Highest Common Factor of 334, 639, 467 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 334, 639, 467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 334, 639, 467 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 334, 639, 467 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 334, 639, 467 is 1.

HCF(334, 639, 467) = 1

HCF of 334, 639, 467 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 334, 639, 467 is 1.

Highest Common Factor of 334,639,467 using Euclid's algorithm

Highest Common Factor of 334,639,467 is 1

Step 1: Since 639 > 334, we apply the division lemma to 639 and 334, to get

639 = 334 x 1 + 305

Step 2: Since the reminder 334 ≠ 0, we apply division lemma to 305 and 334, to get

334 = 305 x 1 + 29

Step 3: We consider the new divisor 305 and the new remainder 29, and apply the division lemma to get

305 = 29 x 10 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 334 and 639 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(305,29) = HCF(334,305) = HCF(639,334) .

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

Step 1: Since 467 > 1, we apply the division lemma to 467 and 1, to get

467 = 1 x 467 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 467 is 1

Notice that 1 = HCF(467,1) .

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Frequently Asked Questions on HCF of 334, 639, 467 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 334, 639, 467?

Answer: HCF of 334, 639, 467 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 334, 639, 467 using Euclid's Algorithm?

Answer: For arbitrary numbers 334, 639, 467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.