Highest Common Factor of 707, 436, 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 707, 436, 467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 707, 436, 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 707, 436, 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 707, 436, 467 is 1.

HCF(707, 436, 467) = 1

HCF of 707, 436, 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 707, 436, 467 is 1.

Highest Common Factor of 707,436,467 using Euclid's algorithm

Highest Common Factor of 707,436,467 is 1

Step 1: Since 707 > 436, we apply the division lemma to 707 and 436, to get

707 = 436 x 1 + 271

Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 271 and 436, to get

436 = 271 x 1 + 165

Step 3: We consider the new divisor 271 and the new remainder 165, and apply the division lemma to get

271 = 165 x 1 + 106

We consider the new divisor 165 and the new remainder 106,and apply the division lemma to get

165 = 106 x 1 + 59

We consider the new divisor 106 and the new remainder 59,and apply the division lemma to get

106 = 59 x 1 + 47

We consider the new divisor 59 and the new remainder 47,and apply the division lemma to get

59 = 47 x 1 + 12

We consider the new divisor 47 and the new remainder 12,and apply the division lemma to get

47 = 12 x 3 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 707 and 436 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(47,12) = HCF(59,47) = HCF(106,59) = HCF(165,106) = HCF(271,165) = HCF(436,271) = HCF(707,436) .

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 707, 436, 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 707, 436, 467?

Answer: HCF of 707, 436, 467 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 707, 436, 467 using Euclid's Algorithm?

Answer: For arbitrary numbers 707, 436, 467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.