Highest Common Factor of 411, 3541, 8599 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 411, 3541, 8599 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 411, 3541, 8599 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 411, 3541, 8599 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 411, 3541, 8599 is 1.
HCF(411, 3541, 8599) = 1
HCF of 411, 3541, 8599 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 411, 3541, 8599 is 1.
Highest Common Factor of 411,3541,8599 is 1
Step 1: Since 3541 > 411, we apply the division lemma to 3541 and 411, to get
3541 = 411 x 8 + 253
Step 2: Since the reminder 411 ≠ 0, we apply division lemma to 253 and 411, to get
411 = 253 x 1 + 158
Step 3: We consider the new divisor 253 and the new remainder 158, and apply the division lemma to get
253 = 158 x 1 + 95
We consider the new divisor 158 and the new remainder 95,and apply the division lemma to get
158 = 95 x 1 + 63
We consider the new divisor 95 and the new remainder 63,and apply the division lemma to get
95 = 63 x 1 + 32
We consider the new divisor 63 and the new remainder 32,and apply the division lemma to get
63 = 32 x 1 + 31
We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get
32 = 31 x 1 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 411 and 3541 is 1
Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(63,32) = HCF(95,63) = HCF(158,95) = HCF(253,158) = HCF(411,253) = HCF(3541,411) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8599 > 1, we apply the division lemma to 8599 and 1, to get
8599 = 1 x 8599 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8599 is 1
Notice that 1 = HCF(8599,1) .
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Frequently Asked Questions on HCF of 411, 3541, 8599 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 411, 3541, 8599?
Answer: HCF of 411, 3541, 8599 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 411, 3541, 8599 using Euclid's Algorithm?
Answer: For arbitrary numbers 411, 3541, 8599 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.