Highest Common Factor of 1874, 6833 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 1874, 6833 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1874, 6833 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 1874, 6833 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 1874, 6833 is 1.

HCF(1874, 6833) = 1

HCF of 1874, 6833 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 1874, 6833 is 1.

Highest Common Factor of 1874,6833 using Euclid's algorithm

Highest Common Factor of 1874,6833 is 1

Step 1: Since 6833 > 1874, we apply the division lemma to 6833 and 1874, to get

6833 = 1874 x 3 + 1211

Step 2: Since the reminder 1874 ≠ 0, we apply division lemma to 1211 and 1874, to get

1874 = 1211 x 1 + 663

Step 3: We consider the new divisor 1211 and the new remainder 663, and apply the division lemma to get

1211 = 663 x 1 + 548

We consider the new divisor 663 and the new remainder 548,and apply the division lemma to get

663 = 548 x 1 + 115

We consider the new divisor 548 and the new remainder 115,and apply the division lemma to get

548 = 115 x 4 + 88

We consider the new divisor 115 and the new remainder 88,and apply the division lemma to get

115 = 88 x 1 + 27

We consider the new divisor 88 and the new remainder 27,and apply the division lemma to get

88 = 27 x 3 + 7

We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get

27 = 7 x 3 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1874 and 6833 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(88,27) = HCF(115,88) = HCF(548,115) = HCF(663,548) = HCF(1211,663) = HCF(1874,1211) = HCF(6833,1874) .

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Frequently Asked Questions on HCF of 1874, 6833 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 1874, 6833?

Answer: HCF of 1874, 6833 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1874, 6833 using Euclid's Algorithm?

Answer: For arbitrary numbers 1874, 6833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.