Highest Common Factor of 6485, 4284 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 6485, 4284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6485, 4284 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 6485, 4284 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 6485, 4284 is 1.
HCF(6485, 4284) = 1
HCF of 6485, 4284 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6485, 4284 is 1.
Highest Common Factor of 6485,4284 is 1
Step 1: Since 6485 > 4284, we apply the division lemma to 6485 and 4284, to get
6485 = 4284 x 1 + 2201
Step 2: Since the reminder 4284 ≠ 0, we apply division lemma to 2201 and 4284, to get
4284 = 2201 x 1 + 2083
Step 3: We consider the new divisor 2201 and the new remainder 2083, and apply the division lemma to get
2201 = 2083 x 1 + 118
We consider the new divisor 2083 and the new remainder 118,and apply the division lemma to get
2083 = 118 x 17 + 77
We consider the new divisor 118 and the new remainder 77,and apply the division lemma to get
118 = 77 x 1 + 41
We consider the new divisor 77 and the new remainder 41,and apply the division lemma to get
77 = 41 x 1 + 36
We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get
41 = 36 x 1 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6485 and 4284 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(77,41) = HCF(118,77) = HCF(2083,118) = HCF(2201,2083) = HCF(4284,2201) = HCF(6485,4284) .
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Frequently Asked Questions on HCF of 6485, 4284 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 6485, 4284?
Answer: HCF of 6485, 4284 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6485, 4284 using Euclid's Algorithm?
Answer: For arbitrary numbers 6485, 4284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.