GCF of 1805/928, 6265/2025
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1805/928, 6265/2025 i.e 5/1879200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1805/928, 6265/2025.
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 1805/928,6265/2025?
Given fractions are 1805/928,6265/2025
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 1805/928,6265/2025, numerators are 1805,6265
Denominators are 928,2025
The GCF of 1805,6265 is 5 .
LCM of 928,2025 is 1879200.
The greatest common factor of 1805/928,6265/2025 = [GCF of 1805,6265]/[LCM of 928,2025]= 5/1879200
Therefore, the GCF of 1805/928,6265/2025 is 5/1879200.
To find the highest common factor of 1805,6265, we have to find the factors of both numbers and list the highest common factor.
The factors of 1805 are 1, 5, 19, 95, 361, 1805
The factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265
The HCF of 1805,6265 is 5.
Lets's calculate GCF of 1805,6265
| 5 | 1805, 6265 |
| 361, 1253 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1805,6265 By Matching Biggest Common Factor Method
Now, list down the factors of 1805
:1,5,19,95,361,1805
Now, list down the factors of 6265
:1,5,7,35,179,895,1253,6265
Greatest Common Factor
We found the factors 1805,6265 . The biggest common factor number is the GCF number.
So the greatest common factor 1805,6265 is 5.
Lets's calculate LCM of 928,2025
Given numbers has no common factors except 1. So, there LCM is their product i.e 1879200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1879200
Therefore, the GCF of Fractions 1805/928,6265/2025 is 5/1879200
Least Common Multiple of 928,2025 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 928,2025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,2025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,2025) x common factors =1 x 1 = 1
LCM(928,2025) = ( 928 × 2025 ) / 1
LCM(928,2025) = 1879200 / 1
LCM(928,2025) = 1879200
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FAQs on GCF of Fractions of 1805/928, 6265/2025
1. What is the HCF of 1805,6265?
The HCF of 1805,6265 is 5
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 1805/928, 6265/2025?
Answer: GCF of Numerators as per given numbers 1805/928, 6265/2025 is
GCF of Numerators i.e. for 1805,6265 is 5
LCM of denominators i.e. for 928,2025 is 1879200.
Thus, GCF of Fractions is 5/1879200.Finally, GCF of Fractions for 1805/928, 6265/2025 is 5/1879200.