Highest Common Factor of 6037, 6846, 78727 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 6037, 6846, 78727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6037, 6846, 78727 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 6037, 6846, 78727 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 6037, 6846, 78727 is 1.

HCF(6037, 6846, 78727) = 1

HCF of 6037, 6846, 78727 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 6037, 6846, 78727 is 1.

Highest Common Factor of 6037,6846,78727 using Euclid's algorithm

Highest Common Factor of 6037,6846,78727 is 1

Step 1: Since 6846 > 6037, we apply the division lemma to 6846 and 6037, to get

6846 = 6037 x 1 + 809

Step 2: Since the reminder 6037 ≠ 0, we apply division lemma to 809 and 6037, to get

6037 = 809 x 7 + 374

Step 3: We consider the new divisor 809 and the new remainder 374, and apply the division lemma to get

809 = 374 x 2 + 61

We consider the new divisor 374 and the new remainder 61,and apply the division lemma to get

374 = 61 x 6 + 8

We consider the new divisor 61 and the new remainder 8,and apply the division lemma to get

61 = 8 x 7 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6037 and 6846 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(61,8) = HCF(374,61) = HCF(809,374) = HCF(6037,809) = HCF(6846,6037) .

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

Step 1: Since 78727 > 1, we apply the division lemma to 78727 and 1, to get

78727 = 1 x 78727 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78727 is 1

Notice that 1 = HCF(78727,1) .

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Frequently Asked Questions on HCF of 6037, 6846, 78727 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 6037, 6846, 78727?

Answer: HCF of 6037, 6846, 78727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6037, 6846, 78727 using Euclid's Algorithm?

Answer: For arbitrary numbers 6037, 6846, 78727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.