Highest Common Factor of 5471, 7666, 92625 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 5471, 7666, 92625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5471, 7666, 92625 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 5471, 7666, 92625 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 5471, 7666, 92625 is 1.

HCF(5471, 7666, 92625) = 1

HCF of 5471, 7666, 92625 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 5471, 7666, 92625 is 1.

Highest Common Factor of 5471,7666,92625 using Euclid's algorithm

Highest Common Factor of 5471,7666,92625 is 1

Step 1: Since 7666 > 5471, we apply the division lemma to 7666 and 5471, to get

7666 = 5471 x 1 + 2195

Step 2: Since the reminder 5471 ≠ 0, we apply division lemma to 2195 and 5471, to get

5471 = 2195 x 2 + 1081

Step 3: We consider the new divisor 2195 and the new remainder 1081, and apply the division lemma to get

2195 = 1081 x 2 + 33

We consider the new divisor 1081 and the new remainder 33,and apply the division lemma to get

1081 = 33 x 32 + 25

We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get

33 = 25 x 1 + 8

We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get

25 = 8 x 3 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5471 and 7666 is 1

Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(1081,33) = HCF(2195,1081) = HCF(5471,2195) = HCF(7666,5471) .

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

Step 1: Since 92625 > 1, we apply the division lemma to 92625 and 1, to get

92625 = 1 x 92625 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92625 is 1

Notice that 1 = HCF(92625,1) .

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Frequently Asked Questions on HCF of 5471, 7666, 92625 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 5471, 7666, 92625?

Answer: HCF of 5471, 7666, 92625 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5471, 7666, 92625 using Euclid's Algorithm?

Answer: For arbitrary numbers 5471, 7666, 92625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.