Highest Common Factor of 896, 380, 534 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, 380, 534 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 896, 380, 534 is 2 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, 380, 534 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, 380, 534 is 2.

HCF(896, 380, 534) = 2

HCF of 896, 380, 534 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, 380, 534 is 2.

Highest Common Factor of 896,380,534 using Euclid's algorithm

Highest Common Factor of 896,380,534 is 2

Step 1: Since 896 > 380, we apply the division lemma to 896 and 380, to get

896 = 380 x 2 + 136

Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 136 and 380, to get

380 = 136 x 2 + 108

Step 3: We consider the new divisor 136 and the new remainder 108, and apply the division lemma to get

136 = 108 x 1 + 28

We consider the new divisor 108 and the new remainder 28,and apply the division lemma to get

108 = 28 x 3 + 24

We consider the new divisor 28 and the new remainder 24,and apply the division lemma to get

28 = 24 x 1 + 4

We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get

24 = 4 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 896 and 380 is 4

Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(108,28) = HCF(136,108) = HCF(380,136) = HCF(896,380) .

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

Step 1: Since 534 > 4, we apply the division lemma to 534 and 4, to get

534 = 4 x 133 + 2

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 534 is 2

Notice that 2 = HCF(4,2) = HCF(534,4) .

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Frequently Asked Questions on HCF of 896, 380, 534 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, 380, 534?

Answer: HCF of 896, 380, 534 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 896, 380, 534 using Euclid's Algorithm?

Answer: For arbitrary numbers 896, 380, 534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.