Highest Common Factor of 5991, 5201 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, 5201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5991, 5201 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, 5201 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, 5201 is 1.
HCF(5991, 5201) = 1
HCF of 5991, 5201 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, 5201 is 1.
Highest Common Factor of 5991,5201 is 1
Step 1: Since 5991 > 5201, we apply the division lemma to 5991 and 5201, to get
5991 = 5201 x 1 + 790
Step 2: Since the reminder 5201 ≠ 0, we apply division lemma to 790 and 5201, to get
5201 = 790 x 6 + 461
Step 3: We consider the new divisor 790 and the new remainder 461, and apply the division lemma to get
790 = 461 x 1 + 329
We consider the new divisor 461 and the new remainder 329,and apply the division lemma to get
461 = 329 x 1 + 132
We consider the new divisor 329 and the new remainder 132,and apply the division lemma to get
329 = 132 x 2 + 65
We consider the new divisor 132 and the new remainder 65,and apply the division lemma to get
132 = 65 x 2 + 2
We consider the new divisor 65 and the new remainder 2,and apply the division lemma to get
65 = 2 x 32 + 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 5991 and 5201 is 1
Notice that 1 = HCF(2,1) = HCF(65,2) = HCF(132,65) = HCF(329,132) = HCF(461,329) = HCF(790,461) = HCF(5201,790) = HCF(5991,5201) .
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Frequently Asked Questions on HCF of 5991, 5201 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, 5201?
Answer: HCF of 5991, 5201 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5991, 5201 using Euclid's Algorithm?
Answer: For arbitrary numbers 5991, 5201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.