Highest Common Factor of 620, 36377 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 620, 36377 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 620, 36377 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 620, 36377 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 620, 36377 is 1.
HCF(620, 36377) = 1
HCF of 620, 36377 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 620, 36377 is 1.
Highest Common Factor of 620,36377 is 1
Step 1: Since 36377 > 620, we apply the division lemma to 36377 and 620, to get
36377 = 620 x 58 + 417
Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 417 and 620, to get
620 = 417 x 1 + 203
Step 3: We consider the new divisor 417 and the new remainder 203, and apply the division lemma to get
417 = 203 x 2 + 11
We consider the new divisor 203 and the new remainder 11,and apply the division lemma to get
203 = 11 x 18 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 620 and 36377 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(203,11) = HCF(417,203) = HCF(620,417) = HCF(36377,620) .
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Frequently Asked Questions on HCF of 620, 36377 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 620, 36377?
Answer: HCF of 620, 36377 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 620, 36377 using Euclid's Algorithm?
Answer: For arbitrary numbers 620, 36377 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.