Highest Common Factor of 150, 47643 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, 47643 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 150, 47643 is 3 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, 47643 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, 47643 is 3.
HCF(150, 47643) = 3
HCF of 150, 47643 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, 47643 is 3.
Highest Common Factor of 150,47643 is 3
Step 1: Since 47643 > 150, we apply the division lemma to 47643 and 150, to get
47643 = 150 x 317 + 93
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 93 and 150, to get
150 = 93 x 1 + 57
Step 3: We consider the new divisor 93 and the new remainder 57, and apply the division lemma to get
93 = 57 x 1 + 36
We consider the new divisor 57 and the new remainder 36,and apply the division lemma to get
57 = 36 x 1 + 21
We consider the new divisor 36 and the new remainder 21,and apply the division lemma to get
36 = 21 x 1 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 150 and 47643 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(36,21) = HCF(57,36) = HCF(93,57) = HCF(150,93) = HCF(47643,150) .
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, 47643 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, 47643?
Answer: HCF of 150, 47643 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 150, 47643 using Euclid's Algorithm?
Answer: For arbitrary numbers 150, 47643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
