Highest Common Factor of 6213, 9518, 70740 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 6213, 9518, 70740 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6213, 9518, 70740 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 6213, 9518, 70740 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 6213, 9518, 70740 is 1.

HCF(6213, 9518, 70740) = 1

HCF of 6213, 9518, 70740 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 6213, 9518, 70740 is 1.

Highest Common Factor of 6213,9518,70740 using Euclid's algorithm

Highest Common Factor of 6213,9518,70740 is 1

Step 1: Since 9518 > 6213, we apply the division lemma to 9518 and 6213, to get

9518 = 6213 x 1 + 3305

Step 2: Since the reminder 6213 ≠ 0, we apply division lemma to 3305 and 6213, to get

6213 = 3305 x 1 + 2908

Step 3: We consider the new divisor 3305 and the new remainder 2908, and apply the division lemma to get

3305 = 2908 x 1 + 397

We consider the new divisor 2908 and the new remainder 397,and apply the division lemma to get

2908 = 397 x 7 + 129

We consider the new divisor 397 and the new remainder 129,and apply the division lemma to get

397 = 129 x 3 + 10

We consider the new divisor 129 and the new remainder 10,and apply the division lemma to get

129 = 10 x 12 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

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 6213 and 9518 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(129,10) = HCF(397,129) = HCF(2908,397) = HCF(3305,2908) = HCF(6213,3305) = HCF(9518,6213) .

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

Step 1: Since 70740 > 1, we apply the division lemma to 70740 and 1, to get

70740 = 1 x 70740 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70740 is 1

Notice that 1 = HCF(70740,1) .

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Frequently Asked Questions on HCF of 6213, 9518, 70740 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 6213, 9518, 70740?

Answer: HCF of 6213, 9518, 70740 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6213, 9518, 70740 using Euclid's Algorithm?

Answer: For arbitrary numbers 6213, 9518, 70740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.