Highest Common Factor of 629, 788, 39 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 629, 788, 39 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 629, 788, 39 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 629, 788, 39 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 629, 788, 39 is 1.

HCF(629, 788, 39) = 1

HCF of 629, 788, 39 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 629, 788, 39 is 1.

Highest Common Factor of 629,788,39 using Euclid's algorithm

Highest Common Factor of 629,788,39 is 1

Step 1: Since 788 > 629, we apply the division lemma to 788 and 629, to get

788 = 629 x 1 + 159

Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 159 and 629, to get

629 = 159 x 3 + 152

Step 3: We consider the new divisor 159 and the new remainder 152, and apply the division lemma to get

159 = 152 x 1 + 7

We consider the new divisor 152 and the new remainder 7,and apply the division lemma to get

152 = 7 x 21 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 629 and 788 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(152,7) = HCF(159,152) = HCF(629,159) = HCF(788,629) .

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

Step 1: Since 39 > 1, we apply the division lemma to 39 and 1, to get

39 = 1 x 39 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39 is 1

Notice that 1 = HCF(39,1) .

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Frequently Asked Questions on HCF of 629, 788, 39 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 629, 788, 39?

Answer: HCF of 629, 788, 39 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 629, 788, 39 using Euclid's Algorithm?

Answer: For arbitrary numbers 629, 788, 39 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.