Highest Common Factor of 991, 262, 62 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, 262, 62 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 991, 262, 62 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, 262, 62 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, 262, 62 is 1.

HCF(991, 262, 62) = 1

HCF of 991, 262, 62 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, 262, 62 is 1.

Highest Common Factor of 991,262,62 using Euclid's algorithm

Highest Common Factor of 991,262,62 is 1

Step 1: Since 991 > 262, we apply the division lemma to 991 and 262, to get

991 = 262 x 3 + 205

Step 2: Since the reminder 262 ≠ 0, we apply division lemma to 205 and 262, to get

262 = 205 x 1 + 57

Step 3: We consider the new divisor 205 and the new remainder 57, and apply the division lemma to get

205 = 57 x 3 + 34

We consider the new divisor 57 and the new remainder 34,and apply the division lemma to get

57 = 34 x 1 + 23

We consider the new divisor 34 and the new remainder 23,and apply the division lemma to get

34 = 23 x 1 + 11

We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get

23 = 11 x 2 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 991 and 262 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(34,23) = HCF(57,34) = HCF(205,57) = HCF(262,205) = HCF(991,262) .

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

Step 1: Since 62 > 1, we apply the division lemma to 62 and 1, to get

62 = 1 x 62 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62 is 1

Notice that 1 = HCF(62,1) .

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Frequently Asked Questions on HCF of 991, 262, 62 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, 262, 62?

Answer: HCF of 991, 262, 62 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 991, 262, 62 using Euclid's Algorithm?

Answer: For arbitrary numbers 991, 262, 62 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.