Highest Common Factor of 7229, 744 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 7229, 744 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7229, 744 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 7229, 744 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 7229, 744 is 1.
HCF(7229, 744) = 1
HCF of 7229, 744 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7229, 744 is 1.
Highest Common Factor of 7229,744 is 1
Step 1: Since 7229 > 744, we apply the division lemma to 7229 and 744, to get
7229 = 744 x 9 + 533
Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 533 and 744, to get
744 = 533 x 1 + 211
Step 3: We consider the new divisor 533 and the new remainder 211, and apply the division lemma to get
533 = 211 x 2 + 111
We consider the new divisor 211 and the new remainder 111,and apply the division lemma to get
211 = 111 x 1 + 100
We consider the new divisor 111 and the new remainder 100,and apply the division lemma to get
111 = 100 x 1 + 11
We consider the new divisor 100 and the new remainder 11,and apply the division lemma to get
100 = 11 x 9 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7229 and 744 is 1
Notice that 1 = HCF(11,1) = HCF(100,11) = HCF(111,100) = HCF(211,111) = HCF(533,211) = HCF(744,533) = HCF(7229,744) .
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Frequently Asked Questions on HCF of 7229, 744 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 7229, 744?
Answer: HCF of 7229, 744 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7229, 744 using Euclid's Algorithm?
Answer: For arbitrary numbers 7229, 744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.