Highest Common Factor of 761, 6613, 2988 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 761, 6613, 2988 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 761, 6613, 2988 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 761, 6613, 2988 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 761, 6613, 2988 is 1.

HCF(761, 6613, 2988) = 1

HCF of 761, 6613, 2988 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 761, 6613, 2988 is 1.

Highest Common Factor of 761,6613,2988 using Euclid's algorithm

Highest Common Factor of 761,6613,2988 is 1

Step 1: Since 6613 > 761, we apply the division lemma to 6613 and 761, to get

6613 = 761 x 8 + 525

Step 2: Since the reminder 761 ≠ 0, we apply division lemma to 525 and 761, to get

761 = 525 x 1 + 236

Step 3: We consider the new divisor 525 and the new remainder 236, and apply the division lemma to get

525 = 236 x 2 + 53

We consider the new divisor 236 and the new remainder 53,and apply the division lemma to get

236 = 53 x 4 + 24

We consider the new divisor 53 and the new remainder 24,and apply the division lemma to get

53 = 24 x 2 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 761 and 6613 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(53,24) = HCF(236,53) = HCF(525,236) = HCF(761,525) = HCF(6613,761) .

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

Step 1: Since 2988 > 1, we apply the division lemma to 2988 and 1, to get

2988 = 1 x 2988 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2988 is 1

Notice that 1 = HCF(2988,1) .

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Frequently Asked Questions on HCF of 761, 6613, 2988 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 761, 6613, 2988?

Answer: HCF of 761, 6613, 2988 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 761, 6613, 2988 using Euclid's Algorithm?

Answer: For arbitrary numbers 761, 6613, 2988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.