GCF of 1197/860, 4755/173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1197/860, 4755/173 i.e 3/148780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1197/860, 4755/173.
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 1197/860,4755/173?
Given fractions are 1197/860,4755/173
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 1197/860,4755/173, numerators are 1197,4755
Denominators are 860,173
The GCF of 1197,4755 is 3 .
LCM of 860,173 is 148780.
The greatest common factor of 1197/860,4755/173 = [GCF of 1197,4755]/[LCM of 860,173]= 3/148780
Therefore, the GCF of 1197/860,4755/173 is 3/148780.
To find the highest common factor of 1197,4755, we have to find the factors of both numbers and list the highest common factor.
The factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197
The factors of 4755 are 1, 3, 5, 15, 317, 951, 1585, 4755
The HCF of 1197,4755 is 3.
Lets's calculate GCF of 1197,4755
| 3 | 1197, 4755 |
| 399, 1585 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1197,4755 By Matching Biggest Common Factor Method
Now, list down the factors of 1197
:1,3,7,9,19,21,57,63,133,171,399,1197
Now, list down the factors of 4755
:1,3,5,15,317,951,1585,4755
Greatest Common Factor
We found the factors 1197,4755 . The biggest common factor number is the GCF number.
So the greatest common factor 1197,4755 is 3.
Lets's calculate LCM of 860,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 148780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/148780
Therefore, the GCF of Fractions 1197/860,4755/173 is 3/148780
Least Common Multiple of 860,173 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 860,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,173) x common factors =1 x 1 = 1
LCM(860,173) = ( 860 × 173 ) / 1
LCM(860,173) = 148780 / 1
LCM(860,173) = 148780
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1197/860, 4755/173
1. What is the HCF of 1197,4755?
The HCF of 1197,4755 is 3
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 1197/860, 4755/173?
Answer: GCF of Numerators as per given numbers 1197/860, 4755/173 is
GCF of Numerators i.e. for 1197,4755 is 3
LCM of denominators i.e. for 860,173 is 148780.
Thus, GCF of Fractions is 3/148780.Finally, GCF of Fractions for 1197/860, 4755/173 is 3/148780.