Highest Common Factor of 376, 61865 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 376, 61865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 376, 61865 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 376, 61865 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 376, 61865 is 1.
HCF(376, 61865) = 1
HCF of 376, 61865 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 376, 61865 is 1.
Highest Common Factor of 376,61865 is 1
Step 1: Since 61865 > 376, we apply the division lemma to 61865 and 376, to get
61865 = 376 x 164 + 201
Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 201 and 376, to get
376 = 201 x 1 + 175
Step 3: We consider the new divisor 201 and the new remainder 175, and apply the division lemma to get
201 = 175 x 1 + 26
We consider the new divisor 175 and the new remainder 26,and apply the division lemma to get
175 = 26 x 6 + 19
We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get
26 = 19 x 1 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 376 and 61865 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(175,26) = HCF(201,175) = HCF(376,201) = HCF(61865,376) .
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Frequently Asked Questions on HCF of 376, 61865 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 376, 61865?
Answer: HCF of 376, 61865 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 376, 61865 using Euclid's Algorithm?
Answer: For arbitrary numbers 376, 61865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.