GCF of 9025/280, 8675/1724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9025/280, 8675/1724 i.e 25/120680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9025/280, 8675/1724.
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 9025/280,8675/1724?
Given fractions are 9025/280,8675/1724
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 9025/280,8675/1724, numerators are 9025,8675
Denominators are 280,1724
The GCF of 9025,8675 is 25 .
LCM of 280,1724 is 120680.
The greatest common factor of 9025/280,8675/1724 = [GCF of 9025,8675]/[LCM of 280,1724]= 25/120680
Therefore, the GCF of 9025/280,8675/1724 is 25/120680.
To find the highest common factor of 9025,8675, we have to find the factors of both numbers and list the highest common factor.
The factors of 9025 are 1, 5, 19, 25, 95, 361, 475, 1805, 9025
The factors of 8675 are 1, 5, 25, 347, 1735, 8675
The HCF of 9025,8675 is 25.
Lets's calculate GCF of 9025,8675
| 5 | 9025, 8675 |
| 5 | 1805, 1735 |
| 361, 347 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 9025,8675 By Matching Biggest Common Factor Method
Now, list down the factors of 9025
:1,5,19,25,95,361,475,1805,9025
Now, list down the factors of 8675
:1,5,25,347,1735,8675
Greatest Common Factor
We found the factors 9025,8675 . The biggest common factor number is the GCF number.
So the greatest common factor 9025,8675 is 25.
Lets's calculate LCM of 280,1724
| 2 | 280, 1724 |
| 2 | 140, 862 |
| 70, 431 |
∴ So the LCM of the given numbers is 2 x 2 x 70 x 431 = 120680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/120680
Therefore, the GCF of Fractions 9025/280,8675/1724 is 25/120680
Least Common Multiple of 280,1724 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 280,1724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,1724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(280,1724) x common factors =4 x 1 = 4
LCM(280,1724) = ( 280 × 1724 ) / 4
LCM(280,1724) = 482720 / 4
LCM(280,1724) = 120680
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9025/280, 8675/1724
1. What is the HCF of 9025,8675?
The HCF of 9025,8675 is 25
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 9025/280, 8675/1724?
Answer: GCF of Numerators as per given numbers 9025/280, 8675/1724 is
GCF of Numerators i.e. for 9025,8675 is 25
LCM of denominators i.e. for 280,1724 is 120680.
Thus, GCF of Fractions is 25/120680.Finally, GCF of Fractions for 9025/280, 8675/1724 is 25/120680.