Highest Common Factor of 691, 495, 595 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 691, 495, 595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 691, 495, 595 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 691, 495, 595 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 691, 495, 595 is 1.

HCF(691, 495, 595) = 1

HCF of 691, 495, 595 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 691, 495, 595 is 1.

Highest Common Factor of 691,495,595 using Euclid's algorithm

Highest Common Factor of 691,495,595 is 1

Step 1: Since 691 > 495, we apply the division lemma to 691 and 495, to get

691 = 495 x 1 + 196

Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 196 and 495, to get

495 = 196 x 2 + 103

Step 3: We consider the new divisor 196 and the new remainder 103, and apply the division lemma to get

196 = 103 x 1 + 93

We consider the new divisor 103 and the new remainder 93,and apply the division lemma to get

103 = 93 x 1 + 10

We consider the new divisor 93 and the new remainder 10,and apply the division lemma to get

93 = 10 x 9 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 691 and 495 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(93,10) = HCF(103,93) = HCF(196,103) = HCF(495,196) = HCF(691,495) .

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

Step 1: Since 595 > 1, we apply the division lemma to 595 and 1, to get

595 = 1 x 595 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 595 is 1

Notice that 1 = HCF(595,1) .

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Frequently Asked Questions on HCF of 691, 495, 595 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 691, 495, 595?

Answer: HCF of 691, 495, 595 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 691, 495, 595 using Euclid's Algorithm?

Answer: For arbitrary numbers 691, 495, 595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.