Highest Common Factor of 7259, 2705 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 7259, 2705 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7259, 2705 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 7259, 2705 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 7259, 2705 is 1.

HCF(7259, 2705) = 1

HCF of 7259, 2705 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 7259, 2705 is 1.

Highest Common Factor of 7259,2705 using Euclid's algorithm

Highest Common Factor of 7259,2705 is 1

Step 1: Since 7259 > 2705, we apply the division lemma to 7259 and 2705, to get

7259 = 2705 x 2 + 1849

Step 2: Since the reminder 2705 ≠ 0, we apply division lemma to 1849 and 2705, to get

2705 = 1849 x 1 + 856

Step 3: We consider the new divisor 1849 and the new remainder 856, and apply the division lemma to get

1849 = 856 x 2 + 137

We consider the new divisor 856 and the new remainder 137,and apply the division lemma to get

856 = 137 x 6 + 34

We consider the new divisor 137 and the new remainder 34,and apply the division lemma to get

137 = 34 x 4 + 1

We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get

34 = 1 x 34 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7259 and 2705 is 1

Notice that 1 = HCF(34,1) = HCF(137,34) = HCF(856,137) = HCF(1849,856) = HCF(2705,1849) = HCF(7259,2705) .

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Frequently Asked Questions on HCF of 7259, 2705 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 7259, 2705?

Answer: HCF of 7259, 2705 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7259, 2705 using Euclid's Algorithm?

Answer: For arbitrary numbers 7259, 2705 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.