GCF of 8577/625, 6753/6130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8577/625, 6753/6130 i.e 3/766250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8577/625, 6753/6130.
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 8577/625,6753/6130?
Given fractions are 8577/625,6753/6130
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 8577/625,6753/6130, numerators are 8577,6753
Denominators are 625,6130
The GCF of 8577,6753 is 3 .
LCM of 625,6130 is 766250.
The greatest common factor of 8577/625,6753/6130 = [GCF of 8577,6753]/[LCM of 625,6130]= 3/766250
Therefore, the GCF of 8577/625,6753/6130 is 3/766250.
To find the highest common factor of 8577,6753, we have to find the factors of both numbers and list the highest common factor.
The factors of 8577 are 1, 3, 9, 953, 2859, 8577
The factors of 6753 are 1, 3, 2251, 6753
The HCF of 8577,6753 is 3.
Lets's calculate GCF of 8577,6753
| 3 | 8577, 6753 |
| 2859, 2251 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8577,6753 By Matching Biggest Common Factor Method
Now, list down the factors of 8577
:1,3,9,953,2859,8577
Now, list down the factors of 6753
:1,3,2251,6753
Greatest Common Factor
We found the factors 8577,6753 . The biggest common factor number is the GCF number.
So the greatest common factor 8577,6753 is 3.
Lets's calculate LCM of 625,6130
| 5 | 625, 6130 |
| 125, 1226 |
∴ So the LCM of the given numbers is 5 x 125 x 1226 = 766250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/766250
Therefore, the GCF of Fractions 8577/625,6753/6130 is 3/766250
Least Common Multiple of 625,6130 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 625,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,6130) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(625,6130) x common factors =5 x 1 = 5
LCM(625,6130) = ( 625 × 6130 ) / 5
LCM(625,6130) = 3831250 / 5
LCM(625,6130) = 766250
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8577/625, 6753/6130
1. What is the HCF of 8577,6753?
The HCF of 8577,6753 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 8577/625, 6753/6130?
Answer: GCF of Numerators as per given numbers 8577/625, 6753/6130 is
GCF of Numerators i.e. for 8577,6753 is 3
LCM of denominators i.e. for 625,6130 is 766250.
Thus, GCF of Fractions is 3/766250.Finally, GCF of Fractions for 8577/625, 6753/6130 is 3/766250.