Highest Common Factor of 8544, 1791 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 8544, 1791 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8544, 1791 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 8544, 1791 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 8544, 1791 is 3.
HCF(8544, 1791) = 3
HCF of 8544, 1791 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8544, 1791 is 3.
Highest Common Factor of 8544,1791 is 3
Step 1: Since 8544 > 1791, we apply the division lemma to 8544 and 1791, to get
8544 = 1791 x 4 + 1380
Step 2: Since the reminder 1791 ≠ 0, we apply division lemma to 1380 and 1791, to get
1791 = 1380 x 1 + 411
Step 3: We consider the new divisor 1380 and the new remainder 411, and apply the division lemma to get
1380 = 411 x 3 + 147
We consider the new divisor 411 and the new remainder 147,and apply the division lemma to get
411 = 147 x 2 + 117
We consider the new divisor 147 and the new remainder 117,and apply the division lemma to get
147 = 117 x 1 + 30
We consider the new divisor 117 and the new remainder 30,and apply the division lemma to get
117 = 30 x 3 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8544 and 1791 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(117,30) = HCF(147,117) = HCF(411,147) = HCF(1380,411) = HCF(1791,1380) = HCF(8544,1791) .
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Frequently Asked Questions on HCF of 8544, 1791 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 8544, 1791?
Answer: HCF of 8544, 1791 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8544, 1791 using Euclid's Algorithm?
Answer: For arbitrary numbers 8544, 1791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
