Highest Common Factor of 7243, 5305, 35816 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 7243, 5305, 35816 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7243, 5305, 35816 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 7243, 5305, 35816 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 7243, 5305, 35816 is 1.

HCF(7243, 5305, 35816) = 1

HCF of 7243, 5305, 35816 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 7243, 5305, 35816 is 1.

Highest Common Factor of 7243,5305,35816 using Euclid's algorithm

Highest Common Factor of 7243,5305,35816 is 1

Step 1: Since 7243 > 5305, we apply the division lemma to 7243 and 5305, to get

7243 = 5305 x 1 + 1938

Step 2: Since the reminder 5305 ≠ 0, we apply division lemma to 1938 and 5305, to get

5305 = 1938 x 2 + 1429

Step 3: We consider the new divisor 1938 and the new remainder 1429, and apply the division lemma to get

1938 = 1429 x 1 + 509

We consider the new divisor 1429 and the new remainder 509,and apply the division lemma to get

1429 = 509 x 2 + 411

We consider the new divisor 509 and the new remainder 411,and apply the division lemma to get

509 = 411 x 1 + 98

We consider the new divisor 411 and the new remainder 98,and apply the division lemma to get

411 = 98 x 4 + 19

We consider the new divisor 98 and the new remainder 19,and apply the division lemma to get

98 = 19 x 5 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7243 and 5305 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(98,19) = HCF(411,98) = HCF(509,411) = HCF(1429,509) = HCF(1938,1429) = HCF(5305,1938) = HCF(7243,5305) .

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

Step 1: Since 35816 > 1, we apply the division lemma to 35816 and 1, to get

35816 = 1 x 35816 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35816 is 1

Notice that 1 = HCF(35816,1) .

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Frequently Asked Questions on HCF of 7243, 5305, 35816 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 7243, 5305, 35816?

Answer: HCF of 7243, 5305, 35816 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7243, 5305, 35816 using Euclid's Algorithm?

Answer: For arbitrary numbers 7243, 5305, 35816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.