Highest Common Factor of 7461, 4178, 62099 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 7461, 4178, 62099 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7461, 4178, 62099 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 7461, 4178, 62099 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 7461, 4178, 62099 is 1.

HCF(7461, 4178, 62099) = 1

HCF of 7461, 4178, 62099 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 7461, 4178, 62099 is 1.

Highest Common Factor of 7461,4178,62099 using Euclid's algorithm

Highest Common Factor of 7461,4178,62099 is 1

Step 1: Since 7461 > 4178, we apply the division lemma to 7461 and 4178, to get

7461 = 4178 x 1 + 3283

Step 2: Since the reminder 4178 ≠ 0, we apply division lemma to 3283 and 4178, to get

4178 = 3283 x 1 + 895

Step 3: We consider the new divisor 3283 and the new remainder 895, and apply the division lemma to get

3283 = 895 x 3 + 598

We consider the new divisor 895 and the new remainder 598,and apply the division lemma to get

895 = 598 x 1 + 297

We consider the new divisor 598 and the new remainder 297,and apply the division lemma to get

598 = 297 x 2 + 4

We consider the new divisor 297 and the new remainder 4,and apply the division lemma to get

297 = 4 x 74 + 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 7461 and 4178 is 1

Notice that 1 = HCF(4,1) = HCF(297,4) = HCF(598,297) = HCF(895,598) = HCF(3283,895) = HCF(4178,3283) = HCF(7461,4178) .

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

Step 1: Since 62099 > 1, we apply the division lemma to 62099 and 1, to get

62099 = 1 x 62099 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62099 is 1

Notice that 1 = HCF(62099,1) .

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Frequently Asked Questions on HCF of 7461, 4178, 62099 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 7461, 4178, 62099?

Answer: HCF of 7461, 4178, 62099 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7461, 4178, 62099 using Euclid's Algorithm?

Answer: For arbitrary numbers 7461, 4178, 62099 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.