for 669,2728 is 1825032.
Thus, GCF of Fractions is 10/1825032.Finally, GCF of Fractions for 1670/669, 3500/2728 is 10/1825032.