Highest Common Factor of 956, 354, 673 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 956, 354, 673 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 956, 354, 673 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 956, 354, 673 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 956, 354, 673 is 1.

HCF(956, 354, 673) = 1

HCF of 956, 354, 673 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 956, 354, 673 is 1.

Highest Common Factor of 956,354,673 using Euclid's algorithm

Highest Common Factor of 956,354,673 is 1

Step 1: Since 956 > 354, we apply the division lemma to 956 and 354, to get

956 = 354 x 2 + 248

Step 2: Since the reminder 354 ≠ 0, we apply division lemma to 248 and 354, to get

354 = 248 x 1 + 106

Step 3: We consider the new divisor 248 and the new remainder 106, and apply the division lemma to get

248 = 106 x 2 + 36

We consider the new divisor 106 and the new remainder 36,and apply the division lemma to get

106 = 36 x 2 + 34

We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get

36 = 34 x 1 + 2

We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get

34 = 2 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 956 and 354 is 2

Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(106,36) = HCF(248,106) = HCF(354,248) = HCF(956,354) .

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

Step 1: Since 673 > 2, we apply the division lemma to 673 and 2, to get

673 = 2 x 336 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 673 is 1

Notice that 1 = HCF(2,1) = HCF(673,2) .

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Frequently Asked Questions on HCF of 956, 354, 673 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 956, 354, 673?

Answer: HCF of 956, 354, 673 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 956, 354, 673 using Euclid's Algorithm?

Answer: For arbitrary numbers 956, 354, 673 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.