Highest Common Factor of 639, 1694, 1718 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 639, 1694, 1718 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 639, 1694, 1718 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 639, 1694, 1718 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 639, 1694, 1718 is 1.

HCF(639, 1694, 1718) = 1

HCF of 639, 1694, 1718 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 639, 1694, 1718 is 1.

Highest Common Factor of 639,1694,1718 using Euclid's algorithm

Highest Common Factor of 639,1694,1718 is 1

Step 1: Since 1694 > 639, we apply the division lemma to 1694 and 639, to get

1694 = 639 x 2 + 416

Step 2: Since the reminder 639 ≠ 0, we apply division lemma to 416 and 639, to get

639 = 416 x 1 + 223

Step 3: We consider the new divisor 416 and the new remainder 223, and apply the division lemma to get

416 = 223 x 1 + 193

We consider the new divisor 223 and the new remainder 193,and apply the division lemma to get

223 = 193 x 1 + 30

We consider the new divisor 193 and the new remainder 30,and apply the division lemma to get

193 = 30 x 6 + 13

We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get

30 = 13 x 2 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 639 and 1694 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(193,30) = HCF(223,193) = HCF(416,223) = HCF(639,416) = HCF(1694,639) .

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

Step 1: Since 1718 > 1, we apply the division lemma to 1718 and 1, to get

1718 = 1 x 1718 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1718 is 1

Notice that 1 = HCF(1718,1) .

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Frequently Asked Questions on HCF of 639, 1694, 1718 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 639, 1694, 1718?

Answer: HCF of 639, 1694, 1718 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 639, 1694, 1718 using Euclid's Algorithm?

Answer: For arbitrary numbers 639, 1694, 1718 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.