Highest Common Factor of 294, 147, 352 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 294, 147, 352 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 294, 147, 352 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 294, 147, 352 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 294, 147, 352 is 1.

HCF(294, 147, 352) = 1

HCF of 294, 147, 352 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 294, 147, 352 is 1.

Highest Common Factor of 294,147,352 using Euclid's algorithm

Highest Common Factor of 294,147,352 is 1

Step 1: Since 294 > 147, we apply the division lemma to 294 and 147, to get

294 = 147 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 147, the HCF of 294 and 147 is 147

Notice that 147 = HCF(294,147) .

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

Step 1: Since 352 > 147, we apply the division lemma to 352 and 147, to get

352 = 147 x 2 + 58

Step 2: Since the reminder 147 ≠ 0, we apply division lemma to 58 and 147, to get

147 = 58 x 2 + 31

Step 3: We consider the new divisor 58 and the new remainder 31, and apply the division lemma to get

58 = 31 x 1 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 147 and 352 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(58,31) = HCF(147,58) = HCF(352,147) .

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Frequently Asked Questions on HCF of 294, 147, 352 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 294, 147, 352?

Answer: HCF of 294, 147, 352 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 294, 147, 352 using Euclid's Algorithm?

Answer: For arbitrary numbers 294, 147, 352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.