Highest Common Factor of 4574, 2826 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 4574, 2826 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 4574, 2826 is 2 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 4574, 2826 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 4574, 2826 is 2.

HCF(4574, 2826) = 2

HCF of 4574, 2826 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 4574, 2826 is 2.

Highest Common Factor of 4574,2826 using Euclid's algorithm

Highest Common Factor of 4574,2826 is 2

Step 1: Since 4574 > 2826, we apply the division lemma to 4574 and 2826, to get

4574 = 2826 x 1 + 1748

Step 2: Since the reminder 2826 ≠ 0, we apply division lemma to 1748 and 2826, to get

2826 = 1748 x 1 + 1078

Step 3: We consider the new divisor 1748 and the new remainder 1078, and apply the division lemma to get

1748 = 1078 x 1 + 670

We consider the new divisor 1078 and the new remainder 670,and apply the division lemma to get

1078 = 670 x 1 + 408

We consider the new divisor 670 and the new remainder 408,and apply the division lemma to get

670 = 408 x 1 + 262

We consider the new divisor 408 and the new remainder 262,and apply the division lemma to get

408 = 262 x 1 + 146

We consider the new divisor 262 and the new remainder 146,and apply the division lemma to get

262 = 146 x 1 + 116

We consider the new divisor 146 and the new remainder 116,and apply the division lemma to get

146 = 116 x 1 + 30

We consider the new divisor 116 and the new remainder 30,and apply the division lemma to get

116 = 30 x 3 + 26

We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get

30 = 26 x 1 + 4

We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get

26 = 4 x 6 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4574 and 2826 is 2

Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(116,30) = HCF(146,116) = HCF(262,146) = HCF(408,262) = HCF(670,408) = HCF(1078,670) = HCF(1748,1078) = HCF(2826,1748) = HCF(4574,2826) .

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Frequently Asked Questions on HCF of 4574, 2826 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 4574, 2826?

Answer: HCF of 4574, 2826 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4574, 2826 using Euclid's Algorithm?

Answer: For arbitrary numbers 4574, 2826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.