GCF of 1384/174, 8723/3123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1384/174, 8723/3123 i.e 1/181134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1384/174, 8723/3123.
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 1384/174,8723/3123?
Given fractions are 1384/174,8723/3123
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 1384/174,8723/3123, numerators are 1384,8723
Denominators are 174,3123
The GCF of 1384,8723 is 1 .
LCM of 174,3123 is 181134.
The greatest common factor of 1384/174,8723/3123 = [GCF of 1384,8723]/[LCM of 174,3123]= 1/181134
Therefore, the GCF of 1384/174,8723/3123 is 1/181134.
To find the highest common factor of 1384,8723, we have to find the factors of both numbers and list the highest common factor.
The factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384
The factors of 8723 are 1, 11, 13, 61, 143, 671, 793, 8723
The HCF of 1384,8723 is 1.
Lets's calculate GCF of 1384,8723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1384,8723 By Matching Biggest Common Factor Method
Now, list down the factors of 1384
:1,2,4,8,173,346,692,1384
Now, list down the factors of 8723
:1,11,13,61,143,671,793,8723
Greatest Common Factor
We found the factors 1384,8723 . The biggest common factor number is the GCF number.
So the greatest common factor 1384,8723 is 1.
Lets's calculate LCM of 174,3123
| 3 | 174, 3123 |
| 58, 1041 |
∴ So the LCM of the given numbers is 3 x 58 x 1041 = 181134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181134
Therefore, the GCF of Fractions 1384/174,8723/3123 is 1/181134
Least Common Multiple of 174,3123 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 174,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,3123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,3123) x common factors =3 x 1 = 3
LCM(174,3123) = ( 174 × 3123 ) / 3
LCM(174,3123) = 543402 / 3
LCM(174,3123) = 181134
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FAQs on GCF of Fractions of 1384/174, 8723/3123
1. What is the HCF of 1384,8723?
The HCF of 1384,8723 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 1384/174, 8723/3123?
Answer: GCF of Numerators as per given numbers 1384/174, 8723/3123 is
GCF of Numerators i.e. for 1384,8723 is 1
LCM of denominators i.e. for 174,3123 is 181134.
Thus, GCF of Fractions is 1/181134.Finally, GCF of Fractions for 1384/174, 8723/3123 is 1/181134.