Highest Common Factor of 5779, 3352 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 5779, 3352 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5779, 3352 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 5779, 3352 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 5779, 3352 is 1.

HCF(5779, 3352) = 1

HCF of 5779, 3352 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 5779, 3352 is 1.

Highest Common Factor of 5779,3352 using Euclid's algorithm

Highest Common Factor of 5779,3352 is 1

Step 1: Since 5779 > 3352, we apply the division lemma to 5779 and 3352, to get

5779 = 3352 x 1 + 2427

Step 2: Since the reminder 3352 ≠ 0, we apply division lemma to 2427 and 3352, to get

3352 = 2427 x 1 + 925

Step 3: We consider the new divisor 2427 and the new remainder 925, and apply the division lemma to get

2427 = 925 x 2 + 577

We consider the new divisor 925 and the new remainder 577,and apply the division lemma to get

925 = 577 x 1 + 348

We consider the new divisor 577 and the new remainder 348,and apply the division lemma to get

577 = 348 x 1 + 229

We consider the new divisor 348 and the new remainder 229,and apply the division lemma to get

348 = 229 x 1 + 119

We consider the new divisor 229 and the new remainder 119,and apply the division lemma to get

229 = 119 x 1 + 110

We consider the new divisor 119 and the new remainder 110,and apply the division lemma to get

119 = 110 x 1 + 9

We consider the new divisor 110 and the new remainder 9,and apply the division lemma to get

110 = 9 x 12 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 5779 and 3352 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(110,9) = HCF(119,110) = HCF(229,119) = HCF(348,229) = HCF(577,348) = HCF(925,577) = HCF(2427,925) = HCF(3352,2427) = HCF(5779,3352) .

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Frequently Asked Questions on HCF of 5779, 3352 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 5779, 3352?

Answer: HCF of 5779, 3352 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5779, 3352 using Euclid's Algorithm?

Answer: For arbitrary numbers 5779, 3352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.