Highest Common Factor of 2604, 4071 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 2604, 4071 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2604, 4071 is 3 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 2604, 4071 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 2604, 4071 is 3.
HCF(2604, 4071) = 3
HCF of 2604, 4071 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2604, 4071 is 3.
Highest Common Factor of 2604,4071 is 3
Step 1: Since 4071 > 2604, we apply the division lemma to 4071 and 2604, to get
4071 = 2604 x 1 + 1467
Step 2: Since the reminder 2604 ≠ 0, we apply division lemma to 1467 and 2604, to get
2604 = 1467 x 1 + 1137
Step 3: We consider the new divisor 1467 and the new remainder 1137, and apply the division lemma to get
1467 = 1137 x 1 + 330
We consider the new divisor 1137 and the new remainder 330,and apply the division lemma to get
1137 = 330 x 3 + 147
We consider the new divisor 330 and the new remainder 147,and apply the division lemma to get
330 = 147 x 2 + 36
We consider the new divisor 147 and the new remainder 36,and apply the division lemma to get
147 = 36 x 4 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2604 and 4071 is 3
Notice that 3 = HCF(36,3) = HCF(147,36) = HCF(330,147) = HCF(1137,330) = HCF(1467,1137) = HCF(2604,1467) = HCF(4071,2604) .
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Frequently Asked Questions on HCF of 2604, 4071 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 2604, 4071?
Answer: HCF of 2604, 4071 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2604, 4071 using Euclid's Algorithm?
Answer: For arbitrary numbers 2604, 4071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.