Highest Common Factor of 809, 424, 974 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 809, 424, 974 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 809, 424, 974 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 809, 424, 974 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 809, 424, 974 is 1.

HCF(809, 424, 974) = 1

HCF of 809, 424, 974 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 809, 424, 974 is 1.

Highest Common Factor of 809,424,974 using Euclid's algorithm

Highest Common Factor of 809,424,974 is 1

Step 1: Since 809 > 424, we apply the division lemma to 809 and 424, to get

809 = 424 x 1 + 385

Step 2: Since the reminder 424 ≠ 0, we apply division lemma to 385 and 424, to get

424 = 385 x 1 + 39

Step 3: We consider the new divisor 385 and the new remainder 39, and apply the division lemma to get

385 = 39 x 9 + 34

We consider the new divisor 39 and the new remainder 34,and apply the division lemma to get

39 = 34 x 1 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 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 809 and 424 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(39,34) = HCF(385,39) = HCF(424,385) = HCF(809,424) .

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

Step 1: Since 974 > 1, we apply the division lemma to 974 and 1, to get

974 = 1 x 974 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 974 is 1

Notice that 1 = HCF(974,1) .

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Frequently Asked Questions on HCF of 809, 424, 974 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 809, 424, 974?

Answer: HCF of 809, 424, 974 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 809, 424, 974 using Euclid's Algorithm?

Answer: For arbitrary numbers 809, 424, 974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.