Highest Common Factor of 6154, 2369 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 6154, 2369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6154, 2369 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 6154, 2369 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 6154, 2369 is 1.
HCF(6154, 2369) = 1
HCF of 6154, 2369 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6154, 2369 is 1.
Highest Common Factor of 6154,2369 is 1
Step 1: Since 6154 > 2369, we apply the division lemma to 6154 and 2369, to get
6154 = 2369 x 2 + 1416
Step 2: Since the reminder 2369 ≠ 0, we apply division lemma to 1416 and 2369, to get
2369 = 1416 x 1 + 953
Step 3: We consider the new divisor 1416 and the new remainder 953, and apply the division lemma to get
1416 = 953 x 1 + 463
We consider the new divisor 953 and the new remainder 463,and apply the division lemma to get
953 = 463 x 2 + 27
We consider the new divisor 463 and the new remainder 27,and apply the division lemma to get
463 = 27 x 17 + 4
We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get
27 = 4 x 6 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 6154 and 2369 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(463,27) = HCF(953,463) = HCF(1416,953) = HCF(2369,1416) = HCF(6154,2369) .
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Frequently Asked Questions on HCF of 6154, 2369 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 6154, 2369?
Answer: HCF of 6154, 2369 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6154, 2369 using Euclid's Algorithm?
Answer: For arbitrary numbers 6154, 2369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.