Highest Common Factor of 7222, 3047 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 7222, 3047 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7222, 3047 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 7222, 3047 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 7222, 3047 is 1.

HCF(7222, 3047) = 1

HCF of 7222, 3047 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 7222, 3047 is 1.

Highest Common Factor of 7222,3047 using Euclid's algorithm

Highest Common Factor of 7222,3047 is 1

Step 1: Since 7222 > 3047, we apply the division lemma to 7222 and 3047, to get

7222 = 3047 x 2 + 1128

Step 2: Since the reminder 3047 ≠ 0, we apply division lemma to 1128 and 3047, to get

3047 = 1128 x 2 + 791

Step 3: We consider the new divisor 1128 and the new remainder 791, and apply the division lemma to get

1128 = 791 x 1 + 337

We consider the new divisor 791 and the new remainder 337,and apply the division lemma to get

791 = 337 x 2 + 117

We consider the new divisor 337 and the new remainder 117,and apply the division lemma to get

337 = 117 x 2 + 103

We consider the new divisor 117 and the new remainder 103,and apply the division lemma to get

117 = 103 x 1 + 14

We consider the new divisor 103 and the new remainder 14,and apply the division lemma to get

103 = 14 x 7 + 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 7222 and 3047 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(103,14) = HCF(117,103) = HCF(337,117) = HCF(791,337) = HCF(1128,791) = HCF(3047,1128) = HCF(7222,3047) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7222, 3047 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 7222, 3047?

Answer: HCF of 7222, 3047 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7222, 3047 using Euclid's Algorithm?

Answer: For arbitrary numbers 7222, 3047 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.