Highest Common Factor of 742, 451, 951 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 742, 451, 951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 742, 451, 951 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 742, 451, 951 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 742, 451, 951 is 1.

HCF(742, 451, 951) = 1

HCF of 742, 451, 951 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 742, 451, 951 is 1.

Highest Common Factor of 742,451,951 using Euclid's algorithm

Highest Common Factor of 742,451,951 is 1

Step 1: Since 742 > 451, we apply the division lemma to 742 and 451, to get

742 = 451 x 1 + 291

Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 291 and 451, to get

451 = 291 x 1 + 160

Step 3: We consider the new divisor 291 and the new remainder 160, and apply the division lemma to get

291 = 160 x 1 + 131

We consider the new divisor 160 and the new remainder 131,and apply the division lemma to get

160 = 131 x 1 + 29

We consider the new divisor 131 and the new remainder 29,and apply the division lemma to get

131 = 29 x 4 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 742 and 451 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(131,29) = HCF(160,131) = HCF(291,160) = HCF(451,291) = HCF(742,451) .

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

Step 1: Since 951 > 1, we apply the division lemma to 951 and 1, to get

951 = 1 x 951 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 951 is 1

Notice that 1 = HCF(951,1) .

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Frequently Asked Questions on HCF of 742, 451, 951 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 742, 451, 951?

Answer: HCF of 742, 451, 951 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 742, 451, 951 using Euclid's Algorithm?

Answer: For arbitrary numbers 742, 451, 951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.