Highest Common Factor of 847, 685, 460 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 847, 685, 460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 847, 685, 460 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 847, 685, 460 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 847, 685, 460 is 1.

HCF(847, 685, 460) = 1

HCF of 847, 685, 460 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 847, 685, 460 is 1.

Highest Common Factor of 847,685,460 using Euclid's algorithm

Highest Common Factor of 847,685,460 is 1

Step 1: Since 847 > 685, we apply the division lemma to 847 and 685, to get

847 = 685 x 1 + 162

Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 162 and 685, to get

685 = 162 x 4 + 37

Step 3: We consider the new divisor 162 and the new remainder 37, and apply the division lemma to get

162 = 37 x 4 + 14

We consider the new divisor 37 and the new remainder 14,and apply the division lemma to get

37 = 14 x 2 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 847 and 685 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(37,14) = HCF(162,37) = HCF(685,162) = HCF(847,685) .

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

Step 1: Since 460 > 1, we apply the division lemma to 460 and 1, to get

460 = 1 x 460 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 460 is 1

Notice that 1 = HCF(460,1) .

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Frequently Asked Questions on HCF of 847, 685, 460 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 847, 685, 460?

Answer: HCF of 847, 685, 460 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 847, 685, 460 using Euclid's Algorithm?

Answer: For arbitrary numbers 847, 685, 460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.