Highest Common Factor of 853, 497, 784 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 853, 497, 784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 853, 497, 784 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 853, 497, 784 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 853, 497, 784 is 1.

HCF(853, 497, 784) = 1

HCF of 853, 497, 784 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 853, 497, 784 is 1.

Highest Common Factor of 853,497,784 using Euclid's algorithm

Highest Common Factor of 853,497,784 is 1

Step 1: Since 853 > 497, we apply the division lemma to 853 and 497, to get

853 = 497 x 1 + 356

Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 356 and 497, to get

497 = 356 x 1 + 141

Step 3: We consider the new divisor 356 and the new remainder 141, and apply the division lemma to get

356 = 141 x 2 + 74

We consider the new divisor 141 and the new remainder 74,and apply the division lemma to get

141 = 74 x 1 + 67

We consider the new divisor 74 and the new remainder 67,and apply the division lemma to get

74 = 67 x 1 + 7

We consider the new divisor 67 and the new remainder 7,and apply the division lemma to get

67 = 7 x 9 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 853 and 497 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(67,7) = HCF(74,67) = HCF(141,74) = HCF(356,141) = HCF(497,356) = HCF(853,497) .

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

Step 1: Since 784 > 1, we apply the division lemma to 784 and 1, to get

784 = 1 x 784 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 784 is 1

Notice that 1 = HCF(784,1) .

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Frequently Asked Questions on HCF of 853, 497, 784 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 853, 497, 784?

Answer: HCF of 853, 497, 784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 853, 497, 784 using Euclid's Algorithm?

Answer: For arbitrary numbers 853, 497, 784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.