Highest Common Factor of 973, 639, 955 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 973, 639, 955 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 973, 639, 955 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 973, 639, 955 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 973, 639, 955 is 1.

HCF(973, 639, 955) = 1

HCF of 973, 639, 955 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 973, 639, 955 is 1.

Highest Common Factor of 973,639,955 using Euclid's algorithm

Highest Common Factor of 973,639,955 is 1

Step 1: Since 973 > 639, we apply the division lemma to 973 and 639, to get

973 = 639 x 1 + 334

Step 2: Since the reminder 639 ≠ 0, we apply division lemma to 334 and 639, to get

639 = 334 x 1 + 305

Step 3: We consider the new divisor 334 and the new remainder 305, and apply the division lemma to get

334 = 305 x 1 + 29

We consider the new divisor 305 and the new remainder 29,and apply the division lemma to get

305 = 29 x 10 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 973 and 639 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(305,29) = HCF(334,305) = HCF(639,334) = HCF(973,639) .

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

Step 1: Since 955 > 1, we apply the division lemma to 955 and 1, to get

955 = 1 x 955 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 955 is 1

Notice that 1 = HCF(955,1) .

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Frequently Asked Questions on HCF of 973, 639, 955 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 973, 639, 955?

Answer: HCF of 973, 639, 955 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 973, 639, 955 using Euclid's Algorithm?

Answer: For arbitrary numbers 973, 639, 955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.