Highest Common Factor of 889, 2574, 1635 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 889, 2574, 1635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 889, 2574, 1635 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 889, 2574, 1635 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 889, 2574, 1635 is 1.

HCF(889, 2574, 1635) = 1

HCF of 889, 2574, 1635 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 889, 2574, 1635 is 1.

Highest Common Factor of 889,2574,1635 using Euclid's algorithm

Highest Common Factor of 889,2574,1635 is 1

Step 1: Since 2574 > 889, we apply the division lemma to 2574 and 889, to get

2574 = 889 x 2 + 796

Step 2: Since the reminder 889 ≠ 0, we apply division lemma to 796 and 889, to get

889 = 796 x 1 + 93

Step 3: We consider the new divisor 796 and the new remainder 93, and apply the division lemma to get

796 = 93 x 8 + 52

We consider the new divisor 93 and the new remainder 52,and apply the division lemma to get

93 = 52 x 1 + 41

We consider the new divisor 52 and the new remainder 41,and apply the division lemma to get

52 = 41 x 1 + 11

We consider the new divisor 41 and the new remainder 11,and apply the division lemma to get

41 = 11 x 3 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 889 and 2574 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(41,11) = HCF(52,41) = HCF(93,52) = HCF(796,93) = HCF(889,796) = HCF(2574,889) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 1635 > 1, we apply the division lemma to 1635 and 1, to get

1635 = 1 x 1635 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1635 is 1

Notice that 1 = HCF(1635,1) .

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Frequently Asked Questions on HCF of 889, 2574, 1635 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 889, 2574, 1635?

Answer: HCF of 889, 2574, 1635 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 889, 2574, 1635 using Euclid's Algorithm?

Answer: For arbitrary numbers 889, 2574, 1635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.