Highest Common Factor of 944, 543, 736, 683 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 944, 543, 736, 683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 944, 543, 736, 683 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 944, 543, 736, 683 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 944, 543, 736, 683 is 1.
HCF(944, 543, 736, 683) = 1
HCF of 944, 543, 736, 683 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 944, 543, 736, 683 is 1.
Highest Common Factor of 944,543,736,683 is 1
Step 1: Since 944 > 543, we apply the division lemma to 944 and 543, to get
944 = 543 x 1 + 401
Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 401 and 543, to get
543 = 401 x 1 + 142
Step 3: We consider the new divisor 401 and the new remainder 142, and apply the division lemma to get
401 = 142 x 2 + 117
We consider the new divisor 142 and the new remainder 117,and apply the division lemma to get
142 = 117 x 1 + 25
We consider the new divisor 117 and the new remainder 25,and apply the division lemma to get
117 = 25 x 4 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 944 and 543 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(117,25) = HCF(142,117) = HCF(401,142) = HCF(543,401) = HCF(944,543) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 736 > 1, we apply the division lemma to 736 and 1, to get
736 = 1 x 736 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 736 is 1
Notice that 1 = HCF(736,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 683 > 1, we apply the division lemma to 683 and 1, to get
683 = 1 x 683 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 683 is 1
Notice that 1 = HCF(683,1) .
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Frequently Asked Questions on HCF of 944, 543, 736, 683 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 944, 543, 736, 683?
Answer: HCF of 944, 543, 736, 683 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 944, 543, 736, 683 using Euclid's Algorithm?
Answer: For arbitrary numbers 944, 543, 736, 683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.