Highest Common Factor of 991, 621, 805 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, 621, 805 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 991, 621, 805 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, 621, 805 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, 621, 805 is 1.

HCF(991, 621, 805) = 1

HCF of 991, 621, 805 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, 621, 805 is 1.

Highest Common Factor of 991,621,805 using Euclid's algorithm

Highest Common Factor of 991,621,805 is 1

Step 1: Since 991 > 621, we apply the division lemma to 991 and 621, to get

991 = 621 x 1 + 370

Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 370 and 621, to get

621 = 370 x 1 + 251

Step 3: We consider the new divisor 370 and the new remainder 251, and apply the division lemma to get

370 = 251 x 1 + 119

We consider the new divisor 251 and the new remainder 119,and apply the division lemma to get

251 = 119 x 2 + 13

We consider the new divisor 119 and the new remainder 13,and apply the division lemma to get

119 = 13 x 9 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 991 and 621 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(119,13) = HCF(251,119) = HCF(370,251) = HCF(621,370) = HCF(991,621) .

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

Step 1: Since 805 > 1, we apply the division lemma to 805 and 1, to get

805 = 1 x 805 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 805 is 1

Notice that 1 = HCF(805,1) .

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Frequently Asked Questions on HCF of 991, 621, 805 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, 621, 805?

Answer: HCF of 991, 621, 805 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 991, 621, 805 using Euclid's Algorithm?

Answer: For arbitrary numbers 991, 621, 805 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.