Highest Common Factor of 4501, 8277, 57523 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 4501, 8277, 57523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4501, 8277, 57523 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 4501, 8277, 57523 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 4501, 8277, 57523 is 1.

HCF(4501, 8277, 57523) = 1

HCF of 4501, 8277, 57523 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 4501, 8277, 57523 is 1.

Highest Common Factor of 4501,8277,57523 using Euclid's algorithm

Highest Common Factor of 4501,8277,57523 is 1

Step 1: Since 8277 > 4501, we apply the division lemma to 8277 and 4501, to get

8277 = 4501 x 1 + 3776

Step 2: Since the reminder 4501 ≠ 0, we apply division lemma to 3776 and 4501, to get

4501 = 3776 x 1 + 725

Step 3: We consider the new divisor 3776 and the new remainder 725, and apply the division lemma to get

3776 = 725 x 5 + 151

We consider the new divisor 725 and the new remainder 151,and apply the division lemma to get

725 = 151 x 4 + 121

We consider the new divisor 151 and the new remainder 121,and apply the division lemma to get

151 = 121 x 1 + 30

We consider the new divisor 121 and the new remainder 30,and apply the division lemma to get

121 = 30 x 4 + 1

We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4501 and 8277 is 1

Notice that 1 = HCF(30,1) = HCF(121,30) = HCF(151,121) = HCF(725,151) = HCF(3776,725) = HCF(4501,3776) = HCF(8277,4501) .

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

Step 1: Since 57523 > 1, we apply the division lemma to 57523 and 1, to get

57523 = 1 x 57523 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57523 is 1

Notice that 1 = HCF(57523,1) .

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Frequently Asked Questions on HCF of 4501, 8277, 57523 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 4501, 8277, 57523?

Answer: HCF of 4501, 8277, 57523 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4501, 8277, 57523 using Euclid's Algorithm?

Answer: For arbitrary numbers 4501, 8277, 57523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.