GCF of 4857/256, 6618/7175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4857/256, 6618/7175 i.e 3/1836800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4857/256, 6618/7175.
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 4857/256,6618/7175?
Given fractions are 4857/256,6618/7175
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 4857/256,6618/7175, numerators are 4857,6618
Denominators are 256,7175
The GCF of 4857,6618 is 3 .
LCM of 256,7175 is 1836800.
The greatest common factor of 4857/256,6618/7175 = [GCF of 4857,6618]/[LCM of 256,7175]= 3/1836800
Therefore, the GCF of 4857/256,6618/7175 is 3/1836800.
To find the highest common factor of 4857,6618, we have to find the factors of both numbers and list the highest common factor.
The factors of 4857 are 1, 3, 1619, 4857
The factors of 6618 are 1, 2, 3, 6, 1103, 2206, 3309, 6618
The HCF of 4857,6618 is 3.
Lets's calculate GCF of 4857,6618
| 3 | 4857, 6618 |
| 1619, 2206 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4857,6618 By Matching Biggest Common Factor Method
Now, list down the factors of 4857
:1,3,1619,4857
Now, list down the factors of 6618
:1,2,3,6,1103,2206,3309,6618
Greatest Common Factor
We found the factors 4857,6618 . The biggest common factor number is the GCF number.
So the greatest common factor 4857,6618 is 3.
Lets's calculate LCM of 256,7175
Given numbers has no common factors except 1. So, there LCM is their product i.e 1836800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1836800
Therefore, the GCF of Fractions 4857/256,6618/7175 is 3/1836800
Least Common Multiple of 256,7175 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 256,7175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,7175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,7175) x common factors =1 x 1 = 1
LCM(256,7175) = ( 256 × 7175 ) / 1
LCM(256,7175) = 1836800 / 1
LCM(256,7175) = 1836800
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FAQs on GCF of Fractions of 4857/256, 6618/7175
1. What is the HCF of 4857,6618?
The HCF of 4857,6618 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 4857/256, 6618/7175?
Answer: GCF of Numerators as per given numbers 4857/256, 6618/7175 is
GCF of Numerators i.e. for 4857,6618 is 3
LCM of denominators i.e. for 256,7175 is 1836800.
Thus, GCF of Fractions is 3/1836800.Finally, GCF of Fractions for 4857/256, 6618/7175 is 3/1836800.