Highest Common Factor of 8943, 1572 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 8943, 1572 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8943, 1572 is 3 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 8943, 1572 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 8943, 1572 is 3.
HCF(8943, 1572) = 3
HCF of 8943, 1572 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8943, 1572 is 3.
Highest Common Factor of 8943,1572 is 3
Step 1: Since 8943 > 1572, we apply the division lemma to 8943 and 1572, to get
8943 = 1572 x 5 + 1083
Step 2: Since the reminder 1572 ≠ 0, we apply division lemma to 1083 and 1572, to get
1572 = 1083 x 1 + 489
Step 3: We consider the new divisor 1083 and the new remainder 489, and apply the division lemma to get
1083 = 489 x 2 + 105
We consider the new divisor 489 and the new remainder 105,and apply the division lemma to get
489 = 105 x 4 + 69
We consider the new divisor 105 and the new remainder 69,and apply the division lemma to get
105 = 69 x 1 + 36
We consider the new divisor 69 and the new remainder 36,and apply the division lemma to get
69 = 36 x 1 + 33
We consider the new divisor 36 and the new remainder 33,and apply the division lemma to get
36 = 33 x 1 + 3
We consider the new divisor 33 and the new remainder 3,and apply the division lemma to get
33 = 3 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8943 and 1572 is 3
Notice that 3 = HCF(33,3) = HCF(36,33) = HCF(69,36) = HCF(105,69) = HCF(489,105) = HCF(1083,489) = HCF(1572,1083) = HCF(8943,1572) .
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Frequently Asked Questions on HCF of 8943, 1572 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 8943, 1572?
Answer: HCF of 8943, 1572 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8943, 1572 using Euclid's Algorithm?
Answer: For arbitrary numbers 8943, 1572 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.