Highest Common Factor of 2841, 7385 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 2841, 7385 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2841, 7385 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 2841, 7385 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 2841, 7385 is 1.

HCF(2841, 7385) = 1

HCF of 2841, 7385 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 2841, 7385 is 1.

Highest Common Factor of 2841,7385 using Euclid's algorithm

Highest Common Factor of 2841,7385 is 1

Step 1: Since 7385 > 2841, we apply the division lemma to 7385 and 2841, to get

7385 = 2841 x 2 + 1703

Step 2: Since the reminder 2841 ≠ 0, we apply division lemma to 1703 and 2841, to get

2841 = 1703 x 1 + 1138

Step 3: We consider the new divisor 1703 and the new remainder 1138, and apply the division lemma to get

1703 = 1138 x 1 + 565

We consider the new divisor 1138 and the new remainder 565,and apply the division lemma to get

1138 = 565 x 2 + 8

We consider the new divisor 565 and the new remainder 8,and apply the division lemma to get

565 = 8 x 70 + 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 2841 and 7385 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(565,8) = HCF(1138,565) = HCF(1703,1138) = HCF(2841,1703) = HCF(7385,2841) .

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Frequently Asked Questions on HCF of 2841, 7385 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 2841, 7385?

Answer: HCF of 2841, 7385 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2841, 7385 using Euclid's Algorithm?

Answer: For arbitrary numbers 2841, 7385 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.