Highest Common Factor of 467, 177, 436, 525 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, 177, 436, 525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 467, 177, 436, 525 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, 177, 436, 525 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, 177, 436, 525 is 1.

HCF(467, 177, 436, 525) = 1

HCF of 467, 177, 436, 525 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, 177, 436, 525 is 1.

Highest Common Factor of 467,177,436,525 using Euclid's algorithm

Highest Common Factor of 467,177,436,525 is 1

Step 1: Since 467 > 177, we apply the division lemma to 467 and 177, to get

467 = 177 x 2 + 113

Step 2: Since the reminder 177 ≠ 0, we apply division lemma to 113 and 177, to get

177 = 113 x 1 + 64

Step 3: We consider the new divisor 113 and the new remainder 64, and apply the division lemma to get

113 = 64 x 1 + 49

We consider the new divisor 64 and the new remainder 49,and apply the division lemma to get

64 = 49 x 1 + 15

We consider the new divisor 49 and the new remainder 15,and apply the division lemma to get

49 = 15 x 3 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 467 and 177 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(49,15) = HCF(64,49) = HCF(113,64) = HCF(177,113) = HCF(467,177) .

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

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

436 = 1 x 436 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 436 is 1

Notice that 1 = HCF(436,1) .

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

Step 1: Since 525 > 1, we apply the division lemma to 525 and 1, to get

525 = 1 x 525 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 525 is 1

Notice that 1 = HCF(525,1) .

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, 177, 436, 525 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, 177, 436, 525?

Answer: HCF of 467, 177, 436, 525 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 467, 177, 436, 525 using Euclid's Algorithm?

Answer: For arbitrary numbers 467, 177, 436, 525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.