Highest Common Factor of 3559, 2602 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 3559, 2602 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3559, 2602 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 3559, 2602 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 3559, 2602 is 1.

HCF(3559, 2602) = 1

HCF of 3559, 2602 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 3559, 2602 is 1.

Highest Common Factor of 3559,2602 using Euclid's algorithm

Highest Common Factor of 3559,2602 is 1

Step 1: Since 3559 > 2602, we apply the division lemma to 3559 and 2602, to get

3559 = 2602 x 1 + 957

Step 2: Since the reminder 2602 ≠ 0, we apply division lemma to 957 and 2602, to get

2602 = 957 x 2 + 688

Step 3: We consider the new divisor 957 and the new remainder 688, and apply the division lemma to get

957 = 688 x 1 + 269

We consider the new divisor 688 and the new remainder 269,and apply the division lemma to get

688 = 269 x 2 + 150

We consider the new divisor 269 and the new remainder 150,and apply the division lemma to get

269 = 150 x 1 + 119

We consider the new divisor 150 and the new remainder 119,and apply the division lemma to get

150 = 119 x 1 + 31

We consider the new divisor 119 and the new remainder 31,and apply the division lemma to get

119 = 31 x 3 + 26

We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get

31 = 26 x 1 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3559 and 2602 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(119,31) = HCF(150,119) = HCF(269,150) = HCF(688,269) = HCF(957,688) = HCF(2602,957) = HCF(3559,2602) .

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Frequently Asked Questions on HCF of 3559, 2602 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 3559, 2602?

Answer: HCF of 3559, 2602 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3559, 2602 using Euclid's Algorithm?

Answer: For arbitrary numbers 3559, 2602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.