GCF of 95/430, 16/525, 416/618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/430, 16/525, 416/618 i.e 1/4650450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/430, 16/525, 416/618.
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 95/430,16/525,416/618?
Given fractions are 95/430,16/525,416/618
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 95/430,16/525,416/618, numerators are 95,16,416
Denominators are 430,525,618
The GCF of 95,16,416 is 1 .
LCM of 430,525,618 is 4650450.
The greatest common factor of 95/430,16/525,416/618 = [GCF of 95,16,416]/[LCM of 430,525,618]= 1/4650450
Therefore, the GCF of 95/430,16/525,416/618 is 1/4650450.
To find the highest common factor of 95,16,416, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 16 are 1, 2, 4, 8, 16
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The HCF of 95,16,416 is 1.
Lets's calculate GCF of 95,16,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,16,416 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 95,16,416 . The biggest common factor number is the GCF number.
So the greatest common factor 95,16,416 is 1.
Lets's calculate LCM of 430,525,618
| 2 | 430, 525, 618 |
| 3 | 215, 525, 309 |
| 5 | 215, 175, 103 |
| 43, 35, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 35 x 103 = 4650450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4650450
Therefore, the GCF of Fractions 95/430,16/525,416/618 is 1/4650450
Least Common Multiple of 430,525,618 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 430,525,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,525,618) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(430,525,618) x common factors =1 x 30 = 30
LCM(430,525,618) = ( 430 × 525 × 618 ) / 30
LCM(430,525,618) = 139513500 / 30
LCM(430,525,618) = 4650450
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FAQs on GCF of Fractions of 95/430, 16/525, 416/618
1. What is the HCF of 95,16,416?
The HCF of 95,16,416 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 95/430, 16/525, 416/618?
Answer: GCF of Numerators as per given numbers 95/430, 16/525, 416/618 is
GCF of Numerators i.e. for 95,16,416 is 1
LCM of denominators i.e. for 430,525,618 is 4650450.
Thus, GCF of Fractions is 1/4650450.Finally, GCF of Fractions for 95/430, 16/525, 416/618 is 1/4650450.