GCF of 2743/470, 2007/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2743/470, 2007/172 i.e 1/40420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2743/470, 2007/172.
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 2743/470,2007/172?
Given fractions are 2743/470,2007/172
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 2743/470,2007/172, numerators are 2743,2007
Denominators are 470,172
The GCF of 2743,2007 is 1 .
LCM of 470,172 is 40420.
The greatest common factor of 2743/470,2007/172 = [GCF of 2743,2007]/[LCM of 470,172]= 1/40420
Therefore, the GCF of 2743/470,2007/172 is 1/40420.
To find the highest common factor of 2743,2007, we have to find the factors of both numbers and list the highest common factor.
The factors of 2743 are 1, 13, 211, 2743
The factors of 2007 are 1, 3, 9, 223, 669, 2007
The HCF of 2743,2007 is 1.
Lets's calculate GCF of 2743,2007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2743,2007 By Matching Biggest Common Factor Method
Now, list down the factors of 2743
:1,13,211,2743
Now, list down the factors of 2007
:1,3,9,223,669,2007
Greatest Common Factor
We found the factors 2743,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 2743,2007 is 1.
Lets's calculate LCM of 470,172
| 2 | 470, 172 |
| 235, 86 |
∴ So the LCM of the given numbers is 2 x 235 x 86 = 40420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40420
Therefore, the GCF of Fractions 2743/470,2007/172 is 1/40420
Least Common Multiple of 470,172 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 470,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,172) x common factors =2 x 1 = 2
LCM(470,172) = ( 470 × 172 ) / 2
LCM(470,172) = 80840 / 2
LCM(470,172) = 40420
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FAQs on GCF of Fractions of 2743/470, 2007/172
1. What is the HCF of 2743,2007?
The HCF of 2743,2007 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 2743/470, 2007/172?
Answer: GCF of Numerators as per given numbers 2743/470, 2007/172 is
GCF of Numerators i.e. for 2743,2007 is 1
LCM of denominators i.e. for 470,172 is 40420.
Thus, GCF of Fractions is 1/40420.Finally, GCF of Fractions for 2743/470, 2007/172 is 1/40420.