Highest Common Factor of 467, 277 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 467, 277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 467, 277 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 467, 277 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 467, 277 is 1.

HCF(467, 277) = 1

HCF of 467, 277 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 467, 277 is 1.

Highest Common Factor of 467,277 using Euclid's algorithm

Highest Common Factor of 467,277 is 1

Step 1: Since 467 > 277, we apply the division lemma to 467 and 277, to get

467 = 277 x 1 + 190

Step 2: Since the reminder 277 ≠ 0, we apply division lemma to 190 and 277, to get

277 = 190 x 1 + 87

Step 3: We consider the new divisor 190 and the new remainder 87, and apply the division lemma to get

190 = 87 x 2 + 16

We consider the new divisor 87 and the new remainder 16,and apply the division lemma to get

87 = 16 x 5 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 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 467 and 277 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(87,16) = HCF(190,87) = HCF(277,190) = HCF(467,277) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 467, 277 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 467, 277?

Answer: HCF of 467, 277 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 467, 277 using Euclid's Algorithm?

Answer: For arbitrary numbers 467, 277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.