Highest Common Factor of 4294, 1525 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 4294, 1525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4294, 1525 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 4294, 1525 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 4294, 1525 is 1.

HCF(4294, 1525) = 1

HCF of 4294, 1525 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 4294, 1525 is 1.

Highest Common Factor of 4294,1525 using Euclid's algorithm

Highest Common Factor of 4294,1525 is 1

Step 1: Since 4294 > 1525, we apply the division lemma to 4294 and 1525, to get

4294 = 1525 x 2 + 1244

Step 2: Since the reminder 1525 ≠ 0, we apply division lemma to 1244 and 1525, to get

1525 = 1244 x 1 + 281

Step 3: We consider the new divisor 1244 and the new remainder 281, and apply the division lemma to get

1244 = 281 x 4 + 120

We consider the new divisor 281 and the new remainder 120,and apply the division lemma to get

281 = 120 x 2 + 41

We consider the new divisor 120 and the new remainder 41,and apply the division lemma to get

120 = 41 x 2 + 38

We consider the new divisor 41 and the new remainder 38,and apply the division lemma to get

41 = 38 x 1 + 3

We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get

38 = 3 x 12 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4294 and 1525 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(41,38) = HCF(120,41) = HCF(281,120) = HCF(1244,281) = HCF(1525,1244) = HCF(4294,1525) .

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Frequently Asked Questions on HCF of 4294, 1525 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 4294, 1525?

Answer: HCF of 4294, 1525 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4294, 1525 using Euclid's Algorithm?

Answer: For arbitrary numbers 4294, 1525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.