Highest Common Factor of 340, 637, 423 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 340, 637, 423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 340, 637, 423 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 340, 637, 423 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 340, 637, 423 is 1.

HCF(340, 637, 423) = 1

HCF of 340, 637, 423 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 340, 637, 423 is 1.

Highest Common Factor of 340,637,423 using Euclid's algorithm

Highest Common Factor of 340,637,423 is 1

Step 1: Since 637 > 340, we apply the division lemma to 637 and 340, to get

637 = 340 x 1 + 297

Step 2: Since the reminder 340 ≠ 0, we apply division lemma to 297 and 340, to get

340 = 297 x 1 + 43

Step 3: We consider the new divisor 297 and the new remainder 43, and apply the division lemma to get

297 = 43 x 6 + 39

We consider the new divisor 43 and the new remainder 39,and apply the division lemma to get

43 = 39 x 1 + 4

We consider the new divisor 39 and the new remainder 4,and apply the division lemma to get

39 = 4 x 9 + 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 340 and 637 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(39,4) = HCF(43,39) = HCF(297,43) = HCF(340,297) = HCF(637,340) .

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

Step 1: Since 423 > 1, we apply the division lemma to 423 and 1, to get

423 = 1 x 423 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 423 is 1

Notice that 1 = HCF(423,1) .

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Frequently Asked Questions on HCF of 340, 637, 423 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 340, 637, 423?

Answer: HCF of 340, 637, 423 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 340, 637, 423 using Euclid's Algorithm?

Answer: For arbitrary numbers 340, 637, 423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.