Highest Common Factor of 535, 372, 294, 14 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 535, 372, 294, 14 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 535, 372, 294, 14 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 535, 372, 294, 14 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 535, 372, 294, 14 is 1.

HCF(535, 372, 294, 14) = 1

HCF of 535, 372, 294, 14 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 535, 372, 294, 14 is 1.

Highest Common Factor of 535,372,294,14 using Euclid's algorithm

Highest Common Factor of 535,372,294,14 is 1

Step 1: Since 535 > 372, we apply the division lemma to 535 and 372, to get

535 = 372 x 1 + 163

Step 2: Since the reminder 372 ≠ 0, we apply division lemma to 163 and 372, to get

372 = 163 x 2 + 46

Step 3: We consider the new divisor 163 and the new remainder 46, and apply the division lemma to get

163 = 46 x 3 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 535 and 372 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(163,46) = HCF(372,163) = HCF(535,372) .

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

Step 1: Since 294 > 1, we apply the division lemma to 294 and 1, to get

294 = 1 x 294 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 294 is 1

Notice that 1 = HCF(294,1) .

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

Step 1: Since 14 > 1, we apply the division lemma to 14 and 1, to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 14 is 1

Notice that 1 = HCF(14,1) .

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Frequently Asked Questions on HCF of 535, 372, 294, 14 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 535, 372, 294, 14?

Answer: HCF of 535, 372, 294, 14 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 535, 372, 294, 14 using Euclid's Algorithm?

Answer: For arbitrary numbers 535, 372, 294, 14 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.