Highest Common Factor of 3862, 5039 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 3862, 5039 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3862, 5039 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 3862, 5039 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 3862, 5039 is 1.
HCF(3862, 5039) = 1
HCF of 3862, 5039 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3862, 5039 is 1.
Highest Common Factor of 3862,5039 is 1
Step 1: Since 5039 > 3862, we apply the division lemma to 5039 and 3862, to get
5039 = 3862 x 1 + 1177
Step 2: Since the reminder 3862 ≠ 0, we apply division lemma to 1177 and 3862, to get
3862 = 1177 x 3 + 331
Step 3: We consider the new divisor 1177 and the new remainder 331, and apply the division lemma to get
1177 = 331 x 3 + 184
We consider the new divisor 331 and the new remainder 184,and apply the division lemma to get
331 = 184 x 1 + 147
We consider the new divisor 184 and the new remainder 147,and apply the division lemma to get
184 = 147 x 1 + 37
We consider the new divisor 147 and the new remainder 37,and apply the division lemma to get
147 = 37 x 3 + 36
We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get
37 = 36 x 1 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3862 and 5039 is 1
Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(147,37) = HCF(184,147) = HCF(331,184) = HCF(1177,331) = HCF(3862,1177) = HCF(5039,3862) .
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Frequently Asked Questions on HCF of 3862, 5039 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 3862, 5039?
Answer: HCF of 3862, 5039 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3862, 5039 using Euclid's Algorithm?
Answer: For arbitrary numbers 3862, 5039 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.