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 2906, 9283, 42433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2906, 9283, 42433 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 2906, 9283, 42433 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 2906, 9283, 42433 is 1.
HCF(2906, 9283, 42433) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2906, 9283, 42433 is 1.
Step 1: Since 9283 > 2906, we apply the division lemma to 9283 and 2906, to get
9283 = 2906 x 3 + 565
Step 2: Since the reminder 2906 ≠ 0, we apply division lemma to 565 and 2906, to get
2906 = 565 x 5 + 81
Step 3: We consider the new divisor 565 and the new remainder 81, and apply the division lemma to get
565 = 81 x 6 + 79
We consider the new divisor 81 and the new remainder 79,and apply the division lemma to get
81 = 79 x 1 + 2
We consider the new divisor 79 and the new remainder 2,and apply the division lemma to get
79 = 2 x 39 + 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 2906 and 9283 is 1
Notice that 1 = HCF(2,1) = HCF(79,2) = HCF(81,79) = HCF(565,81) = HCF(2906,565) = HCF(9283,2906) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 42433 > 1, we apply the division lemma to 42433 and 1, to get
42433 = 1 x 42433 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42433 is 1
Notice that 1 = HCF(42433,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2906, 9283, 42433?
Answer: HCF of 2906, 9283, 42433 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2906, 9283, 42433 using Euclid's Algorithm?
Answer: For arbitrary numbers 2906, 9283, 42433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.