Highest Common Factor of 917, 6183 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 917, 6183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 917, 6183 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 917, 6183 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 917, 6183 is 1.

HCF(917, 6183) = 1

HCF of 917, 6183 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 917, 6183 is 1.

Highest Common Factor of 917,6183 using Euclid's algorithm

Highest Common Factor of 917,6183 is 1

Step 1: Since 6183 > 917, we apply the division lemma to 6183 and 917, to get

6183 = 917 x 6 + 681

Step 2: Since the reminder 917 ≠ 0, we apply division lemma to 681 and 917, to get

917 = 681 x 1 + 236

Step 3: We consider the new divisor 681 and the new remainder 236, and apply the division lemma to get

681 = 236 x 2 + 209

We consider the new divisor 236 and the new remainder 209,and apply the division lemma to get

236 = 209 x 1 + 27

We consider the new divisor 209 and the new remainder 27,and apply the division lemma to get

209 = 27 x 7 + 20

We consider the new divisor 27 and the new remainder 20,and apply the division lemma to get

27 = 20 x 1 + 7

We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get

20 = 7 x 2 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 917 and 6183 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(27,20) = HCF(209,27) = HCF(236,209) = HCF(681,236) = HCF(917,681) = HCF(6183,917) .

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Frequently Asked Questions on HCF of 917, 6183 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 917, 6183?

Answer: HCF of 917, 6183 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 917, 6183 using Euclid's Algorithm?

Answer: For arbitrary numbers 917, 6183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.