Highest Common Factor of 991, 601, 403 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 991, 601, 403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 991, 601, 403 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 991, 601, 403 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 991, 601, 403 is 1.

HCF(991, 601, 403) = 1

HCF of 991, 601, 403 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 991, 601, 403 is 1.

Highest Common Factor of 991,601,403 using Euclid's algorithm

Highest Common Factor of 991,601,403 is 1

Step 1: Since 991 > 601, we apply the division lemma to 991 and 601, to get

991 = 601 x 1 + 390

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 390 and 601, to get

601 = 390 x 1 + 211

Step 3: We consider the new divisor 390 and the new remainder 211, and apply the division lemma to get

390 = 211 x 1 + 179

We consider the new divisor 211 and the new remainder 179,and apply the division lemma to get

211 = 179 x 1 + 32

We consider the new divisor 179 and the new remainder 32,and apply the division lemma to get

179 = 32 x 5 + 19

We consider the new divisor 32 and the new remainder 19,and apply the division lemma to get

32 = 19 x 1 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 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 991 and 601 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(32,19) = HCF(179,32) = HCF(211,179) = HCF(390,211) = HCF(601,390) = HCF(991,601) .

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

Step 1: Since 403 > 1, we apply the division lemma to 403 and 1, to get

403 = 1 x 403 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 403 is 1

Notice that 1 = HCF(403,1) .

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Frequently Asked Questions on HCF of 991, 601, 403 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 991, 601, 403?

Answer: HCF of 991, 601, 403 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 991, 601, 403 using Euclid's Algorithm?

Answer: For arbitrary numbers 991, 601, 403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.