Highest Common Factor of 6319, 8409, 62664 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 6319, 8409, 62664 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6319, 8409, 62664 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 6319, 8409, 62664 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 6319, 8409, 62664 is 1.
HCF(6319, 8409, 62664) = 1
HCF of 6319, 8409, 62664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6319, 8409, 62664 is 1.
Highest Common Factor of 6319,8409,62664 is 1
Step 1: Since 8409 > 6319, we apply the division lemma to 8409 and 6319, to get
8409 = 6319 x 1 + 2090
Step 2: Since the reminder 6319 ≠ 0, we apply division lemma to 2090 and 6319, to get
6319 = 2090 x 3 + 49
Step 3: We consider the new divisor 2090 and the new remainder 49, and apply the division lemma to get
2090 = 49 x 42 + 32
We consider the new divisor 49 and the new remainder 32,and apply the division lemma to get
49 = 32 x 1 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6319 and 8409 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(49,32) = HCF(2090,49) = HCF(6319,2090) = HCF(8409,6319) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62664 > 1, we apply the division lemma to 62664 and 1, to get
62664 = 1 x 62664 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62664 is 1
Notice that 1 = HCF(62664,1) .
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Frequently Asked Questions on HCF of 6319, 8409, 62664 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 6319, 8409, 62664?
Answer: HCF of 6319, 8409, 62664 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6319, 8409, 62664 using Euclid's Algorithm?
Answer: For arbitrary numbers 6319, 8409, 62664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
