Highest Common Factor of 641, 280, 667 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 641, 280, 667 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 641, 280, 667 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 641, 280, 667 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 641, 280, 667 is 1.

HCF(641, 280, 667) = 1

HCF of 641, 280, 667 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 641, 280, 667 is 1.

Highest Common Factor of 641,280,667 using Euclid's algorithm

Highest Common Factor of 641,280,667 is 1

Step 1: Since 641 > 280, we apply the division lemma to 641 and 280, to get

641 = 280 x 2 + 81

Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 81 and 280, to get

280 = 81 x 3 + 37

Step 3: We consider the new divisor 81 and the new remainder 37, and apply the division lemma to get

81 = 37 x 2 + 7

We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get

37 = 7 x 5 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 641 and 280 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(81,37) = HCF(280,81) = HCF(641,280) .

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

Step 1: Since 667 > 1, we apply the division lemma to 667 and 1, to get

667 = 1 x 667 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 667 is 1

Notice that 1 = HCF(667,1) .

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Frequently Asked Questions on HCF of 641, 280, 667 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 641, 280, 667?

Answer: HCF of 641, 280, 667 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 641, 280, 667 using Euclid's Algorithm?

Answer: For arbitrary numbers 641, 280, 667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.