Highest Common Factor of 6406, 1401 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 6406, 1401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6406, 1401 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 6406, 1401 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 6406, 1401 is 1.
HCF(6406, 1401) = 1
HCF of 6406, 1401 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6406, 1401 is 1.
Highest Common Factor of 6406,1401 is 1
Step 1: Since 6406 > 1401, we apply the division lemma to 6406 and 1401, to get
6406 = 1401 x 4 + 802
Step 2: Since the reminder 1401 ≠ 0, we apply division lemma to 802 and 1401, to get
1401 = 802 x 1 + 599
Step 3: We consider the new divisor 802 and the new remainder 599, and apply the division lemma to get
802 = 599 x 1 + 203
We consider the new divisor 599 and the new remainder 203,and apply the division lemma to get
599 = 203 x 2 + 193
We consider the new divisor 203 and the new remainder 193,and apply the division lemma to get
203 = 193 x 1 + 10
We consider the new divisor 193 and the new remainder 10,and apply the division lemma to get
193 = 10 x 19 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 6406 and 1401 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(193,10) = HCF(203,193) = HCF(599,203) = HCF(802,599) = HCF(1401,802) = HCF(6406,1401) .
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Frequently Asked Questions on HCF of 6406, 1401 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 6406, 1401?
Answer: HCF of 6406, 1401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6406, 1401 using Euclid's Algorithm?
Answer: For arbitrary numbers 6406, 1401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.