Highest Common Factor of 1225, 4064 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 1225, 4064 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1225, 4064 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 1225, 4064 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 1225, 4064 is 1.
HCF(1225, 4064) = 1
HCF of 1225, 4064 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1225, 4064 is 1.
Highest Common Factor of 1225,4064 is 1
Step 1: Since 4064 > 1225, we apply the division lemma to 4064 and 1225, to get
4064 = 1225 x 3 + 389
Step 2: Since the reminder 1225 ≠ 0, we apply division lemma to 389 and 1225, to get
1225 = 389 x 3 + 58
Step 3: We consider the new divisor 389 and the new remainder 58, and apply the division lemma to get
389 = 58 x 6 + 41
We consider the new divisor 58 and the new remainder 41,and apply the division lemma to get
58 = 41 x 1 + 17
We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get
41 = 17 x 2 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1225 and 4064 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(58,41) = HCF(389,58) = HCF(1225,389) = HCF(4064,1225) .
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Frequently Asked Questions on HCF of 1225, 4064 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 1225, 4064?
Answer: HCF of 1225, 4064 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1225, 4064 using Euclid's Algorithm?
Answer: For arbitrary numbers 1225, 4064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.