Highest Common Factor of 800, 280, 437 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 800, 280, 437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 800, 280, 437 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 800, 280, 437 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 800, 280, 437 is 1.

HCF(800, 280, 437) = 1

HCF of 800, 280, 437 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 800, 280, 437 is 1.

Highest Common Factor of 800,280,437 using Euclid's algorithm

Highest Common Factor of 800,280,437 is 1

Step 1: Since 800 > 280, we apply the division lemma to 800 and 280, to get

800 = 280 x 2 + 240

Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 240 and 280, to get

280 = 240 x 1 + 40

Step 3: We consider the new divisor 240 and the new remainder 40, and apply the division lemma to get

240 = 40 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 40, the HCF of 800 and 280 is 40

Notice that 40 = HCF(240,40) = HCF(280,240) = HCF(800,280) .

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

Step 1: Since 437 > 40, we apply the division lemma to 437 and 40, to get

437 = 40 x 10 + 37

Step 2: Since the reminder 40 ≠ 0, we apply division lemma to 37 and 40, to get

40 = 37 x 1 + 3

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

37 = 3 x 12 + 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 40 and 437 is 1

Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(40,37) = HCF(437,40) .

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Frequently Asked Questions on HCF of 800, 280, 437 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 800, 280, 437?

Answer: HCF of 800, 280, 437 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 800, 280, 437 using Euclid's Algorithm?

Answer: For arbitrary numbers 800, 280, 437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.