Highest Common Factor of 901, 2931, 1409 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, 2931, 1409 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 901, 2931, 1409 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, 2931, 1409 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, 2931, 1409 is 1.

HCF(901, 2931, 1409) = 1

HCF of 901, 2931, 1409 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, 2931, 1409 is 1.

Highest Common Factor of 901,2931,1409 using Euclid's algorithm

Highest Common Factor of 901,2931,1409 is 1

Step 1: Since 2931 > 901, we apply the division lemma to 2931 and 901, to get

2931 = 901 x 3 + 228

Step 2: Since the reminder 901 ≠ 0, we apply division lemma to 228 and 901, to get

901 = 228 x 3 + 217

Step 3: We consider the new divisor 228 and the new remainder 217, and apply the division lemma to get

228 = 217 x 1 + 11

We consider the new divisor 217 and the new remainder 11,and apply the division lemma to get

217 = 11 x 19 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 901 and 2931 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(217,11) = HCF(228,217) = HCF(901,228) = HCF(2931,901) .

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

Step 1: Since 1409 > 1, we apply the division lemma to 1409 and 1, to get

1409 = 1 x 1409 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1409 is 1

Notice that 1 = HCF(1409,1) .

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Frequently Asked Questions on HCF of 901, 2931, 1409 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, 2931, 1409?

Answer: HCF of 901, 2931, 1409 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 901, 2931, 1409 using Euclid's Algorithm?

Answer: For arbitrary numbers 901, 2931, 1409 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.