Highest Common Factor of 150, 675, 401 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 150, 675, 401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 150, 675, 401 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 150, 675, 401 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 150, 675, 401 is 1.
HCF(150, 675, 401) = 1
HCF of 150, 675, 401 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 150, 675, 401 is 1.
Highest Common Factor of 150,675,401 is 1
Step 1: Since 675 > 150, we apply the division lemma to 675 and 150, to get
675 = 150 x 4 + 75
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 75 and 150, to get
150 = 75 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 75, the HCF of 150 and 675 is 75
Notice that 75 = HCF(150,75) = HCF(675,150) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 401 > 75, we apply the division lemma to 401 and 75, to get
401 = 75 x 5 + 26
Step 2: Since the reminder 75 ≠ 0, we apply division lemma to 26 and 75, to get
75 = 26 x 2 + 23
Step 3: We consider the new divisor 26 and the new remainder 23, and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 75 and 401 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(75,26) = HCF(401,75) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 150, 675, 401 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 150, 675, 401?
Answer: HCF of 150, 675, 401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 150, 675, 401 using Euclid's Algorithm?
Answer: For arbitrary numbers 150, 675, 401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.