GCF of 4385/474, 6125/2844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4385/474, 6125/2844 i.e 5/2844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4385/474, 6125/2844.
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 4385/474,6125/2844?
Given fractions are 4385/474,6125/2844
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 4385/474,6125/2844, numerators are 4385,6125
Denominators are 474,2844
The GCF of 4385,6125 is 5 .
LCM of 474,2844 is 2844.
The greatest common factor of 4385/474,6125/2844 = [GCF of 4385,6125]/[LCM of 474,2844]= 5/2844
Therefore, the GCF of 4385/474,6125/2844 is 5/2844.
To find the highest common factor of 4385,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 4385 are 1, 5, 877, 4385
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 4385,6125 is 5.
Lets's calculate GCF of 4385,6125
| 5 | 4385, 6125 |
| 877, 1225 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4385,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 4385
:1,5,877,4385
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 4385,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 4385,6125 is 5.
Lets's calculate LCM of 474,2844
| 2 | 474, 2844 |
| 3 | 237, 1422 |
| 79 | 79, 474 |
| 1, 6 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 1 x 6 = 2844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2844
Therefore, the GCF of Fractions 4385/474,6125/2844 is 5/2844
Least Common Multiple of 474,2844 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 474,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,2844) = 474
common factors(in case of two or more numbers have common factors) = 1
GCF(474,2844) x common factors =474 x 1 = 474
LCM(474,2844) = ( 474 × 2844 ) / 474
LCM(474,2844) = 1348056 / 474
LCM(474,2844) = 2844
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4385/474, 6125/2844
1. What is the HCF of 4385,6125?
The HCF of 4385,6125 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 4385/474, 6125/2844?
Answer: GCF of Numerators as per given numbers 4385/474, 6125/2844 is
GCF of Numerators i.e. for 4385,6125 is 5
LCM of denominators i.e. for 474,2844 is 2844.
Thus, GCF of Fractions is 5/2844.Finally, GCF of Fractions for 4385/474, 6125/2844 is 5/2844.