Highest Common Factor of 3592, 4341 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 3592, 4341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3592, 4341 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 3592, 4341 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 3592, 4341 is 1.

HCF(3592, 4341) = 1

HCF of 3592, 4341 using Euclid's algorithm

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

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Highest common factor (HCF) of 3592, 4341 is 1.

Highest Common Factor of 3592,4341 using Euclid's algorithm

Highest Common Factor of 3592,4341 is 1

Step 1: Since 4341 > 3592, we apply the division lemma to 4341 and 3592, to get

4341 = 3592 x 1 + 749

Step 2: Since the reminder 3592 ≠ 0, we apply division lemma to 749 and 3592, to get

3592 = 749 x 4 + 596

Step 3: We consider the new divisor 749 and the new remainder 596, and apply the division lemma to get

749 = 596 x 1 + 153

We consider the new divisor 596 and the new remainder 153,and apply the division lemma to get

596 = 153 x 3 + 137

We consider the new divisor 153 and the new remainder 137,and apply the division lemma to get

153 = 137 x 1 + 16

We consider the new divisor 137 and the new remainder 16,and apply the division lemma to get

137 = 16 x 8 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 3592 and 4341 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(137,16) = HCF(153,137) = HCF(596,153) = HCF(749,596) = HCF(3592,749) = HCF(4341,3592) .

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Frequently Asked Questions on HCF of 3592, 4341 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 3592, 4341?

Answer: HCF of 3592, 4341 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3592, 4341 using Euclid's Algorithm?

Answer: For arbitrary numbers 3592, 4341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.