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 4367, 6637, 29440 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4367, 6637, 29440 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 4367, 6637, 29440 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 4367, 6637, 29440 is 1.
HCF(4367, 6637, 29440) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4367, 6637, 29440 is 1.
Step 1: Since 6637 > 4367, we apply the division lemma to 6637 and 4367, to get
6637 = 4367 x 1 + 2270
Step 2: Since the reminder 4367 ≠ 0, we apply division lemma to 2270 and 4367, to get
4367 = 2270 x 1 + 2097
Step 3: We consider the new divisor 2270 and the new remainder 2097, and apply the division lemma to get
2270 = 2097 x 1 + 173
We consider the new divisor 2097 and the new remainder 173,and apply the division lemma to get
2097 = 173 x 12 + 21
We consider the new divisor 173 and the new remainder 21,and apply the division lemma to get
173 = 21 x 8 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4367 and 6637 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(173,21) = HCF(2097,173) = HCF(2270,2097) = HCF(4367,2270) = HCF(6637,4367) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29440 > 1, we apply the division lemma to 29440 and 1, to get
29440 = 1 x 29440 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29440 is 1
Notice that 1 = HCF(29440,1) .
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 4367, 6637, 29440?
Answer: HCF of 4367, 6637, 29440 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4367, 6637, 29440 using Euclid's Algorithm?
Answer: For arbitrary numbers 4367, 6637, 29440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.