Highest Common Factor of 5571, 2350 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 5571, 2350 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5571, 2350 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 5571, 2350 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 5571, 2350 is 1.

HCF(5571, 2350) = 1

HCF of 5571, 2350 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 5571, 2350 is 1.

Highest Common Factor of 5571,2350 using Euclid's algorithm

Highest Common Factor of 5571,2350 is 1

Step 1: Since 5571 > 2350, we apply the division lemma to 5571 and 2350, to get

5571 = 2350 x 2 + 871

Step 2: Since the reminder 2350 ≠ 0, we apply division lemma to 871 and 2350, to get

2350 = 871 x 2 + 608

Step 3: We consider the new divisor 871 and the new remainder 608, and apply the division lemma to get

871 = 608 x 1 + 263

We consider the new divisor 608 and the new remainder 263,and apply the division lemma to get

608 = 263 x 2 + 82

We consider the new divisor 263 and the new remainder 82,and apply the division lemma to get

263 = 82 x 3 + 17

We consider the new divisor 82 and the new remainder 17,and apply the division lemma to get

82 = 17 x 4 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5571 and 2350 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(82,17) = HCF(263,82) = HCF(608,263) = HCF(871,608) = HCF(2350,871) = HCF(5571,2350) .

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Frequently Asked Questions on HCF of 5571, 2350 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 5571, 2350?

Answer: HCF of 5571, 2350 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5571, 2350 using Euclid's Algorithm?

Answer: For arbitrary numbers 5571, 2350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.