Highest Common Factor of 335, 938, 914 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 335, 938, 914 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 335, 938, 914 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 335, 938, 914 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 335, 938, 914 is 1.

HCF(335, 938, 914) = 1

HCF of 335, 938, 914 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 335, 938, 914 is 1.

Highest Common Factor of 335,938,914 using Euclid's algorithm

Highest Common Factor of 335,938,914 is 1

Step 1: Since 938 > 335, we apply the division lemma to 938 and 335, to get

938 = 335 x 2 + 268

Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 268 and 335, to get

335 = 268 x 1 + 67

Step 3: We consider the new divisor 268 and the new remainder 67, and apply the division lemma to get

268 = 67 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 67, the HCF of 335 and 938 is 67

Notice that 67 = HCF(268,67) = HCF(335,268) = HCF(938,335) .

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

Step 1: Since 914 > 67, we apply the division lemma to 914 and 67, to get

914 = 67 x 13 + 43

Step 2: Since the reminder 67 ≠ 0, we apply division lemma to 43 and 67, to get

67 = 43 x 1 + 24

Step 3: We consider the new divisor 43 and the new remainder 24, and apply the division lemma to get

43 = 24 x 1 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 67 and 914 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(43,24) = HCF(67,43) = HCF(914,67) .

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Frequently Asked Questions on HCF of 335, 938, 914 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 335, 938, 914?

Answer: HCF of 335, 938, 914 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 335, 938, 914 using Euclid's Algorithm?

Answer: For arbitrary numbers 335, 938, 914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.