Highest Common Factor of 691, 995, 190 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, 995, 190 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 691, 995, 190 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, 995, 190 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, 995, 190 is 1.

HCF(691, 995, 190) = 1

HCF of 691, 995, 190 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, 995, 190 is 1.

Highest Common Factor of 691,995,190 using Euclid's algorithm

Highest Common Factor of 691,995,190 is 1

Step 1: Since 995 > 691, we apply the division lemma to 995 and 691, to get

995 = 691 x 1 + 304

Step 2: Since the reminder 691 ≠ 0, we apply division lemma to 304 and 691, to get

691 = 304 x 2 + 83

Step 3: We consider the new divisor 304 and the new remainder 83, and apply the division lemma to get

304 = 83 x 3 + 55

We consider the new divisor 83 and the new remainder 55,and apply the division lemma to get

83 = 55 x 1 + 28

We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get

55 = 28 x 1 + 27

We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get

28 = 27 x 1 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 691 and 995 is 1

Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(83,55) = HCF(304,83) = HCF(691,304) = HCF(995,691) .

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

Step 1: Since 190 > 1, we apply the division lemma to 190 and 1, to get

190 = 1 x 190 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 190 is 1

Notice that 1 = HCF(190,1) .

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Frequently Asked Questions on HCF of 691, 995, 190 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, 995, 190?

Answer: HCF of 691, 995, 190 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 691, 995, 190 using Euclid's Algorithm?

Answer: For arbitrary numbers 691, 995, 190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.