Highest Common Factor of 3604, 4039 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 3604, 4039 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3604, 4039 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 3604, 4039 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 3604, 4039 is 1.
HCF(3604, 4039) = 1
HCF of 3604, 4039 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3604, 4039 is 1.
Highest Common Factor of 3604,4039 is 1
Step 1: Since 4039 > 3604, we apply the division lemma to 4039 and 3604, to get
4039 = 3604 x 1 + 435
Step 2: Since the reminder 3604 ≠ 0, we apply division lemma to 435 and 3604, to get
3604 = 435 x 8 + 124
Step 3: We consider the new divisor 435 and the new remainder 124, and apply the division lemma to get
435 = 124 x 3 + 63
We consider the new divisor 124 and the new remainder 63,and apply the division lemma to get
124 = 63 x 1 + 61
We consider the new divisor 63 and the new remainder 61,and apply the division lemma to get
63 = 61 x 1 + 2
We consider the new divisor 61 and the new remainder 2,and apply the division lemma to get
61 = 2 x 30 + 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 3604 and 4039 is 1
Notice that 1 = HCF(2,1) = HCF(61,2) = HCF(63,61) = HCF(124,63) = HCF(435,124) = HCF(3604,435) = HCF(4039,3604) .
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Frequently Asked Questions on HCF of 3604, 4039 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 3604, 4039?
Answer: HCF of 3604, 4039 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3604, 4039 using Euclid's Algorithm?
Answer: For arbitrary numbers 3604, 4039 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
