Highest Common Factor of 892, 691, 438, 452 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 892, 691, 438, 452 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 892, 691, 438, 452 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 892, 691, 438, 452 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 892, 691, 438, 452 is 1.

HCF(892, 691, 438, 452) = 1

HCF of 892, 691, 438, 452 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 892, 691, 438, 452 is 1.

Highest Common Factor of 892,691,438,452 using Euclid's algorithm

Highest Common Factor of 892,691,438,452 is 1

Step 1: Since 892 > 691, we apply the division lemma to 892 and 691, to get

892 = 691 x 1 + 201

Step 2: Since the reminder 691 ≠ 0, we apply division lemma to 201 and 691, to get

691 = 201 x 3 + 88

Step 3: We consider the new divisor 201 and the new remainder 88, and apply the division lemma to get

201 = 88 x 2 + 25

We consider the new divisor 88 and the new remainder 25,and apply the division lemma to get

88 = 25 x 3 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 892 and 691 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(88,25) = HCF(201,88) = HCF(691,201) = HCF(892,691) .

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

Step 1: Since 438 > 1, we apply the division lemma to 438 and 1, to get

438 = 1 x 438 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 438 is 1

Notice that 1 = HCF(438,1) .

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

Step 1: Since 452 > 1, we apply the division lemma to 452 and 1, to get

452 = 1 x 452 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 452 is 1

Notice that 1 = HCF(452,1) .

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Frequently Asked Questions on HCF of 892, 691, 438, 452 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 892, 691, 438, 452?

Answer: HCF of 892, 691, 438, 452 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 892, 691, 438, 452 using Euclid's Algorithm?

Answer: For arbitrary numbers 892, 691, 438, 452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.