Highest Common Factor of 6287, 2150, 26167 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 6287, 2150, 26167 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6287, 2150, 26167 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 6287, 2150, 26167 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 6287, 2150, 26167 is 1.
HCF(6287, 2150, 26167) = 1
HCF of 6287, 2150, 26167 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6287, 2150, 26167 is 1.
Highest Common Factor of 6287,2150,26167 is 1
Step 1: Since 6287 > 2150, we apply the division lemma to 6287 and 2150, to get
6287 = 2150 x 2 + 1987
Step 2: Since the reminder 2150 ≠ 0, we apply division lemma to 1987 and 2150, to get
2150 = 1987 x 1 + 163
Step 3: We consider the new divisor 1987 and the new remainder 163, and apply the division lemma to get
1987 = 163 x 12 + 31
We consider the new divisor 163 and the new remainder 31,and apply the division lemma to get
163 = 31 x 5 + 8
We consider the new divisor 31 and the new remainder 8,and apply the division lemma to get
31 = 8 x 3 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6287 and 2150 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(31,8) = HCF(163,31) = HCF(1987,163) = HCF(2150,1987) = HCF(6287,2150) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26167 > 1, we apply the division lemma to 26167 and 1, to get
26167 = 1 x 26167 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26167 is 1
Notice that 1 = HCF(26167,1) .
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Frequently Asked Questions on HCF of 6287, 2150, 26167 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 6287, 2150, 26167?
Answer: HCF of 6287, 2150, 26167 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6287, 2150, 26167 using Euclid's Algorithm?
Answer: For arbitrary numbers 6287, 2150, 26167 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.