Highest Common Factor of 4242, 1553 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 4242, 1553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4242, 1553 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 4242, 1553 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 4242, 1553 is 1.

HCF(4242, 1553) = 1

HCF of 4242, 1553 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 4242, 1553 is 1.

Highest Common Factor of 4242,1553 using Euclid's algorithm

Highest Common Factor of 4242,1553 is 1

Step 1: Since 4242 > 1553, we apply the division lemma to 4242 and 1553, to get

4242 = 1553 x 2 + 1136

Step 2: Since the reminder 1553 ≠ 0, we apply division lemma to 1136 and 1553, to get

1553 = 1136 x 1 + 417

Step 3: We consider the new divisor 1136 and the new remainder 417, and apply the division lemma to get

1136 = 417 x 2 + 302

We consider the new divisor 417 and the new remainder 302,and apply the division lemma to get

417 = 302 x 1 + 115

We consider the new divisor 302 and the new remainder 115,and apply the division lemma to get

302 = 115 x 2 + 72

We consider the new divisor 115 and the new remainder 72,and apply the division lemma to get

115 = 72 x 1 + 43

We consider the new divisor 72 and the new remainder 43,and apply the division lemma to get

72 = 43 x 1 + 29

We consider the new divisor 43 and the new remainder 29,and apply the division lemma to get

43 = 29 x 1 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4242 and 1553 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(43,29) = HCF(72,43) = HCF(115,72) = HCF(302,115) = HCF(417,302) = HCF(1136,417) = HCF(1553,1136) = HCF(4242,1553) .

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Frequently Asked Questions on HCF of 4242, 1553 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 4242, 1553?

Answer: HCF of 4242, 1553 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4242, 1553 using Euclid's Algorithm?

Answer: For arbitrary numbers 4242, 1553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.