Highest Common Factor of 1547, 3436 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 1547, 3436 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1547, 3436 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 1547, 3436 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 1547, 3436 is 1.
HCF(1547, 3436) = 1
HCF of 1547, 3436 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1547, 3436 is 1.
Highest Common Factor of 1547,3436 is 1
Step 1: Since 3436 > 1547, we apply the division lemma to 3436 and 1547, to get
3436 = 1547 x 2 + 342
Step 2: Since the reminder 1547 ≠ 0, we apply division lemma to 342 and 1547, to get
1547 = 342 x 4 + 179
Step 3: We consider the new divisor 342 and the new remainder 179, and apply the division lemma to get
342 = 179 x 1 + 163
We consider the new divisor 179 and the new remainder 163,and apply the division lemma to get
179 = 163 x 1 + 16
We consider the new divisor 163 and the new remainder 16,and apply the division lemma to get
163 = 16 x 10 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 1547 and 3436 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(163,16) = HCF(179,163) = HCF(342,179) = HCF(1547,342) = HCF(3436,1547) .
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Frequently Asked Questions on HCF of 1547, 3436 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 1547, 3436?
Answer: HCF of 1547, 3436 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1547, 3436 using Euclid's Algorithm?
Answer: For arbitrary numbers 1547, 3436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.