Highest Common Factor of 575, 939, 334 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 575, 939, 334 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 575, 939, 334 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 575, 939, 334 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 575, 939, 334 is 1.

HCF(575, 939, 334) = 1

HCF of 575, 939, 334 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 575, 939, 334 is 1.

Highest Common Factor of 575,939,334 using Euclid's algorithm

Highest Common Factor of 575,939,334 is 1

Step 1: Since 939 > 575, we apply the division lemma to 939 and 575, to get

939 = 575 x 1 + 364

Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 364 and 575, to get

575 = 364 x 1 + 211

Step 3: We consider the new divisor 364 and the new remainder 211, and apply the division lemma to get

364 = 211 x 1 + 153

We consider the new divisor 211 and the new remainder 153,and apply the division lemma to get

211 = 153 x 1 + 58

We consider the new divisor 153 and the new remainder 58,and apply the division lemma to get

153 = 58 x 2 + 37

We consider the new divisor 58 and the new remainder 37,and apply the division lemma to get

58 = 37 x 1 + 21

We consider the new divisor 37 and the new remainder 21,and apply the division lemma to get

37 = 21 x 1 + 16

We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get

21 = 16 x 1 + 5

We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get

16 = 5 x 3 + 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 575 and 939 is 1

Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(58,37) = HCF(153,58) = HCF(211,153) = HCF(364,211) = HCF(575,364) = HCF(939,575) .

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

Step 1: Since 334 > 1, we apply the division lemma to 334 and 1, to get

334 = 1 x 334 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 334 is 1

Notice that 1 = HCF(334,1) .

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Frequently Asked Questions on HCF of 575, 939, 334 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 575, 939, 334?

Answer: HCF of 575, 939, 334 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 575, 939, 334 using Euclid's Algorithm?

Answer: For arbitrary numbers 575, 939, 334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.