Highest Common Factor of 874, 943, 36 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 874, 943, 36 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 874, 943, 36 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 874, 943, 36 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 874, 943, 36 is 1.
HCF(874, 943, 36) = 1
HCF of 874, 943, 36 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 874, 943, 36 is 1.
Highest Common Factor of 874,943,36 is 1
Step 1: Since 943 > 874, we apply the division lemma to 943 and 874, to get
943 = 874 x 1 + 69
Step 2: Since the reminder 874 ≠ 0, we apply division lemma to 69 and 874, to get
874 = 69 x 12 + 46
Step 3: We consider the new divisor 69 and the new remainder 46, and apply the division lemma to get
69 = 46 x 1 + 23
We consider the new divisor 46 and the new remainder 23, and apply the division lemma to get
46 = 23 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 874 and 943 is 23
Notice that 23 = HCF(46,23) = HCF(69,46) = HCF(874,69) = HCF(943,874) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36 > 23, we apply the division lemma to 36 and 23, to get
36 = 23 x 1 + 13
Step 2: Since the reminder 23 ≠ 0, we apply division lemma to 13 and 23, to get
23 = 13 x 1 + 10
Step 3: We consider the new divisor 13 and the new remainder 10, and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 23 and 36 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(36,23) .
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Frequently Asked Questions on HCF of 874, 943, 36 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 874, 943, 36?
Answer: HCF of 874, 943, 36 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 874, 943, 36 using Euclid's Algorithm?
Answer: For arbitrary numbers 874, 943, 36 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.