Highest Common Factor of 6261, 1753 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 6261, 1753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6261, 1753 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 6261, 1753 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 6261, 1753 is 1.

HCF(6261, 1753) = 1

HCF of 6261, 1753 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 6261, 1753 is 1.

Highest Common Factor of 6261,1753 using Euclid's algorithm

Highest Common Factor of 6261,1753 is 1

Step 1: Since 6261 > 1753, we apply the division lemma to 6261 and 1753, to get

6261 = 1753 x 3 + 1002

Step 2: Since the reminder 1753 ≠ 0, we apply division lemma to 1002 and 1753, to get

1753 = 1002 x 1 + 751

Step 3: We consider the new divisor 1002 and the new remainder 751, and apply the division lemma to get

1002 = 751 x 1 + 251

We consider the new divisor 751 and the new remainder 251,and apply the division lemma to get

751 = 251 x 2 + 249

We consider the new divisor 251 and the new remainder 249,and apply the division lemma to get

251 = 249 x 1 + 2

We consider the new divisor 249 and the new remainder 2,and apply the division lemma to get

249 = 2 x 124 + 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 6261 and 1753 is 1

Notice that 1 = HCF(2,1) = HCF(249,2) = HCF(251,249) = HCF(751,251) = HCF(1002,751) = HCF(1753,1002) = HCF(6261,1753) .

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Frequently Asked Questions on HCF of 6261, 1753 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 6261, 1753?

Answer: HCF of 6261, 1753 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6261, 1753 using Euclid's Algorithm?

Answer: For arbitrary numbers 6261, 1753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.