Highest Common Factor of 410, 623, 63, 311 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 410, 623, 63, 311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 410, 623, 63, 311 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 410, 623, 63, 311 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 410, 623, 63, 311 is 1.
HCF(410, 623, 63, 311) = 1
HCF of 410, 623, 63, 311 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 410, 623, 63, 311 is 1.
Highest Common Factor of 410,623,63,311 is 1
Step 1: Since 623 > 410, we apply the division lemma to 623 and 410, to get
623 = 410 x 1 + 213
Step 2: Since the reminder 410 ≠ 0, we apply division lemma to 213 and 410, to get
410 = 213 x 1 + 197
Step 3: We consider the new divisor 213 and the new remainder 197, and apply the division lemma to get
213 = 197 x 1 + 16
We consider the new divisor 197 and the new remainder 16,and apply the division lemma to get
197 = 16 x 12 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 410 and 623 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(197,16) = HCF(213,197) = HCF(410,213) = HCF(623,410) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get
63 = 1 x 63 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1
Notice that 1 = HCF(63,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 311 > 1, we apply the division lemma to 311 and 1, to get
311 = 1 x 311 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 311 is 1
Notice that 1 = HCF(311,1) .
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Frequently Asked Questions on HCF of 410, 623, 63, 311 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 410, 623, 63, 311?
Answer: HCF of 410, 623, 63, 311 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 410, 623, 63, 311 using Euclid's Algorithm?
Answer: For arbitrary numbers 410, 623, 63, 311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.