Highest Common Factor of 3812, 6025 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 3812, 6025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3812, 6025 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 3812, 6025 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 3812, 6025 is 1.

HCF(3812, 6025) = 1

HCF of 3812, 6025 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 3812, 6025 is 1.

Highest Common Factor of 3812,6025 using Euclid's algorithm

Highest Common Factor of 3812,6025 is 1

Step 1: Since 6025 > 3812, we apply the division lemma to 6025 and 3812, to get

6025 = 3812 x 1 + 2213

Step 2: Since the reminder 3812 ≠ 0, we apply division lemma to 2213 and 3812, to get

3812 = 2213 x 1 + 1599

Step 3: We consider the new divisor 2213 and the new remainder 1599, and apply the division lemma to get

2213 = 1599 x 1 + 614

We consider the new divisor 1599 and the new remainder 614,and apply the division lemma to get

1599 = 614 x 2 + 371

We consider the new divisor 614 and the new remainder 371,and apply the division lemma to get

614 = 371 x 1 + 243

We consider the new divisor 371 and the new remainder 243,and apply the division lemma to get

371 = 243 x 1 + 128

We consider the new divisor 243 and the new remainder 128,and apply the division lemma to get

243 = 128 x 1 + 115

We consider the new divisor 128 and the new remainder 115,and apply the division lemma to get

128 = 115 x 1 + 13

We consider the new divisor 115 and the new remainder 13,and apply the division lemma to get

115 = 13 x 8 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 3812 and 6025 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(115,13) = HCF(128,115) = HCF(243,128) = HCF(371,243) = HCF(614,371) = HCF(1599,614) = HCF(2213,1599) = HCF(3812,2213) = HCF(6025,3812) .

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Frequently Asked Questions on HCF of 3812, 6025 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 3812, 6025?

Answer: HCF of 3812, 6025 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3812, 6025 using Euclid's Algorithm?

Answer: For arbitrary numbers 3812, 6025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.