Highest Common Factor of 4205, 6485 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 4205, 6485 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4205, 6485 is 5 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 4205, 6485 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 4205, 6485 is 5.
HCF(4205, 6485) = 5
HCF of 4205, 6485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4205, 6485 is 5.
Highest Common Factor of 4205,6485 is 5
Step 1: Since 6485 > 4205, we apply the division lemma to 6485 and 4205, to get
6485 = 4205 x 1 + 2280
Step 2: Since the reminder 4205 ≠ 0, we apply division lemma to 2280 and 4205, to get
4205 = 2280 x 1 + 1925
Step 3: We consider the new divisor 2280 and the new remainder 1925, and apply the division lemma to get
2280 = 1925 x 1 + 355
We consider the new divisor 1925 and the new remainder 355,and apply the division lemma to get
1925 = 355 x 5 + 150
We consider the new divisor 355 and the new remainder 150,and apply the division lemma to get
355 = 150 x 2 + 55
We consider the new divisor 150 and the new remainder 55,and apply the division lemma to get
150 = 55 x 2 + 40
We consider the new divisor 55 and the new remainder 40,and apply the division lemma to get
55 = 40 x 1 + 15
We consider the new divisor 40 and the new remainder 15,and apply the division lemma to get
40 = 15 x 2 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4205 and 6485 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(55,40) = HCF(150,55) = HCF(355,150) = HCF(1925,355) = HCF(2280,1925) = HCF(4205,2280) = HCF(6485,4205) .
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Frequently Asked Questions on HCF of 4205, 6485 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 4205, 6485?
Answer: HCF of 4205, 6485 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4205, 6485 using Euclid's Algorithm?
Answer: For arbitrary numbers 4205, 6485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.