Highest Common Factor of 767, 297, 922 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 767, 297, 922 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 767, 297, 922 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 767, 297, 922 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 767, 297, 922 is 1.

HCF(767, 297, 922) = 1

HCF of 767, 297, 922 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 767, 297, 922 is 1.

Highest Common Factor of 767,297,922 using Euclid's algorithm

Highest Common Factor of 767,297,922 is 1

Step 1: Since 767 > 297, we apply the division lemma to 767 and 297, to get

767 = 297 x 2 + 173

Step 2: Since the reminder 297 ≠ 0, we apply division lemma to 173 and 297, to get

297 = 173 x 1 + 124

Step 3: We consider the new divisor 173 and the new remainder 124, and apply the division lemma to get

173 = 124 x 1 + 49

We consider the new divisor 124 and the new remainder 49,and apply the division lemma to get

124 = 49 x 2 + 26

We consider the new divisor 49 and the new remainder 26,and apply the division lemma to get

49 = 26 x 1 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 767 and 297 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(49,26) = HCF(124,49) = HCF(173,124) = HCF(297,173) = HCF(767,297) .

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

Step 1: Since 922 > 1, we apply the division lemma to 922 and 1, to get

922 = 1 x 922 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 922 is 1

Notice that 1 = HCF(922,1) .

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Frequently Asked Questions on HCF of 767, 297, 922 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 767, 297, 922?

Answer: HCF of 767, 297, 922 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 767, 297, 922 using Euclid's Algorithm?

Answer: For arbitrary numbers 767, 297, 922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.