Highest Common Factor of 621, 970, 473, 706 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 621, 970, 473, 706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 621, 970, 473, 706 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 621, 970, 473, 706 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 621, 970, 473, 706 is 1.

HCF(621, 970, 473, 706) = 1

HCF of 621, 970, 473, 706 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 621, 970, 473, 706 is 1.

Highest Common Factor of 621,970,473,706 using Euclid's algorithm

Highest Common Factor of 621,970,473,706 is 1

Step 1: Since 970 > 621, we apply the division lemma to 970 and 621, to get

970 = 621 x 1 + 349

Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 349 and 621, to get

621 = 349 x 1 + 272

Step 3: We consider the new divisor 349 and the new remainder 272, and apply the division lemma to get

349 = 272 x 1 + 77

We consider the new divisor 272 and the new remainder 77,and apply the division lemma to get

272 = 77 x 3 + 41

We consider the new divisor 77 and the new remainder 41,and apply the division lemma to get

77 = 41 x 1 + 36

We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get

41 = 36 x 1 + 5

We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get

36 = 5 x 7 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 621 and 970 is 1

Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(77,41) = HCF(272,77) = HCF(349,272) = HCF(621,349) = HCF(970,621) .

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

Step 1: Since 473 > 1, we apply the division lemma to 473 and 1, to get

473 = 1 x 473 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 473 is 1

Notice that 1 = HCF(473,1) .

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

Step 1: Since 706 > 1, we apply the division lemma to 706 and 1, to get

706 = 1 x 706 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 706 is 1

Notice that 1 = HCF(706,1) .

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Frequently Asked Questions on HCF of 621, 970, 473, 706 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 621, 970, 473, 706?

Answer: HCF of 621, 970, 473, 706 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 621, 970, 473, 706 using Euclid's Algorithm?

Answer: For arbitrary numbers 621, 970, 473, 706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.