Highest Common Factor of 280, 6567, 4212 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, 6567, 4212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 280, 6567, 4212 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 280, 6567, 4212 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, 6567, 4212 is 1.

HCF(280, 6567, 4212) = 1

HCF of 280, 6567, 4212 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, 6567, 4212 is 1.

Highest Common Factor of 280,6567,4212 using Euclid's algorithm

Highest Common Factor of 280,6567,4212 is 1

Step 1: Since 6567 > 280, we apply the division lemma to 6567 and 280, to get

6567 = 280 x 23 + 127

Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 127 and 280, to get

280 = 127 x 2 + 26

Step 3: We consider the new divisor 127 and the new remainder 26, and apply the division lemma to get

127 = 26 x 4 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 280 and 6567 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(127,26) = HCF(280,127) = HCF(6567,280) .

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

Step 1: Since 4212 > 1, we apply the division lemma to 4212 and 1, to get

4212 = 1 x 4212 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4212 is 1

Notice that 1 = HCF(4212,1) .

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Frequently Asked Questions on HCF of 280, 6567, 4212 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, 6567, 4212?

Answer: HCF of 280, 6567, 4212 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 280, 6567, 4212 using Euclid's Algorithm?

Answer: For arbitrary numbers 280, 6567, 4212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.