Highest Common Factor of 1283, 6148 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 1283, 6148 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1283, 6148 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 1283, 6148 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 1283, 6148 is 1.
HCF(1283, 6148) = 1
HCF of 1283, 6148 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1283, 6148 is 1.
Highest Common Factor of 1283,6148 is 1
Step 1: Since 6148 > 1283, we apply the division lemma to 6148 and 1283, to get
6148 = 1283 x 4 + 1016
Step 2: Since the reminder 1283 ≠ 0, we apply division lemma to 1016 and 1283, to get
1283 = 1016 x 1 + 267
Step 3: We consider the new divisor 1016 and the new remainder 267, and apply the division lemma to get
1016 = 267 x 3 + 215
We consider the new divisor 267 and the new remainder 215,and apply the division lemma to get
267 = 215 x 1 + 52
We consider the new divisor 215 and the new remainder 52,and apply the division lemma to get
215 = 52 x 4 + 7
We consider the new divisor 52 and the new remainder 7,and apply the division lemma to get
52 = 7 x 7 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 1283 and 6148 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(52,7) = HCF(215,52) = HCF(267,215) = HCF(1016,267) = HCF(1283,1016) = HCF(6148,1283) .
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Frequently Asked Questions on HCF of 1283, 6148 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 1283, 6148?
Answer: HCF of 1283, 6148 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1283, 6148 using Euclid's Algorithm?
Answer: For arbitrary numbers 1283, 6148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
