Highest Common Factor of 7529, 4459, 53894 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 7529, 4459, 53894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7529, 4459, 53894 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 7529, 4459, 53894 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 7529, 4459, 53894 is 1.

HCF(7529, 4459, 53894) = 1

HCF of 7529, 4459, 53894 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 7529, 4459, 53894 is 1.

Highest Common Factor of 7529,4459,53894 using Euclid's algorithm

Highest Common Factor of 7529,4459,53894 is 1

Step 1: Since 7529 > 4459, we apply the division lemma to 7529 and 4459, to get

7529 = 4459 x 1 + 3070

Step 2: Since the reminder 4459 ≠ 0, we apply division lemma to 3070 and 4459, to get

4459 = 3070 x 1 + 1389

Step 3: We consider the new divisor 3070 and the new remainder 1389, and apply the division lemma to get

3070 = 1389 x 2 + 292

We consider the new divisor 1389 and the new remainder 292,and apply the division lemma to get

1389 = 292 x 4 + 221

We consider the new divisor 292 and the new remainder 221,and apply the division lemma to get

292 = 221 x 1 + 71

We consider the new divisor 221 and the new remainder 71,and apply the division lemma to get

221 = 71 x 3 + 8

We consider the new divisor 71 and the new remainder 8,and apply the division lemma to get

71 = 8 x 8 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7529 and 4459 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(71,8) = HCF(221,71) = HCF(292,221) = HCF(1389,292) = HCF(3070,1389) = HCF(4459,3070) = HCF(7529,4459) .

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

Step 1: Since 53894 > 1, we apply the division lemma to 53894 and 1, to get

53894 = 1 x 53894 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53894 is 1

Notice that 1 = HCF(53894,1) .

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Frequently Asked Questions on HCF of 7529, 4459, 53894 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 7529, 4459, 53894?

Answer: HCF of 7529, 4459, 53894 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7529, 4459, 53894 using Euclid's Algorithm?

Answer: For arbitrary numbers 7529, 4459, 53894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.