Highest Common Factor of 741, 54629 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 741, 54629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 741, 54629 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 741, 54629 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 741, 54629 is 1.
HCF(741, 54629) = 1
HCF of 741, 54629 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 741, 54629 is 1.
Highest Common Factor of 741,54629 is 1
Step 1: Since 54629 > 741, we apply the division lemma to 54629 and 741, to get
54629 = 741 x 73 + 536
Step 2: Since the reminder 741 ≠ 0, we apply division lemma to 536 and 741, to get
741 = 536 x 1 + 205
Step 3: We consider the new divisor 536 and the new remainder 205, and apply the division lemma to get
536 = 205 x 2 + 126
We consider the new divisor 205 and the new remainder 126,and apply the division lemma to get
205 = 126 x 1 + 79
We consider the new divisor 126 and the new remainder 79,and apply the division lemma to get
126 = 79 x 1 + 47
We consider the new divisor 79 and the new remainder 47,and apply the division lemma to get
79 = 47 x 1 + 32
We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get
47 = 32 x 1 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 741 and 54629 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(79,47) = HCF(126,79) = HCF(205,126) = HCF(536,205) = HCF(741,536) = HCF(54629,741) .
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Frequently Asked Questions on HCF of 741, 54629 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 741, 54629?
Answer: HCF of 741, 54629 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 741, 54629 using Euclid's Algorithm?
Answer: For arbitrary numbers 741, 54629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
