Highest Common Factor of 3699, 6576 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 3699, 6576 i.e. 411 the largest integer that leaves a remainder zero for all numbers.
HCF of 3699, 6576 is 411 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 3699, 6576 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 3699, 6576 is 411.
HCF(3699, 6576) = 411
HCF of 3699, 6576 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3699, 6576 is 411.
Highest Common Factor of 3699,6576 is 411
Step 1: Since 6576 > 3699, we apply the division lemma to 6576 and 3699, to get
6576 = 3699 x 1 + 2877
Step 2: Since the reminder 3699 ≠ 0, we apply division lemma to 2877 and 3699, to get
3699 = 2877 x 1 + 822
Step 3: We consider the new divisor 2877 and the new remainder 822, and apply the division lemma to get
2877 = 822 x 3 + 411
We consider the new divisor 822 and the new remainder 411, and apply the division lemma to get
822 = 411 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 411, the HCF of 3699 and 6576 is 411
Notice that 411 = HCF(822,411) = HCF(2877,822) = HCF(3699,2877) = HCF(6576,3699) .
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Frequently Asked Questions on HCF of 3699, 6576 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 3699, 6576?
Answer: HCF of 3699, 6576 is 411 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3699, 6576 using Euclid's Algorithm?
Answer: For arbitrary numbers 3699, 6576 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.