Highest Common Factor of 7358, 6210, 24956 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 7358, 6210, 24956 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 7358, 6210, 24956 is 2 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 7358, 6210, 24956 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 7358, 6210, 24956 is 2.

HCF(7358, 6210, 24956) = 2

HCF of 7358, 6210, 24956 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 7358, 6210, 24956 is 2.

Highest Common Factor of 7358,6210,24956 using Euclid's algorithm

Highest Common Factor of 7358,6210,24956 is 2

Step 1: Since 7358 > 6210, we apply the division lemma to 7358 and 6210, to get

7358 = 6210 x 1 + 1148

Step 2: Since the reminder 6210 ≠ 0, we apply division lemma to 1148 and 6210, to get

6210 = 1148 x 5 + 470

Step 3: We consider the new divisor 1148 and the new remainder 470, and apply the division lemma to get

1148 = 470 x 2 + 208

We consider the new divisor 470 and the new remainder 208,and apply the division lemma to get

470 = 208 x 2 + 54

We consider the new divisor 208 and the new remainder 54,and apply the division lemma to get

208 = 54 x 3 + 46

We consider the new divisor 54 and the new remainder 46,and apply the division lemma to get

54 = 46 x 1 + 8

We consider the new divisor 46 and the new remainder 8,and apply the division lemma to get

46 = 8 x 5 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7358 and 6210 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(46,8) = HCF(54,46) = HCF(208,54) = HCF(470,208) = HCF(1148,470) = HCF(6210,1148) = HCF(7358,6210) .

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

Step 1: Since 24956 > 2, we apply the division lemma to 24956 and 2, to get

24956 = 2 x 12478 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 24956 is 2

Notice that 2 = HCF(24956,2) .

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Frequently Asked Questions on HCF of 7358, 6210, 24956 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 7358, 6210, 24956?

Answer: HCF of 7358, 6210, 24956 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7358, 6210, 24956 using Euclid's Algorithm?

Answer: For arbitrary numbers 7358, 6210, 24956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.