Highest Common Factor of 454, 175, 535 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 454, 175, 535 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 454, 175, 535 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 454, 175, 535 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 454, 175, 535 is 1.

HCF(454, 175, 535) = 1

HCF of 454, 175, 535 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 454, 175, 535 is 1.

Highest Common Factor of 454,175,535 using Euclid's algorithm

Highest Common Factor of 454,175,535 is 1

Step 1: Since 454 > 175, we apply the division lemma to 454 and 175, to get

454 = 175 x 2 + 104

Step 2: Since the reminder 175 ≠ 0, we apply division lemma to 104 and 175, to get

175 = 104 x 1 + 71

Step 3: We consider the new divisor 104 and the new remainder 71, and apply the division lemma to get

104 = 71 x 1 + 33

We consider the new divisor 71 and the new remainder 33,and apply the division lemma to get

71 = 33 x 2 + 5

We consider the new divisor 33 and the new remainder 5,and apply the division lemma to get

33 = 5 x 6 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 454 and 175 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) = HCF(71,33) = HCF(104,71) = HCF(175,104) = HCF(454,175) .

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

Step 1: Since 535 > 1, we apply the division lemma to 535 and 1, to get

535 = 1 x 535 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 535 is 1

Notice that 1 = HCF(535,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 454, 175, 535 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 454, 175, 535?

Answer: HCF of 454, 175, 535 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 454, 175, 535 using Euclid's Algorithm?

Answer: For arbitrary numbers 454, 175, 535 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.