Highest Common Factor of 5050, 7219 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 5050, 7219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5050, 7219 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 5050, 7219 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 5050, 7219 is 1.

HCF(5050, 7219) = 1

HCF of 5050, 7219 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5050, 7219 is 1.

Highest Common Factor of 5050,7219 using Euclid's algorithm

Highest Common Factor of 5050,7219 is 1

Step 1: Since 7219 > 5050, we apply the division lemma to 7219 and 5050, to get

7219 = 5050 x 1 + 2169

Step 2: Since the reminder 5050 ≠ 0, we apply division lemma to 2169 and 5050, to get

5050 = 2169 x 2 + 712

Step 3: We consider the new divisor 2169 and the new remainder 712, and apply the division lemma to get

2169 = 712 x 3 + 33

We consider the new divisor 712 and the new remainder 33,and apply the division lemma to get

712 = 33 x 21 + 19

We consider the new divisor 33 and the new remainder 19,and apply the division lemma to get

33 = 19 x 1 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 5050 and 7219 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(33,19) = HCF(712,33) = HCF(2169,712) = HCF(5050,2169) = HCF(7219,5050) .

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Frequently Asked Questions on HCF of 5050, 7219 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 5050, 7219?

Answer: HCF of 5050, 7219 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5050, 7219 using Euclid's Algorithm?

Answer: For arbitrary numbers 5050, 7219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.