Highest Common Factor of 744, 992, 911 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 744, 992, 911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 744, 992, 911 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 744, 992, 911 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 744, 992, 911 is 1.

HCF(744, 992, 911) = 1

HCF of 744, 992, 911 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 744, 992, 911 is 1.

Highest Common Factor of 744,992,911 using Euclid's algorithm

Highest Common Factor of 744,992,911 is 1

Step 1: Since 992 > 744, we apply the division lemma to 992 and 744, to get

992 = 744 x 1 + 248

Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 248 and 744, to get

744 = 248 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 248, the HCF of 744 and 992 is 248

Notice that 248 = HCF(744,248) = HCF(992,744) .

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

Step 1: Since 911 > 248, we apply the division lemma to 911 and 248, to get

911 = 248 x 3 + 167

Step 2: Since the reminder 248 ≠ 0, we apply division lemma to 167 and 248, to get

248 = 167 x 1 + 81

Step 3: We consider the new divisor 167 and the new remainder 81, and apply the division lemma to get

167 = 81 x 2 + 5

We consider the new divisor 81 and the new remainder 5,and apply the division lemma to get

81 = 5 x 16 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 248 and 911 is 1

Notice that 1 = HCF(5,1) = HCF(81,5) = HCF(167,81) = HCF(248,167) = HCF(911,248) .

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Frequently Asked Questions on HCF of 744, 992, 911 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 744, 992, 911?

Answer: HCF of 744, 992, 911 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 744, 992, 911 using Euclid's Algorithm?

Answer: For arbitrary numbers 744, 992, 911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.