Highest Common Factor of 621, 836, 298 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, 836, 298 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 621, 836, 298 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, 836, 298 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, 836, 298 is 1.

HCF(621, 836, 298) = 1

HCF of 621, 836, 298 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, 836, 298 is 1.

Highest Common Factor of 621,836,298 using Euclid's algorithm

Highest Common Factor of 621,836,298 is 1

Step 1: Since 836 > 621, we apply the division lemma to 836 and 621, to get

836 = 621 x 1 + 215

Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 215 and 621, to get

621 = 215 x 2 + 191

Step 3: We consider the new divisor 215 and the new remainder 191, and apply the division lemma to get

215 = 191 x 1 + 24

We consider the new divisor 191 and the new remainder 24,and apply the division lemma to get

191 = 24 x 7 + 23

We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get

24 = 23 x 1 + 1

We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 621 and 836 is 1

Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(191,24) = HCF(215,191) = HCF(621,215) = HCF(836,621) .

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

Step 1: Since 298 > 1, we apply the division lemma to 298 and 1, to get

298 = 1 x 298 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 298 is 1

Notice that 1 = HCF(298,1) .

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Frequently Asked Questions on HCF of 621, 836, 298 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, 836, 298?

Answer: HCF of 621, 836, 298 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 621, 836, 298 using Euclid's Algorithm?

Answer: For arbitrary numbers 621, 836, 298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.