Highest Common Factor of 7735, 6142, 36199 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 7735, 6142, 36199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7735, 6142, 36199 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 7735, 6142, 36199 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 7735, 6142, 36199 is 1.

HCF(7735, 6142, 36199) = 1

HCF of 7735, 6142, 36199 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 7735, 6142, 36199 is 1.

Highest Common Factor of 7735,6142,36199 using Euclid's algorithm

Highest Common Factor of 7735,6142,36199 is 1

Step 1: Since 7735 > 6142, we apply the division lemma to 7735 and 6142, to get

7735 = 6142 x 1 + 1593

Step 2: Since the reminder 6142 ≠ 0, we apply division lemma to 1593 and 6142, to get

6142 = 1593 x 3 + 1363

Step 3: We consider the new divisor 1593 and the new remainder 1363, and apply the division lemma to get

1593 = 1363 x 1 + 230

We consider the new divisor 1363 and the new remainder 230,and apply the division lemma to get

1363 = 230 x 5 + 213

We consider the new divisor 230 and the new remainder 213,and apply the division lemma to get

230 = 213 x 1 + 17

We consider the new divisor 213 and the new remainder 17,and apply the division lemma to get

213 = 17 x 12 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7735 and 6142 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(213,17) = HCF(230,213) = HCF(1363,230) = HCF(1593,1363) = HCF(6142,1593) = HCF(7735,6142) .

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

Step 1: Since 36199 > 1, we apply the division lemma to 36199 and 1, to get

36199 = 1 x 36199 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36199 is 1

Notice that 1 = HCF(36199,1) .

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Frequently Asked Questions on HCF of 7735, 6142, 36199 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 7735, 6142, 36199?

Answer: HCF of 7735, 6142, 36199 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7735, 6142, 36199 using Euclid's Algorithm?

Answer: For arbitrary numbers 7735, 6142, 36199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.