Highest Common Factor of 1283, 7158 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, 7158 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1283, 7158 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, 7158 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, 7158 is 1.
HCF(1283, 7158) = 1
HCF of 1283, 7158 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, 7158 is 1.
Highest Common Factor of 1283,7158 is 1
Step 1: Since 7158 > 1283, we apply the division lemma to 7158 and 1283, to get
7158 = 1283 x 5 + 743
Step 2: Since the reminder 1283 ≠ 0, we apply division lemma to 743 and 1283, to get
1283 = 743 x 1 + 540
Step 3: We consider the new divisor 743 and the new remainder 540, and apply the division lemma to get
743 = 540 x 1 + 203
We consider the new divisor 540 and the new remainder 203,and apply the division lemma to get
540 = 203 x 2 + 134
We consider the new divisor 203 and the new remainder 134,and apply the division lemma to get
203 = 134 x 1 + 69
We consider the new divisor 134 and the new remainder 69,and apply the division lemma to get
134 = 69 x 1 + 65
We consider the new divisor 69 and the new remainder 65,and apply the division lemma to get
69 = 65 x 1 + 4
We consider the new divisor 65 and the new remainder 4,and apply the division lemma to get
65 = 4 x 16 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1283 and 7158 is 1
Notice that 1 = HCF(4,1) = HCF(65,4) = HCF(69,65) = HCF(134,69) = HCF(203,134) = HCF(540,203) = HCF(743,540) = HCF(1283,743) = HCF(7158,1283) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1283, 7158 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, 7158?
Answer: HCF of 1283, 7158 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1283, 7158 using Euclid's Algorithm?
Answer: For arbitrary numbers 1283, 7158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.