Highest Common Factor of 436, 691, 734 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 436, 691, 734 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 436, 691, 734 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 436, 691, 734 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 436, 691, 734 is 1.

HCF(436, 691, 734) = 1

HCF of 436, 691, 734 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 436, 691, 734 is 1.

Highest Common Factor of 436,691,734 using Euclid's algorithm

Highest Common Factor of 436,691,734 is 1

Step 1: Since 691 > 436, we apply the division lemma to 691 and 436, to get

691 = 436 x 1 + 255

Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 255 and 436, to get

436 = 255 x 1 + 181

Step 3: We consider the new divisor 255 and the new remainder 181, and apply the division lemma to get

255 = 181 x 1 + 74

We consider the new divisor 181 and the new remainder 74,and apply the division lemma to get

181 = 74 x 2 + 33

We consider the new divisor 74 and the new remainder 33,and apply the division lemma to get

74 = 33 x 2 + 8

We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get

33 = 8 x 4 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 436 and 691 is 1

Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(74,33) = HCF(181,74) = HCF(255,181) = HCF(436,255) = HCF(691,436) .

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

Step 1: Since 734 > 1, we apply the division lemma to 734 and 1, to get

734 = 1 x 734 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 734 is 1

Notice that 1 = HCF(734,1) .

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Frequently Asked Questions on HCF of 436, 691, 734 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 436, 691, 734?

Answer: HCF of 436, 691, 734 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 436, 691, 734 using Euclid's Algorithm?

Answer: For arbitrary numbers 436, 691, 734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.