Highest Common Factor of 379, 3555 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 379, 3555 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 379, 3555 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 379, 3555 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 379, 3555 is 1.

HCF(379, 3555) = 1

HCF of 379, 3555 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 379, 3555 is 1.

Highest Common Factor of 379,3555 using Euclid's algorithm

Highest Common Factor of 379,3555 is 1

Step 1: Since 3555 > 379, we apply the division lemma to 3555 and 379, to get

3555 = 379 x 9 + 144

Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 144 and 379, to get

379 = 144 x 2 + 91

Step 3: We consider the new divisor 144 and the new remainder 91, and apply the division lemma to get

144 = 91 x 1 + 53

We consider the new divisor 91 and the new remainder 53,and apply the division lemma to get

91 = 53 x 1 + 38

We consider the new divisor 53 and the new remainder 38,and apply the division lemma to get

53 = 38 x 1 + 15

We consider the new divisor 38 and the new remainder 15,and apply the division lemma to get

38 = 15 x 2 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 379 and 3555 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(38,15) = HCF(53,38) = HCF(91,53) = HCF(144,91) = HCF(379,144) = HCF(3555,379) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 379, 3555 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 379, 3555?

Answer: HCF of 379, 3555 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 379, 3555 using Euclid's Algorithm?

Answer: For arbitrary numbers 379, 3555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.