Highest Common Factor of 3912, 1547 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 3912, 1547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3912, 1547 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 3912, 1547 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 3912, 1547 is 1.
HCF(3912, 1547) = 1
HCF of 3912, 1547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3912, 1547 is 1.
Highest Common Factor of 3912,1547 is 1
Step 1: Since 3912 > 1547, we apply the division lemma to 3912 and 1547, to get
3912 = 1547 x 2 + 818
Step 2: Since the reminder 1547 ≠ 0, we apply division lemma to 818 and 1547, to get
1547 = 818 x 1 + 729
Step 3: We consider the new divisor 818 and the new remainder 729, and apply the division lemma to get
818 = 729 x 1 + 89
We consider the new divisor 729 and the new remainder 89,and apply the division lemma to get
729 = 89 x 8 + 17
We consider the new divisor 89 and the new remainder 17,and apply the division lemma to get
89 = 17 x 5 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3912 and 1547 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(89,17) = HCF(729,89) = HCF(818,729) = HCF(1547,818) = HCF(3912,1547) .
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Frequently Asked Questions on HCF of 3912, 1547 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 3912, 1547?
Answer: HCF of 3912, 1547 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3912, 1547 using Euclid's Algorithm?
Answer: For arbitrary numbers 3912, 1547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.