Highest Common Factor of 621, 985, 93 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, 985, 93 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 621, 985, 93 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, 985, 93 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, 985, 93 is 1.

HCF(621, 985, 93) = 1

HCF of 621, 985, 93 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, 985, 93 is 1.

Highest Common Factor of 621,985,93 using Euclid's algorithm

Highest Common Factor of 621,985,93 is 1

Step 1: Since 985 > 621, we apply the division lemma to 985 and 621, to get

985 = 621 x 1 + 364

Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 364 and 621, to get

621 = 364 x 1 + 257

Step 3: We consider the new divisor 364 and the new remainder 257, and apply the division lemma to get

364 = 257 x 1 + 107

We consider the new divisor 257 and the new remainder 107,and apply the division lemma to get

257 = 107 x 2 + 43

We consider the new divisor 107 and the new remainder 43,and apply the division lemma to get

107 = 43 x 2 + 21

We consider the new divisor 43 and the new remainder 21,and apply the division lemma to get

43 = 21 x 2 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 621 and 985 is 1

Notice that 1 = HCF(21,1) = HCF(43,21) = HCF(107,43) = HCF(257,107) = HCF(364,257) = HCF(621,364) = HCF(985,621) .

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

Step 1: Since 93 > 1, we apply the division lemma to 93 and 1, to get

93 = 1 x 93 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93 is 1

Notice that 1 = HCF(93,1) .

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Frequently Asked Questions on HCF of 621, 985, 93 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, 985, 93?

Answer: HCF of 621, 985, 93 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 621, 985, 93 using Euclid's Algorithm?

Answer: For arbitrary numbers 621, 985, 93 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.