Highest Common Factor of 6135, 1649 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 6135, 1649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6135, 1649 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 6135, 1649 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 6135, 1649 is 1.
HCF(6135, 1649) = 1
HCF of 6135, 1649 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6135, 1649 is 1.
Highest Common Factor of 6135,1649 is 1
Step 1: Since 6135 > 1649, we apply the division lemma to 6135 and 1649, to get
6135 = 1649 x 3 + 1188
Step 2: Since the reminder 1649 ≠ 0, we apply division lemma to 1188 and 1649, to get
1649 = 1188 x 1 + 461
Step 3: We consider the new divisor 1188 and the new remainder 461, and apply the division lemma to get
1188 = 461 x 2 + 266
We consider the new divisor 461 and the new remainder 266,and apply the division lemma to get
461 = 266 x 1 + 195
We consider the new divisor 266 and the new remainder 195,and apply the division lemma to get
266 = 195 x 1 + 71
We consider the new divisor 195 and the new remainder 71,and apply the division lemma to get
195 = 71 x 2 + 53
We consider the new divisor 71 and the new remainder 53,and apply the division lemma to get
71 = 53 x 1 + 18
We consider the new divisor 53 and the new remainder 18,and apply the division lemma to get
53 = 18 x 2 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6135 and 1649 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(53,18) = HCF(71,53) = HCF(195,71) = HCF(266,195) = HCF(461,266) = HCF(1188,461) = HCF(1649,1188) = HCF(6135,1649) .
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Frequently Asked Questions on HCF of 6135, 1649 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 6135, 1649?
Answer: HCF of 6135, 1649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6135, 1649 using Euclid's Algorithm?
Answer: For arbitrary numbers 6135, 1649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.