Highest Common Factor of 6095, 7704 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 6095, 7704 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6095, 7704 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 6095, 7704 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 6095, 7704 is 1.

HCF(6095, 7704) = 1

HCF of 6095, 7704 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 6095, 7704 is 1.

Highest Common Factor of 6095,7704 using Euclid's algorithm

Highest Common Factor of 6095,7704 is 1

Step 1: Since 7704 > 6095, we apply the division lemma to 7704 and 6095, to get

7704 = 6095 x 1 + 1609

Step 2: Since the reminder 6095 ≠ 0, we apply division lemma to 1609 and 6095, to get

6095 = 1609 x 3 + 1268

Step 3: We consider the new divisor 1609 and the new remainder 1268, and apply the division lemma to get

1609 = 1268 x 1 + 341

We consider the new divisor 1268 and the new remainder 341,and apply the division lemma to get

1268 = 341 x 3 + 245

We consider the new divisor 341 and the new remainder 245,and apply the division lemma to get

341 = 245 x 1 + 96

We consider the new divisor 245 and the new remainder 96,and apply the division lemma to get

245 = 96 x 2 + 53

We consider the new divisor 96 and the new remainder 53,and apply the division lemma to get

96 = 53 x 1 + 43

We consider the new divisor 53 and the new remainder 43,and apply the division lemma to get

53 = 43 x 1 + 10

We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get

43 = 10 x 4 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 6095 and 7704 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(53,43) = HCF(96,53) = HCF(245,96) = HCF(341,245) = HCF(1268,341) = HCF(1609,1268) = HCF(6095,1609) = HCF(7704,6095) .

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Frequently Asked Questions on HCF of 6095, 7704 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 6095, 7704?

Answer: HCF of 6095, 7704 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6095, 7704 using Euclid's Algorithm?

Answer: For arbitrary numbers 6095, 7704 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.