Highest Common Factor of 6835, 4136, 39548 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 6835, 4136, 39548 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6835, 4136, 39548 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 6835, 4136, 39548 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 6835, 4136, 39548 is 1.

HCF(6835, 4136, 39548) = 1

HCF of 6835, 4136, 39548 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 6835, 4136, 39548 is 1.

Highest Common Factor of 6835,4136,39548 using Euclid's algorithm

Highest Common Factor of 6835,4136,39548 is 1

Step 1: Since 6835 > 4136, we apply the division lemma to 6835 and 4136, to get

6835 = 4136 x 1 + 2699

Step 2: Since the reminder 4136 ≠ 0, we apply division lemma to 2699 and 4136, to get

4136 = 2699 x 1 + 1437

Step 3: We consider the new divisor 2699 and the new remainder 1437, and apply the division lemma to get

2699 = 1437 x 1 + 1262

We consider the new divisor 1437 and the new remainder 1262,and apply the division lemma to get

1437 = 1262 x 1 + 175

We consider the new divisor 1262 and the new remainder 175,and apply the division lemma to get

1262 = 175 x 7 + 37

We consider the new divisor 175 and the new remainder 37,and apply the division lemma to get

175 = 37 x 4 + 27

We consider the new divisor 37 and the new remainder 27,and apply the division lemma to get

37 = 27 x 1 + 10

We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get

27 = 10 x 2 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 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 6835 and 4136 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(37,27) = HCF(175,37) = HCF(1262,175) = HCF(1437,1262) = HCF(2699,1437) = HCF(4136,2699) = HCF(6835,4136) .

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

Step 1: Since 39548 > 1, we apply the division lemma to 39548 and 1, to get

39548 = 1 x 39548 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39548 is 1

Notice that 1 = HCF(39548,1) .

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Frequently Asked Questions on HCF of 6835, 4136, 39548 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 6835, 4136, 39548?

Answer: HCF of 6835, 4136, 39548 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6835, 4136, 39548 using Euclid's Algorithm?

Answer: For arbitrary numbers 6835, 4136, 39548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.