Highest Common Factor of 4541, 1064 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 4541, 1064 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 4541, 1064 is 19 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 4541, 1064 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 4541, 1064 is 19.
HCF(4541, 1064) = 19
HCF of 4541, 1064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4541, 1064 is 19.
Highest Common Factor of 4541,1064 is 19
Step 1: Since 4541 > 1064, we apply the division lemma to 4541 and 1064, to get
4541 = 1064 x 4 + 285
Step 2: Since the reminder 1064 ≠ 0, we apply division lemma to 285 and 1064, to get
1064 = 285 x 3 + 209
Step 3: We consider the new divisor 285 and the new remainder 209, and apply the division lemma to get
285 = 209 x 1 + 76
We consider the new divisor 209 and the new remainder 76,and apply the division lemma to get
209 = 76 x 2 + 57
We consider the new divisor 76 and the new remainder 57,and apply the division lemma to get
76 = 57 x 1 + 19
We consider the new divisor 57 and the new remainder 19,and apply the division lemma to get
57 = 19 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 4541 and 1064 is 19
Notice that 19 = HCF(57,19) = HCF(76,57) = HCF(209,76) = HCF(285,209) = HCF(1064,285) = HCF(4541,1064) .
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Frequently Asked Questions on HCF of 4541, 1064 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 4541, 1064?
Answer: HCF of 4541, 1064 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4541, 1064 using Euclid's Algorithm?
Answer: For arbitrary numbers 4541, 1064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.