Highest Common Factor of 815, 3769, 5672 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 815, 3769, 5672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 815, 3769, 5672 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 815, 3769, 5672 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 815, 3769, 5672 is 1.

HCF(815, 3769, 5672) = 1

HCF of 815, 3769, 5672 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 815, 3769, 5672 is 1.

Highest Common Factor of 815,3769,5672 using Euclid's algorithm

Highest Common Factor of 815,3769,5672 is 1

Step 1: Since 3769 > 815, we apply the division lemma to 3769 and 815, to get

3769 = 815 x 4 + 509

Step 2: Since the reminder 815 ≠ 0, we apply division lemma to 509 and 815, to get

815 = 509 x 1 + 306

Step 3: We consider the new divisor 509 and the new remainder 306, and apply the division lemma to get

509 = 306 x 1 + 203

We consider the new divisor 306 and the new remainder 203,and apply the division lemma to get

306 = 203 x 1 + 103

We consider the new divisor 203 and the new remainder 103,and apply the division lemma to get

203 = 103 x 1 + 100

We consider the new divisor 103 and the new remainder 100,and apply the division lemma to get

103 = 100 x 1 + 3

We consider the new divisor 100 and the new remainder 3,and apply the division lemma to get

100 = 3 x 33 + 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 815 and 3769 is 1

Notice that 1 = HCF(3,1) = HCF(100,3) = HCF(103,100) = HCF(203,103) = HCF(306,203) = HCF(509,306) = HCF(815,509) = HCF(3769,815) .

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

Step 1: Since 5672 > 1, we apply the division lemma to 5672 and 1, to get

5672 = 1 x 5672 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5672 is 1

Notice that 1 = HCF(5672,1) .

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Frequently Asked Questions on HCF of 815, 3769, 5672 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 815, 3769, 5672?

Answer: HCF of 815, 3769, 5672 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 815, 3769, 5672 using Euclid's Algorithm?

Answer: For arbitrary numbers 815, 3769, 5672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.