Highest Common Factor of 455, 7098, 3727 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 455, 7098, 3727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 455, 7098, 3727 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 455, 7098, 3727 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 455, 7098, 3727 is 1.

HCF(455, 7098, 3727) = 1

HCF of 455, 7098, 3727 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 455, 7098, 3727 is 1.

Highest Common Factor of 455,7098,3727 using Euclid's algorithm

Highest Common Factor of 455,7098,3727 is 1

Step 1: Since 7098 > 455, we apply the division lemma to 7098 and 455, to get

7098 = 455 x 15 + 273

Step 2: Since the reminder 455 ≠ 0, we apply division lemma to 273 and 455, to get

455 = 273 x 1 + 182

Step 3: We consider the new divisor 273 and the new remainder 182, and apply the division lemma to get

273 = 182 x 1 + 91

We consider the new divisor 182 and the new remainder 91, and apply the division lemma to get

182 = 91 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 91, the HCF of 455 and 7098 is 91

Notice that 91 = HCF(182,91) = HCF(273,182) = HCF(455,273) = HCF(7098,455) .

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

Step 1: Since 3727 > 91, we apply the division lemma to 3727 and 91, to get

3727 = 91 x 40 + 87

Step 2: Since the reminder 91 ≠ 0, we apply division lemma to 87 and 91, to get

91 = 87 x 1 + 4

Step 3: We consider the new divisor 87 and the new remainder 4, and apply the division lemma to get

87 = 4 x 21 + 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 91 and 3727 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(87,4) = HCF(91,87) = HCF(3727,91) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 455, 7098, 3727 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 455, 7098, 3727?

Answer: HCF of 455, 7098, 3727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 455, 7098, 3727 using Euclid's Algorithm?

Answer: For arbitrary numbers 455, 7098, 3727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.