Highest Common Factor of 7611, 3104 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 7611, 3104 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7611, 3104 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 7611, 3104 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 7611, 3104 is 1.

HCF(7611, 3104) = 1

HCF of 7611, 3104 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 7611, 3104 is 1.

Highest Common Factor of 7611,3104 using Euclid's algorithm

Highest Common Factor of 7611,3104 is 1

Step 1: Since 7611 > 3104, we apply the division lemma to 7611 and 3104, to get

7611 = 3104 x 2 + 1403

Step 2: Since the reminder 3104 ≠ 0, we apply division lemma to 1403 and 3104, to get

3104 = 1403 x 2 + 298

Step 3: We consider the new divisor 1403 and the new remainder 298, and apply the division lemma to get

1403 = 298 x 4 + 211

We consider the new divisor 298 and the new remainder 211,and apply the division lemma to get

298 = 211 x 1 + 87

We consider the new divisor 211 and the new remainder 87,and apply the division lemma to get

211 = 87 x 2 + 37

We consider the new divisor 87 and the new remainder 37,and apply the division lemma to get

87 = 37 x 2 + 13

We consider the new divisor 37 and the new remainder 13,and apply the division lemma to get

37 = 13 x 2 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 7611 and 3104 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(37,13) = HCF(87,37) = HCF(211,87) = HCF(298,211) = HCF(1403,298) = HCF(3104,1403) = HCF(7611,3104) .

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Frequently Asked Questions on HCF of 7611, 3104 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 7611, 3104?

Answer: HCF of 7611, 3104 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7611, 3104 using Euclid's Algorithm?

Answer: For arbitrary numbers 7611, 3104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.