Highest Common Factor of 617, 937, 844, 821 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 617, 937, 844, 821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 617, 937, 844, 821 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 617, 937, 844, 821 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 617, 937, 844, 821 is 1.

HCF(617, 937, 844, 821) = 1

HCF of 617, 937, 844, 821 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 617, 937, 844, 821 is 1.

Highest Common Factor of 617,937,844,821 using Euclid's algorithm

Highest Common Factor of 617,937,844,821 is 1

Step 1: Since 937 > 617, we apply the division lemma to 937 and 617, to get

937 = 617 x 1 + 320

Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 320 and 617, to get

617 = 320 x 1 + 297

Step 3: We consider the new divisor 320 and the new remainder 297, and apply the division lemma to get

320 = 297 x 1 + 23

We consider the new divisor 297 and the new remainder 23,and apply the division lemma to get

297 = 23 x 12 + 21

We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get

23 = 21 x 1 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 617 and 937 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(297,23) = HCF(320,297) = HCF(617,320) = HCF(937,617) .

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

Step 1: Since 844 > 1, we apply the division lemma to 844 and 1, to get

844 = 1 x 844 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 844 is 1

Notice that 1 = HCF(844,1) .

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

Step 1: Since 821 > 1, we apply the division lemma to 821 and 1, to get

821 = 1 x 821 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 821 is 1

Notice that 1 = HCF(821,1) .

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Frequently Asked Questions on HCF of 617, 937, 844, 821 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 617, 937, 844, 821?

Answer: HCF of 617, 937, 844, 821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 617, 937, 844, 821 using Euclid's Algorithm?

Answer: For arbitrary numbers 617, 937, 844, 821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.