Highest Common Factor of 629, 336, 741, 68 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, 336, 741, 68 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 629, 336, 741, 68 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, 336, 741, 68 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, 336, 741, 68 is 1.

HCF(629, 336, 741, 68) = 1

HCF of 629, 336, 741, 68 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, 336, 741, 68 is 1.

Highest Common Factor of 629,336,741,68 using Euclid's algorithm

Highest Common Factor of 629,336,741,68 is 1

Step 1: Since 629 > 336, we apply the division lemma to 629 and 336, to get

629 = 336 x 1 + 293

Step 2: Since the reminder 336 ≠ 0, we apply division lemma to 293 and 336, to get

336 = 293 x 1 + 43

Step 3: We consider the new divisor 293 and the new remainder 43, and apply the division lemma to get

293 = 43 x 6 + 35

We consider the new divisor 43 and the new remainder 35,and apply the division lemma to get

43 = 35 x 1 + 8

We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get

35 = 8 x 4 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 336 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(43,35) = HCF(293,43) = HCF(336,293) = HCF(629,336) .

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

Step 1: Since 741 > 1, we apply the division lemma to 741 and 1, to get

741 = 1 x 741 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 741 is 1

Notice that 1 = HCF(741,1) .

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

Step 1: Since 68 > 1, we apply the division lemma to 68 and 1, to get

68 = 1 x 68 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68 is 1

Notice that 1 = HCF(68,1) .

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Frequently Asked Questions on HCF of 629, 336, 741, 68 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, 336, 741, 68?

Answer: HCF of 629, 336, 741, 68 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 629, 336, 741, 68 using Euclid's Algorithm?

Answer: For arbitrary numbers 629, 336, 741, 68 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.