Highest Common Factor of 6431, 8373, 66859 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 6431, 8373, 66859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6431, 8373, 66859 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 6431, 8373, 66859 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 6431, 8373, 66859 is 1.
HCF(6431, 8373, 66859) = 1
HCF of 6431, 8373, 66859 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6431, 8373, 66859 is 1.
Highest Common Factor of 6431,8373,66859 is 1
Step 1: Since 8373 > 6431, we apply the division lemma to 8373 and 6431, to get
8373 = 6431 x 1 + 1942
Step 2: Since the reminder 6431 ≠ 0, we apply division lemma to 1942 and 6431, to get
6431 = 1942 x 3 + 605
Step 3: We consider the new divisor 1942 and the new remainder 605, and apply the division lemma to get
1942 = 605 x 3 + 127
We consider the new divisor 605 and the new remainder 127,and apply the division lemma to get
605 = 127 x 4 + 97
We consider the new divisor 127 and the new remainder 97,and apply the division lemma to get
127 = 97 x 1 + 30
We consider the new divisor 97 and the new remainder 30,and apply the division lemma to get
97 = 30 x 3 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 6431 and 8373 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(97,30) = HCF(127,97) = HCF(605,127) = HCF(1942,605) = HCF(6431,1942) = HCF(8373,6431) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66859 > 1, we apply the division lemma to 66859 and 1, to get
66859 = 1 x 66859 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66859 is 1
Notice that 1 = HCF(66859,1) .
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Frequently Asked Questions on HCF of 6431, 8373, 66859 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 6431, 8373, 66859?
Answer: HCF of 6431, 8373, 66859 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6431, 8373, 66859 using Euclid's Algorithm?
Answer: For arbitrary numbers 6431, 8373, 66859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.