GCF of 100/70, 428/18, 401/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 100/70, 428/18, 401/107 i.e 1/67410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 100/70, 428/18, 401/107.
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 100/70,428/18,401/107?
Given fractions are 100/70,428/18,401/107
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 100/70,428/18,401/107, numerators are 100,428,401
Denominators are 70,18,107
The GCF of 100,428,401 is 1 .
LCM of 70,18,107 is 67410.
The greatest common factor of 100/70,428/18,401/107 = [GCF of 100,428,401]/[LCM of 70,18,107]= 1/67410
Therefore, the GCF of 100/70,428/18,401/107 is 1/67410.
To find the highest common factor of 100,428,401, we have to find the factors of both numbers and list the highest common factor.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
The factors of 428 are 1, 2, 4, 107, 214, 428
The factors of 401 are 1, 401
The HCF of 100,428,401 is 1.
Lets's calculate GCF of 100,428,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 100,428,401 By Matching Biggest Common Factor Method
Now, list down the factors of 100
:1,2,4,5,10,20,25,50,100
Now, list down the factors of 428
:1,2,4,107,214,428
Now, list down the factors of 401
:1,401
Greatest Common Factor
We found the factors 100,428,401 . The biggest common factor number is the GCF number.
So the greatest common factor 100,428,401 is 1.
Lets's calculate LCM of 70,18,107
| 2 | 70, 18, 107 |
| 35, 9, 107 |
∴ So the LCM of the given numbers is 2 x 35 x 9 x 107 = 67410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67410
Therefore, the GCF of Fractions 100/70,428/18,401/107 is 1/67410
Least Common Multiple of 70,18,107 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 70,18,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,18,107) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(70,18,107) x common factors =1 x 2 = 2
LCM(70,18,107) = ( 70 × 18 × 107 ) / 2
LCM(70,18,107) = 134820 / 2
LCM(70,18,107) = 67410
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 100/70, 428/18, 401/107
1. What is the HCF of 100,428,401?
The HCF of 100,428,401 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 100/70, 428/18, 401/107?
Answer: GCF of Numerators as per given numbers 100/70, 428/18, 401/107 is
GCF of Numerators i.e. for 100,428,401 is 1
LCM of denominators i.e. for 70,18,107 is 67410.
Thus, GCF of Fractions is 1/67410.Finally, GCF of Fractions for 100/70, 428/18, 401/107 is 1/67410.