Highest Common Factor of 5222, 4293 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 5222, 4293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5222, 4293 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 5222, 4293 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 5222, 4293 is 1.

HCF(5222, 4293) = 1

HCF of 5222, 4293 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 5222, 4293 is 1.

Highest Common Factor of 5222,4293 using Euclid's algorithm

Highest Common Factor of 5222,4293 is 1

Step 1: Since 5222 > 4293, we apply the division lemma to 5222 and 4293, to get

5222 = 4293 x 1 + 929

Step 2: Since the reminder 4293 ≠ 0, we apply division lemma to 929 and 4293, to get

4293 = 929 x 4 + 577

Step 3: We consider the new divisor 929 and the new remainder 577, and apply the division lemma to get

929 = 577 x 1 + 352

We consider the new divisor 577 and the new remainder 352,and apply the division lemma to get

577 = 352 x 1 + 225

We consider the new divisor 352 and the new remainder 225,and apply the division lemma to get

352 = 225 x 1 + 127

We consider the new divisor 225 and the new remainder 127,and apply the division lemma to get

225 = 127 x 1 + 98

We consider the new divisor 127 and the new remainder 98,and apply the division lemma to get

127 = 98 x 1 + 29

We consider the new divisor 98 and the new remainder 29,and apply the division lemma to get

98 = 29 x 3 + 11

We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get

29 = 11 x 2 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5222 and 4293 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(98,29) = HCF(127,98) = HCF(225,127) = HCF(352,225) = HCF(577,352) = HCF(929,577) = HCF(4293,929) = HCF(5222,4293) .

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Frequently Asked Questions on HCF of 5222, 4293 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 5222, 4293?

Answer: HCF of 5222, 4293 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5222, 4293 using Euclid's Algorithm?

Answer: For arbitrary numbers 5222, 4293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.