Highest Common Factor of 5628, 3355 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 5628, 3355 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5628, 3355 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 5628, 3355 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 5628, 3355 is 1.

HCF(5628, 3355) = 1

HCF of 5628, 3355 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 5628, 3355 is 1.

Highest Common Factor of 5628,3355 using Euclid's algorithm

Highest Common Factor of 5628,3355 is 1

Step 1: Since 5628 > 3355, we apply the division lemma to 5628 and 3355, to get

5628 = 3355 x 1 + 2273

Step 2: Since the reminder 3355 ≠ 0, we apply division lemma to 2273 and 3355, to get

3355 = 2273 x 1 + 1082

Step 3: We consider the new divisor 2273 and the new remainder 1082, and apply the division lemma to get

2273 = 1082 x 2 + 109

We consider the new divisor 1082 and the new remainder 109,and apply the division lemma to get

1082 = 109 x 9 + 101

We consider the new divisor 109 and the new remainder 101,and apply the division lemma to get

109 = 101 x 1 + 8

We consider the new divisor 101 and the new remainder 8,and apply the division lemma to get

101 = 8 x 12 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 5628 and 3355 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(101,8) = HCF(109,101) = HCF(1082,109) = HCF(2273,1082) = HCF(3355,2273) = HCF(5628,3355) .

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Frequently Asked Questions on HCF of 5628, 3355 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 5628, 3355?

Answer: HCF of 5628, 3355 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5628, 3355 using Euclid's Algorithm?

Answer: For arbitrary numbers 5628, 3355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.