GCF of 4/14, 90/10, 85/185, 618/945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4/14, 90/10, 85/185, 618/945 i.e 1/69930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/14, 90/10, 85/185, 618/945.
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 4/14,90/10,85/185,618/945?
Given fractions are 4/14,90/10,85/185,618/945
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 4/14,90/10,85/185,618/945, numerators are 4,90,85,618
Denominators are 14,10,185,945
The GCF of 4,90,85,618 is 1 .
LCM of 14,10,185,945 is 69930.
The greatest common factor of 4/14,90/10,85/185,618/945 = [GCF of 4,90,85,618]/[LCM of 14,10,185,945]= 1/69930
Therefore, the GCF of 4/14,90/10,85/185,618/945 is 1/69930.
To find the highest common factor of 4,90,85,618, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 85 are 1, 5, 17, 85
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The HCF of 4,90,85,618 is 1.
Lets's calculate GCF of 4,90,85,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4,90,85,618 By Matching Biggest Common Factor Method
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 4,90,85,618 . The biggest common factor number is the GCF number.
So the greatest common factor 4,90,85,618 is 1.
Lets's calculate LCM of 14,10,185,945
| 2 | 14, 10, 185, 945 |
| 5 | 7, 5, 185, 945 |
| 7 | 7, 1, 37, 189 |
| 1, 1, 37, 27 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 37 x 27 = 69930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69930
Therefore, the GCF of Fractions 4/14,90/10,85/185,618/945 is 1/69930
Least Common Multiple of 14,10,185,945 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 14,10,185,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,10,185,945) = 1
common factors(in case of two or more numbers have common factors) = 350
GCF(14,10,185,945) x common factors =1 x 350 = 350
LCM(14,10,185,945) = ( 14 × 10 × 185 × 945 ) / 350
LCM(14,10,185,945) = 24475500 / 350
LCM(14,10,185,945) = 69930
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4/14, 90/10, 85/185, 618/945
1. What is the HCF of 4,90,85,618?
The HCF of 4,90,85,618 is 1
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 4/14, 90/10, 85/185, 618/945?
Answer: GCF of Numerators as per given numbers 4/14, 90/10, 85/185, 618/945 is
GCF of Numerators i.e. for 4,90,85,618 is 1
LCM of denominators i.e. for 14,10,185,945 is 69930.
Thus, GCF of Fractions is 1/69930.Finally, GCF of Fractions for 4/14, 90/10, 85/185, 618/945 is 1/69930.