Highest Common Factor of 896, 544, 84 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 896, 544, 84 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 896, 544, 84 is 4 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 896, 544, 84 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 896, 544, 84 is 4.

HCF(896, 544, 84) = 4

HCF of 896, 544, 84 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 896, 544, 84 is 4.

Highest Common Factor of 896,544,84 using Euclid's algorithm

Highest Common Factor of 896,544,84 is 4

Step 1: Since 896 > 544, we apply the division lemma to 896 and 544, to get

896 = 544 x 1 + 352

Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 352 and 544, to get

544 = 352 x 1 + 192

Step 3: We consider the new divisor 352 and the new remainder 192, and apply the division lemma to get

352 = 192 x 1 + 160

We consider the new divisor 192 and the new remainder 160,and apply the division lemma to get

192 = 160 x 1 + 32

We consider the new divisor 160 and the new remainder 32,and apply the division lemma to get

160 = 32 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 896 and 544 is 32

Notice that 32 = HCF(160,32) = HCF(192,160) = HCF(352,192) = HCF(544,352) = HCF(896,544) .

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

Step 1: Since 84 > 32, we apply the division lemma to 84 and 32, to get

84 = 32 x 2 + 20

Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 20 and 32, to get

32 = 20 x 1 + 12

Step 3: We consider the new divisor 20 and the new remainder 12, and apply the division lemma to get

20 = 12 x 1 + 8

We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get

12 = 8 x 1 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 32 and 84 is 4

Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(32,20) = HCF(84,32) .

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Frequently Asked Questions on HCF of 896, 544, 84 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 896, 544, 84?

Answer: HCF of 896, 544, 84 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 896, 544, 84 using Euclid's Algorithm?

Answer: For arbitrary numbers 896, 544, 84 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.