Highest Common Factor of 5026, 1582 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 5026, 1582 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 5026, 1582 is 14 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 5026, 1582 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 5026, 1582 is 14.
HCF(5026, 1582) = 14
HCF of 5026, 1582 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5026, 1582 is 14.
Highest Common Factor of 5026,1582 is 14
Step 1: Since 5026 > 1582, we apply the division lemma to 5026 and 1582, to get
5026 = 1582 x 3 + 280
Step 2: Since the reminder 1582 ≠ 0, we apply division lemma to 280 and 1582, to get
1582 = 280 x 5 + 182
Step 3: We consider the new divisor 280 and the new remainder 182, and apply the division lemma to get
280 = 182 x 1 + 98
We consider the new divisor 182 and the new remainder 98,and apply the division lemma to get
182 = 98 x 1 + 84
We consider the new divisor 98 and the new remainder 84,and apply the division lemma to get
98 = 84 x 1 + 14
We consider the new divisor 84 and the new remainder 14,and apply the division lemma to get
84 = 14 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 5026 and 1582 is 14
Notice that 14 = HCF(84,14) = HCF(98,84) = HCF(182,98) = HCF(280,182) = HCF(1582,280) = HCF(5026,1582) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5026, 1582 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 5026, 1582?
Answer: HCF of 5026, 1582 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5026, 1582 using Euclid's Algorithm?
Answer: For arbitrary numbers 5026, 1582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.