Highest Common Factor of 6464, 4175 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 6464, 4175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6464, 4175 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 6464, 4175 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 6464, 4175 is 1.
HCF(6464, 4175) = 1
HCF of 6464, 4175 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6464, 4175 is 1.
Highest Common Factor of 6464,4175 is 1
Step 1: Since 6464 > 4175, we apply the division lemma to 6464 and 4175, to get
6464 = 4175 x 1 + 2289
Step 2: Since the reminder 4175 ≠ 0, we apply division lemma to 2289 and 4175, to get
4175 = 2289 x 1 + 1886
Step 3: We consider the new divisor 2289 and the new remainder 1886, and apply the division lemma to get
2289 = 1886 x 1 + 403
We consider the new divisor 1886 and the new remainder 403,and apply the division lemma to get
1886 = 403 x 4 + 274
We consider the new divisor 403 and the new remainder 274,and apply the division lemma to get
403 = 274 x 1 + 129
We consider the new divisor 274 and the new remainder 129,and apply the division lemma to get
274 = 129 x 2 + 16
We consider the new divisor 129 and the new remainder 16,and apply the division lemma to get
129 = 16 x 8 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6464 and 4175 is 1
Notice that 1 = HCF(16,1) = HCF(129,16) = HCF(274,129) = HCF(403,274) = HCF(1886,403) = HCF(2289,1886) = HCF(4175,2289) = HCF(6464,4175) .
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Frequently Asked Questions on HCF of 6464, 4175 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 6464, 4175?
Answer: HCF of 6464, 4175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6464, 4175 using Euclid's Algorithm?
Answer: For arbitrary numbers 6464, 4175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.