Highest Common Factor of 491, 847, 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 491, 847, 784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 491, 847, 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 491, 847, 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 491, 847, 784 is 1.

HCF(491, 847, 784) = 1

HCF of 491, 847, 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 491, 847, 784 is 1.

Highest Common Factor of 491,847,784 using Euclid's algorithm

Highest Common Factor of 491,847,784 is 1

Step 1: Since 847 > 491, we apply the division lemma to 847 and 491, to get

847 = 491 x 1 + 356

Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 356 and 491, to get

491 = 356 x 1 + 135

Step 3: We consider the new divisor 356 and the new remainder 135, and apply the division lemma to get

356 = 135 x 2 + 86

We consider the new divisor 135 and the new remainder 86,and apply the division lemma to get

135 = 86 x 1 + 49

We consider the new divisor 86 and the new remainder 49,and apply the division lemma to get

86 = 49 x 1 + 37

We consider the new divisor 49 and the new remainder 37,and apply the division lemma to get

49 = 37 x 1 + 12

We consider the new divisor 37 and the new remainder 12,and apply the division lemma to get

37 = 12 x 3 + 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 491 and 847 is 1

Notice that 1 = HCF(12,1) = HCF(37,12) = HCF(49,37) = HCF(86,49) = HCF(135,86) = HCF(356,135) = HCF(491,356) = HCF(847,491) .

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 491, 847, 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 491, 847, 784?

Answer: HCF of 491, 847, 784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 491, 847, 784 using Euclid's Algorithm?

Answer: For arbitrary numbers 491, 847, 784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.