Highest Common Factor of 6405, 3560 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 6405, 3560 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6405, 3560 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 6405, 3560 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 6405, 3560 is 5.
HCF(6405, 3560) = 5
HCF of 6405, 3560 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6405, 3560 is 5.
Highest Common Factor of 6405,3560 is 5
Step 1: Since 6405 > 3560, we apply the division lemma to 6405 and 3560, to get
6405 = 3560 x 1 + 2845
Step 2: Since the reminder 3560 ≠ 0, we apply division lemma to 2845 and 3560, to get
3560 = 2845 x 1 + 715
Step 3: We consider the new divisor 2845 and the new remainder 715, and apply the division lemma to get
2845 = 715 x 3 + 700
We consider the new divisor 715 and the new remainder 700,and apply the division lemma to get
715 = 700 x 1 + 15
We consider the new divisor 700 and the new remainder 15,and apply the division lemma to get
700 = 15 x 46 + 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 6405 and 3560 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(700,15) = HCF(715,700) = HCF(2845,715) = HCF(3560,2845) = HCF(6405,3560) .
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Frequently Asked Questions on HCF of 6405, 3560 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 6405, 3560?
Answer: HCF of 6405, 3560 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6405, 3560 using Euclid's Algorithm?
Answer: For arbitrary numbers 6405, 3560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.