Highest Common Factor of 5982, 1288 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 5982, 1288 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5982, 1288 is 2 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 5982, 1288 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 5982, 1288 is 2.
HCF(5982, 1288) = 2
HCF of 5982, 1288 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5982, 1288 is 2.
Highest Common Factor of 5982,1288 is 2
Step 1: Since 5982 > 1288, we apply the division lemma to 5982 and 1288, to get
5982 = 1288 x 4 + 830
Step 2: Since the reminder 1288 ≠ 0, we apply division lemma to 830 and 1288, to get
1288 = 830 x 1 + 458
Step 3: We consider the new divisor 830 and the new remainder 458, and apply the division lemma to get
830 = 458 x 1 + 372
We consider the new divisor 458 and the new remainder 372,and apply the division lemma to get
458 = 372 x 1 + 86
We consider the new divisor 372 and the new remainder 86,and apply the division lemma to get
372 = 86 x 4 + 28
We consider the new divisor 86 and the new remainder 28,and apply the division lemma to get
86 = 28 x 3 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5982 and 1288 is 2
Notice that 2 = HCF(28,2) = HCF(86,28) = HCF(372,86) = HCF(458,372) = HCF(830,458) = HCF(1288,830) = HCF(5982,1288) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5982, 1288 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 5982, 1288?
Answer: HCF of 5982, 1288 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5982, 1288 using Euclid's Algorithm?
Answer: For arbitrary numbers 5982, 1288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.