Highest Common Factor of 7425, 7646, 44025 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 7425, 7646, 44025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7425, 7646, 44025 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 7425, 7646, 44025 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 7425, 7646, 44025 is 1.

HCF(7425, 7646, 44025) = 1

HCF of 7425, 7646, 44025 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 7425, 7646, 44025 is 1.

Highest Common Factor of 7425,7646,44025 using Euclid's algorithm

Highest Common Factor of 7425,7646,44025 is 1

Step 1: Since 7646 > 7425, we apply the division lemma to 7646 and 7425, to get

7646 = 7425 x 1 + 221

Step 2: Since the reminder 7425 ≠ 0, we apply division lemma to 221 and 7425, to get

7425 = 221 x 33 + 132

Step 3: We consider the new divisor 221 and the new remainder 132, and apply the division lemma to get

221 = 132 x 1 + 89

We consider the new divisor 132 and the new remainder 89,and apply the division lemma to get

132 = 89 x 1 + 43

We consider the new divisor 89 and the new remainder 43,and apply the division lemma to get

89 = 43 x 2 + 3

We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get

43 = 3 x 14 + 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 7425 and 7646 is 1

Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(89,43) = HCF(132,89) = HCF(221,132) = HCF(7425,221) = HCF(7646,7425) .

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

Step 1: Since 44025 > 1, we apply the division lemma to 44025 and 1, to get

44025 = 1 x 44025 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44025 is 1

Notice that 1 = HCF(44025,1) .

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Frequently Asked Questions on HCF of 7425, 7646, 44025 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 7425, 7646, 44025?

Answer: HCF of 7425, 7646, 44025 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7425, 7646, 44025 using Euclid's Algorithm?

Answer: For arbitrary numbers 7425, 7646, 44025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.