Highest Common Factor of 337, 469, 527 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 337, 469, 527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 337, 469, 527 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 337, 469, 527 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 337, 469, 527 is 1.

HCF(337, 469, 527) = 1

HCF of 337, 469, 527 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 337, 469, 527 is 1.

Highest Common Factor of 337,469,527 using Euclid's algorithm

Highest Common Factor of 337,469,527 is 1

Step 1: Since 469 > 337, we apply the division lemma to 469 and 337, to get

469 = 337 x 1 + 132

Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 132 and 337, to get

337 = 132 x 2 + 73

Step 3: We consider the new divisor 132 and the new remainder 73, and apply the division lemma to get

132 = 73 x 1 + 59

We consider the new divisor 73 and the new remainder 59,and apply the division lemma to get

73 = 59 x 1 + 14

We consider the new divisor 59 and the new remainder 14,and apply the division lemma to get

59 = 14 x 4 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 337 and 469 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(59,14) = HCF(73,59) = HCF(132,73) = HCF(337,132) = HCF(469,337) .

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

Step 1: Since 527 > 1, we apply the division lemma to 527 and 1, to get

527 = 1 x 527 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 527 is 1

Notice that 1 = HCF(527,1) .

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Frequently Asked Questions on HCF of 337, 469, 527 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 337, 469, 527?

Answer: HCF of 337, 469, 527 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 337, 469, 527 using Euclid's Algorithm?

Answer: For arbitrary numbers 337, 469, 527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.