Highest Common Factor of 4202, 4879, 99305 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 4202, 4879, 99305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4202, 4879, 99305 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 4202, 4879, 99305 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 4202, 4879, 99305 is 1.

HCF(4202, 4879, 99305) = 1

HCF of 4202, 4879, 99305 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 4202, 4879, 99305 is 1.

Highest Common Factor of 4202,4879,99305 using Euclid's algorithm

Highest Common Factor of 4202,4879,99305 is 1

Step 1: Since 4879 > 4202, we apply the division lemma to 4879 and 4202, to get

4879 = 4202 x 1 + 677

Step 2: Since the reminder 4202 ≠ 0, we apply division lemma to 677 and 4202, to get

4202 = 677 x 6 + 140

Step 3: We consider the new divisor 677 and the new remainder 140, and apply the division lemma to get

677 = 140 x 4 + 117

We consider the new divisor 140 and the new remainder 117,and apply the division lemma to get

140 = 117 x 1 + 23

We consider the new divisor 117 and the new remainder 23,and apply the division lemma to get

117 = 23 x 5 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 4202 and 4879 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(117,23) = HCF(140,117) = HCF(677,140) = HCF(4202,677) = HCF(4879,4202) .

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

Step 1: Since 99305 > 1, we apply the division lemma to 99305 and 1, to get

99305 = 1 x 99305 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99305 is 1

Notice that 1 = HCF(99305,1) .

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Frequently Asked Questions on HCF of 4202, 4879, 99305 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 4202, 4879, 99305?

Answer: HCF of 4202, 4879, 99305 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4202, 4879, 99305 using Euclid's Algorithm?

Answer: For arbitrary numbers 4202, 4879, 99305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.