Highest Common Factor of 1561, 2375, 44585 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 1561, 2375, 44585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1561, 2375, 44585 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 1561, 2375, 44585 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 1561, 2375, 44585 is 1.

HCF(1561, 2375, 44585) = 1

HCF of 1561, 2375, 44585 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 1561, 2375, 44585 is 1.

Highest Common Factor of 1561,2375,44585 using Euclid's algorithm

Highest Common Factor of 1561,2375,44585 is 1

Step 1: Since 2375 > 1561, we apply the division lemma to 2375 and 1561, to get

2375 = 1561 x 1 + 814

Step 2: Since the reminder 1561 ≠ 0, we apply division lemma to 814 and 1561, to get

1561 = 814 x 1 + 747

Step 3: We consider the new divisor 814 and the new remainder 747, and apply the division lemma to get

814 = 747 x 1 + 67

We consider the new divisor 747 and the new remainder 67,and apply the division lemma to get

747 = 67 x 11 + 10

We consider the new divisor 67 and the new remainder 10,and apply the division lemma to get

67 = 10 x 6 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 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 1561 and 2375 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(67,10) = HCF(747,67) = HCF(814,747) = HCF(1561,814) = HCF(2375,1561) .

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

Step 1: Since 44585 > 1, we apply the division lemma to 44585 and 1, to get

44585 = 1 x 44585 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44585 is 1

Notice that 1 = HCF(44585,1) .

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Frequently Asked Questions on HCF of 1561, 2375, 44585 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 1561, 2375, 44585?

Answer: HCF of 1561, 2375, 44585 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1561, 2375, 44585 using Euclid's Algorithm?

Answer: For arbitrary numbers 1561, 2375, 44585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.