Highest Common Factor of 3395, 7597, 19969 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 3395, 7597, 19969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3395, 7597, 19969 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 3395, 7597, 19969 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 3395, 7597, 19969 is 1.

HCF(3395, 7597, 19969) = 1

HCF of 3395, 7597, 19969 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 3395, 7597, 19969 is 1.

Highest Common Factor of 3395,7597,19969 using Euclid's algorithm

Highest Common Factor of 3395,7597,19969 is 1

Step 1: Since 7597 > 3395, we apply the division lemma to 7597 and 3395, to get

7597 = 3395 x 2 + 807

Step 2: Since the reminder 3395 ≠ 0, we apply division lemma to 807 and 3395, to get

3395 = 807 x 4 + 167

Step 3: We consider the new divisor 807 and the new remainder 167, and apply the division lemma to get

807 = 167 x 4 + 139

We consider the new divisor 167 and the new remainder 139,and apply the division lemma to get

167 = 139 x 1 + 28

We consider the new divisor 139 and the new remainder 28,and apply the division lemma to get

139 = 28 x 4 + 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 3395 and 7597 is 1

Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(139,28) = HCF(167,139) = HCF(807,167) = HCF(3395,807) = HCF(7597,3395) .

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

Step 1: Since 19969 > 1, we apply the division lemma to 19969 and 1, to get

19969 = 1 x 19969 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19969 is 1

Notice that 1 = HCF(19969,1) .

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Frequently Asked Questions on HCF of 3395, 7597, 19969 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 3395, 7597, 19969?

Answer: HCF of 3395, 7597, 19969 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3395, 7597, 19969 using Euclid's Algorithm?

Answer: For arbitrary numbers 3395, 7597, 19969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.