Highest Common Factor of 280, 798, 436 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 280, 798, 436 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 280, 798, 436 is 2 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 280, 798, 436 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 280, 798, 436 is 2.

HCF(280, 798, 436) = 2

HCF of 280, 798, 436 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 280, 798, 436 is 2.

Highest Common Factor of 280,798,436 using Euclid's algorithm

Highest Common Factor of 280,798,436 is 2

Step 1: Since 798 > 280, we apply the division lemma to 798 and 280, to get

798 = 280 x 2 + 238

Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 238 and 280, to get

280 = 238 x 1 + 42

Step 3: We consider the new divisor 238 and the new remainder 42, and apply the division lemma to get

238 = 42 x 5 + 28

We consider the new divisor 42 and the new remainder 28,and apply the division lemma to get

42 = 28 x 1 + 14

We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get

28 = 14 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 280 and 798 is 14

Notice that 14 = HCF(28,14) = HCF(42,28) = HCF(238,42) = HCF(280,238) = HCF(798,280) .

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

Step 1: Since 436 > 14, we apply the division lemma to 436 and 14, to get

436 = 14 x 31 + 2

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 2 and 14, to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 14 and 436 is 2

Notice that 2 = HCF(14,2) = HCF(436,14) .

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Frequently Asked Questions on HCF of 280, 798, 436 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 280, 798, 436?

Answer: HCF of 280, 798, 436 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 280, 798, 436 using Euclid's Algorithm?

Answer: For arbitrary numbers 280, 798, 436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.