GCF of 4644/860, 5671/6725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4644/860, 5671/6725 i.e 1/1156700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4644/860, 5671/6725.
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 4644/860,5671/6725?
Given fractions are 4644/860,5671/6725
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 4644/860,5671/6725, numerators are 4644,5671
Denominators are 860,6725
The GCF of 4644,5671 is 1 .
LCM of 860,6725 is 1156700.
The greatest common factor of 4644/860,5671/6725 = [GCF of 4644,5671]/[LCM of 860,6725]= 1/1156700
Therefore, the GCF of 4644/860,5671/6725 is 1/1156700.
To find the highest common factor of 4644,5671, we have to find the factors of both numbers and list the highest common factor.
The factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644
The factors of 5671 are 1, 53, 107, 5671
The HCF of 4644,5671 is 1.
Lets's calculate GCF of 4644,5671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4644,5671 By Matching Biggest Common Factor Method
Now, list down the factors of 4644
:1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644
Now, list down the factors of 5671
:1,53,107,5671
Greatest Common Factor
We found the factors 4644,5671 . The biggest common factor number is the GCF number.
So the greatest common factor 4644,5671 is 1.
Lets's calculate LCM of 860,6725
| 5 | 860, 6725 |
| 172, 1345 |
∴ So the LCM of the given numbers is 5 x 172 x 1345 = 1156700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1156700
Therefore, the GCF of Fractions 4644/860,5671/6725 is 1/1156700
Least Common Multiple of 860,6725 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 860,6725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,6725) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(860,6725) x common factors =5 x 1 = 5
LCM(860,6725) = ( 860 × 6725 ) / 5
LCM(860,6725) = 5783500 / 5
LCM(860,6725) = 1156700
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FAQs on GCF of Fractions of 4644/860, 5671/6725
1. What is the HCF of 4644,5671?
The HCF of 4644,5671 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 4644/860, 5671/6725?
Answer: GCF of Numerators as per given numbers 4644/860, 5671/6725 is
GCF of Numerators i.e. for 4644,5671 is 1
LCM of denominators i.e. for 860,6725 is 1156700.
Thus, GCF of Fractions is 1/1156700.Finally, GCF of Fractions for 4644/860, 5671/6725 is 1/1156700.