Highest Common Factor of 7255, 1559 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 7255, 1559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7255, 1559 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 7255, 1559 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 7255, 1559 is 1.

HCF(7255, 1559) = 1

HCF of 7255, 1559 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 7255, 1559 is 1.

Highest Common Factor of 7255,1559 using Euclid's algorithm

Highest Common Factor of 7255,1559 is 1

Step 1: Since 7255 > 1559, we apply the division lemma to 7255 and 1559, to get

7255 = 1559 x 4 + 1019

Step 2: Since the reminder 1559 ≠ 0, we apply division lemma to 1019 and 1559, to get

1559 = 1019 x 1 + 540

Step 3: We consider the new divisor 1019 and the new remainder 540, and apply the division lemma to get

1019 = 540 x 1 + 479

We consider the new divisor 540 and the new remainder 479,and apply the division lemma to get

540 = 479 x 1 + 61

We consider the new divisor 479 and the new remainder 61,and apply the division lemma to get

479 = 61 x 7 + 52

We consider the new divisor 61 and the new remainder 52,and apply the division lemma to get

61 = 52 x 1 + 9

We consider the new divisor 52 and the new remainder 9,and apply the division lemma to get

52 = 9 x 5 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 7255 and 1559 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(52,9) = HCF(61,52) = HCF(479,61) = HCF(540,479) = HCF(1019,540) = HCF(1559,1019) = HCF(7255,1559) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7255, 1559 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 7255, 1559?

Answer: HCF of 7255, 1559 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7255, 1559 using Euclid's Algorithm?

Answer: For arbitrary numbers 7255, 1559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.