Highest Common Factor of 358, 973, 147 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 358, 973, 147 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 358, 973, 147 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 358, 973, 147 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 358, 973, 147 is 1.

HCF(358, 973, 147) = 1

HCF of 358, 973, 147 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 358, 973, 147 is 1.

Highest Common Factor of 358,973,147 using Euclid's algorithm

Highest Common Factor of 358,973,147 is 1

Step 1: Since 973 > 358, we apply the division lemma to 973 and 358, to get

973 = 358 x 2 + 257

Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 257 and 358, to get

358 = 257 x 1 + 101

Step 3: We consider the new divisor 257 and the new remainder 101, and apply the division lemma to get

257 = 101 x 2 + 55

We consider the new divisor 101 and the new remainder 55,and apply the division lemma to get

101 = 55 x 1 + 46

We consider the new divisor 55 and the new remainder 46,and apply the division lemma to get

55 = 46 x 1 + 9

We consider the new divisor 46 and the new remainder 9,and apply the division lemma to get

46 = 9 x 5 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 358 and 973 is 1

Notice that 1 = HCF(9,1) = HCF(46,9) = HCF(55,46) = HCF(101,55) = HCF(257,101) = HCF(358,257) = HCF(973,358) .

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

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

147 = 1 x 147 + 0

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

Notice that 1 = HCF(147,1) .

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Frequently Asked Questions on HCF of 358, 973, 147 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 358, 973, 147?

Answer: HCF of 358, 973, 147 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 358, 973, 147 using Euclid's Algorithm?

Answer: For arbitrary numbers 358, 973, 147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.