Highest Common Factor of 1567, 4160 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 1567, 4160 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1567, 4160 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 1567, 4160 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 1567, 4160 is 1.

HCF(1567, 4160) = 1

HCF of 1567, 4160 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 1567, 4160 is 1.

Highest Common Factor of 1567,4160 using Euclid's algorithm

Highest Common Factor of 1567,4160 is 1

Step 1: Since 4160 > 1567, we apply the division lemma to 4160 and 1567, to get

4160 = 1567 x 2 + 1026

Step 2: Since the reminder 1567 ≠ 0, we apply division lemma to 1026 and 1567, to get

1567 = 1026 x 1 + 541

Step 3: We consider the new divisor 1026 and the new remainder 541, and apply the division lemma to get

1026 = 541 x 1 + 485

We consider the new divisor 541 and the new remainder 485,and apply the division lemma to get

541 = 485 x 1 + 56

We consider the new divisor 485 and the new remainder 56,and apply the division lemma to get

485 = 56 x 8 + 37

We consider the new divisor 56 and the new remainder 37,and apply the division lemma to get

56 = 37 x 1 + 19

We consider the new divisor 37 and the new remainder 19,and apply the division lemma to get

37 = 19 x 1 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1567 and 4160 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(37,19) = HCF(56,37) = HCF(485,56) = HCF(541,485) = HCF(1026,541) = HCF(1567,1026) = HCF(4160,1567) .

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Frequently Asked Questions on HCF of 1567, 4160 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 1567, 4160?

Answer: HCF of 1567, 4160 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1567, 4160 using Euclid's Algorithm?

Answer: For arbitrary numbers 1567, 4160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.