Highest Common Factor of 6321, 4432 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 6321, 4432 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6321, 4432 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 6321, 4432 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 6321, 4432 is 1.
HCF(6321, 4432) = 1
HCF of 6321, 4432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6321, 4432 is 1.
Highest Common Factor of 6321,4432 is 1
Step 1: Since 6321 > 4432, we apply the division lemma to 6321 and 4432, to get
6321 = 4432 x 1 + 1889
Step 2: Since the reminder 4432 ≠ 0, we apply division lemma to 1889 and 4432, to get
4432 = 1889 x 2 + 654
Step 3: We consider the new divisor 1889 and the new remainder 654, and apply the division lemma to get
1889 = 654 x 2 + 581
We consider the new divisor 654 and the new remainder 581,and apply the division lemma to get
654 = 581 x 1 + 73
We consider the new divisor 581 and the new remainder 73,and apply the division lemma to get
581 = 73 x 7 + 70
We consider the new divisor 73 and the new remainder 70,and apply the division lemma to get
73 = 70 x 1 + 3
We consider the new divisor 70 and the new remainder 3,and apply the division lemma to get
70 = 3 x 23 + 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 6321 and 4432 is 1
Notice that 1 = HCF(3,1) = HCF(70,3) = HCF(73,70) = HCF(581,73) = HCF(654,581) = HCF(1889,654) = HCF(4432,1889) = HCF(6321,4432) .
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Frequently Asked Questions on HCF of 6321, 4432 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 6321, 4432?
Answer: HCF of 6321, 4432 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6321, 4432 using Euclid's Algorithm?
Answer: For arbitrary numbers 6321, 4432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.