Highest Common Factor of 5242, 550 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 5242, 550 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 5242, 550 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 5242, 550 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 5242, 550 is 2.

HCF(5242, 550) = 2

HCF of 5242, 550 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 5242, 550 is 2.

Highest Common Factor of 5242,550 using Euclid's algorithm

Highest Common Factor of 5242,550 is 2

Step 1: Since 5242 > 550, we apply the division lemma to 5242 and 550, to get

5242 = 550 x 9 + 292

Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 292 and 550, to get

550 = 292 x 1 + 258

Step 3: We consider the new divisor 292 and the new remainder 258, and apply the division lemma to get

292 = 258 x 1 + 34

We consider the new divisor 258 and the new remainder 34,and apply the division lemma to get

258 = 34 x 7 + 20

We consider the new divisor 34 and the new remainder 20,and apply the division lemma to get

34 = 20 x 1 + 14

We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get

20 = 14 x 1 + 6

We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get

14 = 6 x 2 + 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 5242 and 550 is 2

Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(34,20) = HCF(258,34) = HCF(292,258) = HCF(550,292) = HCF(5242,550) .

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Frequently Asked Questions on HCF of 5242, 550 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 5242, 550?

Answer: HCF of 5242, 550 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5242, 550 using Euclid's Algorithm?

Answer: For arbitrary numbers 5242, 550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.