Highest Common Factor of 943, 576, 141, 71 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 943, 576, 141, 71 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 943, 576, 141, 71 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 943, 576, 141, 71 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 943, 576, 141, 71 is 1.
HCF(943, 576, 141, 71) = 1
HCF of 943, 576, 141, 71 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 943, 576, 141, 71 is 1.
Highest Common Factor of 943,576,141,71 is 1
Step 1: Since 943 > 576, we apply the division lemma to 943 and 576, to get
943 = 576 x 1 + 367
Step 2: Since the reminder 576 ≠ 0, we apply division lemma to 367 and 576, to get
576 = 367 x 1 + 209
Step 3: We consider the new divisor 367 and the new remainder 209, and apply the division lemma to get
367 = 209 x 1 + 158
We consider the new divisor 209 and the new remainder 158,and apply the division lemma to get
209 = 158 x 1 + 51
We consider the new divisor 158 and the new remainder 51,and apply the division lemma to get
158 = 51 x 3 + 5
We consider the new divisor 51 and the new remainder 5,and apply the division lemma to get
51 = 5 x 10 + 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 943 and 576 is 1
Notice that 1 = HCF(5,1) = HCF(51,5) = HCF(158,51) = HCF(209,158) = HCF(367,209) = HCF(576,367) = HCF(943,576) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 141 > 1, we apply the division lemma to 141 and 1, to get
141 = 1 x 141 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 141 is 1
Notice that 1 = HCF(141,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 71 > 1, we apply the division lemma to 71 and 1, to get
71 = 1 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71 is 1
Notice that 1 = HCF(71,1) .
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Frequently Asked Questions on HCF of 943, 576, 141, 71 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 943, 576, 141, 71?
Answer: HCF of 943, 576, 141, 71 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 943, 576, 141, 71 using Euclid's Algorithm?
Answer: For arbitrary numbers 943, 576, 141, 71 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.