Highest Common Factor of 7610, 5340, 83349 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 7610, 5340, 83349 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7610, 5340, 83349 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 7610, 5340, 83349 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 7610, 5340, 83349 is 1.

HCF(7610, 5340, 83349) = 1

HCF of 7610, 5340, 83349 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 7610, 5340, 83349 is 1.

Highest Common Factor of 7610,5340,83349 using Euclid's algorithm

Highest Common Factor of 7610,5340,83349 is 1

Step 1: Since 7610 > 5340, we apply the division lemma to 7610 and 5340, to get

7610 = 5340 x 1 + 2270

Step 2: Since the reminder 5340 ≠ 0, we apply division lemma to 2270 and 5340, to get

5340 = 2270 x 2 + 800

Step 3: We consider the new divisor 2270 and the new remainder 800, and apply the division lemma to get

2270 = 800 x 2 + 670

We consider the new divisor 800 and the new remainder 670,and apply the division lemma to get

800 = 670 x 1 + 130

We consider the new divisor 670 and the new remainder 130,and apply the division lemma to get

670 = 130 x 5 + 20

We consider the new divisor 130 and the new remainder 20,and apply the division lemma to get

130 = 20 x 6 + 10

We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get

20 = 10 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 7610 and 5340 is 10

Notice that 10 = HCF(20,10) = HCF(130,20) = HCF(670,130) = HCF(800,670) = HCF(2270,800) = HCF(5340,2270) = HCF(7610,5340) .

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

Step 1: Since 83349 > 10, we apply the division lemma to 83349 and 10, to get

83349 = 10 x 8334 + 9

Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 9 and 10, to get

10 = 9 x 1 + 1

Step 3: We consider the new divisor 9 and the new remainder 1, and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 10 and 83349 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(83349,10) .

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Frequently Asked Questions on HCF of 7610, 5340, 83349 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 7610, 5340, 83349?

Answer: HCF of 7610, 5340, 83349 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7610, 5340, 83349 using Euclid's Algorithm?

Answer: For arbitrary numbers 7610, 5340, 83349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.