Highest Common Factor of 616, 844, 341 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 616, 844, 341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 616, 844, 341 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 616, 844, 341 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 616, 844, 341 is 1.

HCF(616, 844, 341) = 1

HCF of 616, 844, 341 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 616, 844, 341 is 1.

Highest Common Factor of 616,844,341 using Euclid's algorithm

Highest Common Factor of 616,844,341 is 1

Step 1: Since 844 > 616, we apply the division lemma to 844 and 616, to get

844 = 616 x 1 + 228

Step 2: Since the reminder 616 ≠ 0, we apply division lemma to 228 and 616, to get

616 = 228 x 2 + 160

Step 3: We consider the new divisor 228 and the new remainder 160, and apply the division lemma to get

228 = 160 x 1 + 68

We consider the new divisor 160 and the new remainder 68,and apply the division lemma to get

160 = 68 x 2 + 24

We consider the new divisor 68 and the new remainder 24,and apply the division lemma to get

68 = 24 x 2 + 20

We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get

24 = 20 x 1 + 4

We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 616 and 844 is 4

Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(68,24) = HCF(160,68) = HCF(228,160) = HCF(616,228) = HCF(844,616) .


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

Step 1: Since 341 > 4, we apply the division lemma to 341 and 4, to get

341 = 4 x 85 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 341 is 1

Notice that 1 = HCF(4,1) = HCF(341,4) .

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Frequently Asked Questions on HCF of 616, 844, 341 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 616, 844, 341?

Answer: HCF of 616, 844, 341 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 616, 844, 341 using Euclid's Algorithm?

Answer: For arbitrary numbers 616, 844, 341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.