Highest Common Factor of 349, 476, 176 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 349, 476, 176 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 349, 476, 176 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 349, 476, 176 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 349, 476, 176 is 1.

HCF(349, 476, 176) = 1

HCF of 349, 476, 176 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 349, 476, 176 is 1.

Highest Common Factor of 349,476,176 using Euclid's algorithm

Highest Common Factor of 349,476,176 is 1

Step 1: Since 476 > 349, we apply the division lemma to 476 and 349, to get

476 = 349 x 1 + 127

Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 127 and 349, to get

349 = 127 x 2 + 95

Step 3: We consider the new divisor 127 and the new remainder 95, and apply the division lemma to get

127 = 95 x 1 + 32

We consider the new divisor 95 and the new remainder 32,and apply the division lemma to get

95 = 32 x 2 + 31

We consider the new divisor 32 and the new remainder 31,and apply the division lemma to get

32 = 31 x 1 + 1

We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get

31 = 1 x 31 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 349 and 476 is 1

Notice that 1 = HCF(31,1) = HCF(32,31) = HCF(95,32) = HCF(127,95) = HCF(349,127) = HCF(476,349) .

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

Step 1: Since 176 > 1, we apply the division lemma to 176 and 1, to get

176 = 1 x 176 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 176 is 1

Notice that 1 = HCF(176,1) .

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Frequently Asked Questions on HCF of 349, 476, 176 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 349, 476, 176?

Answer: HCF of 349, 476, 176 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 349, 476, 176 using Euclid's Algorithm?

Answer: For arbitrary numbers 349, 476, 176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.