Highest Common Factor of 911, 334, 355 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 911, 334, 355 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 911, 334, 355 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 911, 334, 355 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 911, 334, 355 is 1.

HCF(911, 334, 355) = 1

HCF of 911, 334, 355 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 911, 334, 355 is 1.

Highest Common Factor of 911,334,355 using Euclid's algorithm

Highest Common Factor of 911,334,355 is 1

Step 1: Since 911 > 334, we apply the division lemma to 911 and 334, to get

911 = 334 x 2 + 243

Step 2: Since the reminder 334 ≠ 0, we apply division lemma to 243 and 334, to get

334 = 243 x 1 + 91

Step 3: We consider the new divisor 243 and the new remainder 91, and apply the division lemma to get

243 = 91 x 2 + 61

We consider the new divisor 91 and the new remainder 61,and apply the division lemma to get

91 = 61 x 1 + 30

We consider the new divisor 61 and the new remainder 30,and apply the division lemma to get

61 = 30 x 2 + 1

We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 334 is 1

Notice that 1 = HCF(30,1) = HCF(61,30) = HCF(91,61) = HCF(243,91) = HCF(334,243) = HCF(911,334) .

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

Step 1: Since 355 > 1, we apply the division lemma to 355 and 1, to get

355 = 1 x 355 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 355 is 1

Notice that 1 = HCF(355,1) .

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Frequently Asked Questions on HCF of 911, 334, 355 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 911, 334, 355?

Answer: HCF of 911, 334, 355 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 911, 334, 355 using Euclid's Algorithm?

Answer: For arbitrary numbers 911, 334, 355 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.