Highest Common Factor of 901, 343, 411 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 901, 343, 411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 901, 343, 411 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 901, 343, 411 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 901, 343, 411 is 1.

HCF(901, 343, 411) = 1

HCF of 901, 343, 411 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 901, 343, 411 is 1.

Highest Common Factor of 901,343,411 using Euclid's algorithm

Highest Common Factor of 901,343,411 is 1

Step 1: Since 901 > 343, we apply the division lemma to 901 and 343, to get

901 = 343 x 2 + 215

Step 2: Since the reminder 343 ≠ 0, we apply division lemma to 215 and 343, to get

343 = 215 x 1 + 128

Step 3: We consider the new divisor 215 and the new remainder 128, and apply the division lemma to get

215 = 128 x 1 + 87

We consider the new divisor 128 and the new remainder 87,and apply the division lemma to get

128 = 87 x 1 + 41

We consider the new divisor 87 and the new remainder 41,and apply the division lemma to get

87 = 41 x 2 + 5

We consider the new divisor 41 and the new remainder 5,and apply the division lemma to get

41 = 5 x 8 + 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 901 and 343 is 1

Notice that 1 = HCF(5,1) = HCF(41,5) = HCF(87,41) = HCF(128,87) = HCF(215,128) = HCF(343,215) = HCF(901,343) .

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

Step 1: Since 411 > 1, we apply the division lemma to 411 and 1, to get

411 = 1 x 411 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 411 is 1

Notice that 1 = HCF(411,1) .

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Frequently Asked Questions on HCF of 901, 343, 411 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 901, 343, 411?

Answer: HCF of 901, 343, 411 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 901, 343, 411 using Euclid's Algorithm?

Answer: For arbitrary numbers 901, 343, 411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.