Highest Common Factor of 696, 290, 419, 24 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 696, 290, 419, 24 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 696, 290, 419, 24 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 696, 290, 419, 24 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 696, 290, 419, 24 is 1.
HCF(696, 290, 419, 24) = 1
HCF of 696, 290, 419, 24 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 696, 290, 419, 24 is 1.
Highest Common Factor of 696,290,419,24 is 1
Step 1: Since 696 > 290, we apply the division lemma to 696 and 290, to get
696 = 290 x 2 + 116
Step 2: Since the reminder 290 ≠ 0, we apply division lemma to 116 and 290, to get
290 = 116 x 2 + 58
Step 3: We consider the new divisor 116 and the new remainder 58, and apply the division lemma to get
116 = 58 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 58, the HCF of 696 and 290 is 58
Notice that 58 = HCF(116,58) = HCF(290,116) = HCF(696,290) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 419 > 58, we apply the division lemma to 419 and 58, to get
419 = 58 x 7 + 13
Step 2: Since the reminder 58 ≠ 0, we apply division lemma to 13 and 58, to get
58 = 13 x 4 + 6
Step 3: We consider the new divisor 13 and the new remainder 6, and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 58 and 419 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(58,13) = HCF(419,58) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 24 > 1, we apply the division lemma to 24 and 1, to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24 is 1
Notice that 1 = HCF(24,1) .
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Frequently Asked Questions on HCF of 696, 290, 419, 24 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 696, 290, 419, 24?
Answer: HCF of 696, 290, 419, 24 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 696, 290, 419, 24 using Euclid's Algorithm?
Answer: For arbitrary numbers 696, 290, 419, 24 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.