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 4368, 6001 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4368, 6001 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 4368, 6001 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 4368, 6001 is 1.
HCF(4368, 6001) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4368, 6001 is 1.
Step 1: Since 6001 > 4368, we apply the division lemma to 6001 and 4368, to get
6001 = 4368 x 1 + 1633
Step 2: Since the reminder 4368 ≠ 0, we apply division lemma to 1633 and 4368, to get
4368 = 1633 x 2 + 1102
Step 3: We consider the new divisor 1633 and the new remainder 1102, and apply the division lemma to get
1633 = 1102 x 1 + 531
We consider the new divisor 1102 and the new remainder 531,and apply the division lemma to get
1102 = 531 x 2 + 40
We consider the new divisor 531 and the new remainder 40,and apply the division lemma to get
531 = 40 x 13 + 11
We consider the new divisor 40 and the new remainder 11,and apply the division lemma to get
40 = 11 x 3 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4368 and 6001 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(40,11) = HCF(531,40) = HCF(1102,531) = HCF(1633,1102) = HCF(4368,1633) = HCF(6001,4368) .
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 4368, 6001?
Answer: HCF of 4368, 6001 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4368, 6001 using Euclid's Algorithm?
Answer: For arbitrary numbers 4368, 6001 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.