GCF of 3197/860, 8809/5164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3197/860, 8809/5164 i.e 23/1110260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3197/860, 8809/5164.
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 3197/860,8809/5164?
Given fractions are 3197/860,8809/5164
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 3197/860,8809/5164, numerators are 3197,8809
Denominators are 860,5164
The GCF of 3197,8809 is 23 .
LCM of 860,5164 is 1110260.
The greatest common factor of 3197/860,8809/5164 = [GCF of 3197,8809]/[LCM of 860,5164]= 23/1110260
Therefore, the GCF of 3197/860,8809/5164 is 23/1110260.
To find the highest common factor of 3197,8809, we have to find the factors of both numbers and list the highest common factor.
The factors of 3197 are 1, 23, 139, 3197
The factors of 8809 are 1, 23, 383, 8809
The HCF of 3197,8809 is 23.
Lets's calculate GCF of 3197,8809
| 23 | 3197, 8809 |
| 139, 383 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 3197,8809 By Matching Biggest Common Factor Method
Now, list down the factors of 3197
:1,23,139,3197
Now, list down the factors of 8809
:1,23,383,8809
Greatest Common Factor
We found the factors 3197,8809 . The biggest common factor number is the GCF number.
So the greatest common factor 3197,8809 is 23.
Lets's calculate LCM of 860,5164
| 2 | 860, 5164 |
| 2 | 430, 2582 |
| 215, 1291 |
∴ So the LCM of the given numbers is 2 x 2 x 215 x 1291 = 1110260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1110260
Therefore, the GCF of Fractions 3197/860,8809/5164 is 23/1110260
Least Common Multiple of 860,5164 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 860,5164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,5164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(860,5164) x common factors =4 x 1 = 4
LCM(860,5164) = ( 860 × 5164 ) / 4
LCM(860,5164) = 4441040 / 4
LCM(860,5164) = 1110260
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FAQs on GCF of Fractions of 3197/860, 8809/5164
1. What is the HCF of 3197,8809?
The HCF of 3197,8809 is 23
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 3197/860, 8809/5164?
Answer: GCF of Numerators as per given numbers 3197/860, 8809/5164 is
GCF of Numerators i.e. for 3197,8809 is 23
LCM of denominators i.e. for 860,5164 is 1110260.
Thus, GCF of Fractions is 23/1110260.Finally, GCF of Fractions for 3197/860, 8809/5164 is 23/1110260.