Highest Common Factor of 751, 924, 22 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 751, 924, 22 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 751, 924, 22 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 751, 924, 22 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 751, 924, 22 is 1.

HCF(751, 924, 22) = 1

HCF of 751, 924, 22 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 751, 924, 22 is 1.

Highest Common Factor of 751,924,22 using Euclid's algorithm

Highest Common Factor of 751,924,22 is 1

Step 1: Since 924 > 751, we apply the division lemma to 924 and 751, to get

924 = 751 x 1 + 173

Step 2: Since the reminder 751 ≠ 0, we apply division lemma to 173 and 751, to get

751 = 173 x 4 + 59

Step 3: We consider the new divisor 173 and the new remainder 59, and apply the division lemma to get

173 = 59 x 2 + 55

We consider the new divisor 59 and the new remainder 55,and apply the division lemma to get

59 = 55 x 1 + 4

We consider the new divisor 55 and the new remainder 4,and apply the division lemma to get

55 = 4 x 13 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 924 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(55,4) = HCF(59,55) = HCF(173,59) = HCF(751,173) = HCF(924,751) .

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

Step 1: Since 22 > 1, we apply the division lemma to 22 and 1, to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22 is 1

Notice that 1 = HCF(22,1) .

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Frequently Asked Questions on HCF of 751, 924, 22 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 751, 924, 22?

Answer: HCF of 751, 924, 22 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 751, 924, 22 using Euclid's Algorithm?

Answer: For arbitrary numbers 751, 924, 22 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.