GCF of 7177/850, 5985/1248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7177/850, 5985/1248 i.e 1/530400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7177/850, 5985/1248.
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 7177/850,5985/1248?
Given fractions are 7177/850,5985/1248
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 7177/850,5985/1248, numerators are 7177,5985
Denominators are 850,1248
The GCF of 7177,5985 is 1 .
LCM of 850,1248 is 530400.
The greatest common factor of 7177/850,5985/1248 = [GCF of 7177,5985]/[LCM of 850,1248]= 1/530400
Therefore, the GCF of 7177/850,5985/1248 is 1/530400.
To find the highest common factor of 7177,5985, we have to find the factors of both numbers and list the highest common factor.
The factors of 7177 are 1, 7177
The factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985
The HCF of 7177,5985 is 1.
Lets's calculate GCF of 7177,5985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7177,5985 By Matching Biggest Common Factor Method
Now, list down the factors of 7177
:1,7177
Now, list down the factors of 5985
:1,3,5,7,9,15,19,21,35,45,57,63,95,105,133,171,285,315,399,665,855,1197,1995,5985
Greatest Common Factor
We found the factors 7177,5985 . The biggest common factor number is the GCF number.
So the greatest common factor 7177,5985 is 1.
Lets's calculate LCM of 850,1248
| 2 | 850, 1248 |
| 425, 624 |
∴ So the LCM of the given numbers is 2 x 425 x 624 = 530400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530400
Therefore, the GCF of Fractions 7177/850,5985/1248 is 1/530400
Least Common Multiple of 850,1248 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 850,1248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,1248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,1248) x common factors =2 x 1 = 2
LCM(850,1248) = ( 850 × 1248 ) / 2
LCM(850,1248) = 1060800 / 2
LCM(850,1248) = 530400
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7177/850, 5985/1248
1. What is the HCF of 7177,5985?
The HCF of 7177,5985 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 7177/850, 5985/1248?
Answer: GCF of Numerators as per given numbers 7177/850, 5985/1248 is
GCF of Numerators i.e. for 7177,5985 is 1
LCM of denominators i.e. for 850,1248 is 530400.
Thus, GCF of Fractions is 1/530400.Finally, GCF of Fractions for 7177/850, 5985/1248 is 1/530400.