Highest Common Factor of 347, 900, 451 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 347, 900, 451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 347, 900, 451 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 347, 900, 451 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 347, 900, 451 is 1.

HCF(347, 900, 451) = 1

HCF of 347, 900, 451 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 347, 900, 451 is 1.

Highest Common Factor of 347,900,451 using Euclid's algorithm

Highest Common Factor of 347,900,451 is 1

Step 1: Since 900 > 347, we apply the division lemma to 900 and 347, to get

900 = 347 x 2 + 206

Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 206 and 347, to get

347 = 206 x 1 + 141

Step 3: We consider the new divisor 206 and the new remainder 141, and apply the division lemma to get

206 = 141 x 1 + 65

We consider the new divisor 141 and the new remainder 65,and apply the division lemma to get

141 = 65 x 2 + 11

We consider the new divisor 65 and the new remainder 11,and apply the division lemma to get

65 = 11 x 5 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 347 and 900 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(65,11) = HCF(141,65) = HCF(206,141) = HCF(347,206) = HCF(900,347) .

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

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

451 = 1 x 451 + 0

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

Notice that 1 = HCF(451,1) .

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Frequently Asked Questions on HCF of 347, 900, 451 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 347, 900, 451?

Answer: HCF of 347, 900, 451 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 347, 900, 451 using Euclid's Algorithm?

Answer: For arbitrary numbers 347, 900, 451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.