Highest Common Factor of 5991, 6662 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 5991, 6662 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5991, 6662 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 5991, 6662 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 5991, 6662 is 1.
HCF(5991, 6662) = 1
HCF of 5991, 6662 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5991, 6662 is 1.
Highest Common Factor of 5991,6662 is 1
Step 1: Since 6662 > 5991, we apply the division lemma to 6662 and 5991, to get
6662 = 5991 x 1 + 671
Step 2: Since the reminder 5991 ≠ 0, we apply division lemma to 671 and 5991, to get
5991 = 671 x 8 + 623
Step 3: We consider the new divisor 671 and the new remainder 623, and apply the division lemma to get
671 = 623 x 1 + 48
We consider the new divisor 623 and the new remainder 48,and apply the division lemma to get
623 = 48 x 12 + 47
We consider the new divisor 48 and the new remainder 47,and apply the division lemma to get
48 = 47 x 1 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5991 and 6662 is 1
Notice that 1 = HCF(47,1) = HCF(48,47) = HCF(623,48) = HCF(671,623) = HCF(5991,671) = HCF(6662,5991) .
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Frequently Asked Questions on HCF of 5991, 6662 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 5991, 6662?
Answer: HCF of 5991, 6662 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5991, 6662 using Euclid's Algorithm?
Answer: For arbitrary numbers 5991, 6662 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
