Highest Common Factor of 502, 818 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 502, 818 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 502, 818 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 502, 818 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 502, 818 is 2.
HCF(502, 818) = 2
HCF of 502, 818 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 502, 818 is 2.
Highest Common Factor of 502,818 is 2
Step 1: Since 818 > 502, we apply the division lemma to 818 and 502, to get
818 = 502 x 1 + 316
Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 316 and 502, to get
502 = 316 x 1 + 186
Step 3: We consider the new divisor 316 and the new remainder 186, and apply the division lemma to get
316 = 186 x 1 + 130
We consider the new divisor 186 and the new remainder 130,and apply the division lemma to get
186 = 130 x 1 + 56
We consider the new divisor 130 and the new remainder 56,and apply the division lemma to get
130 = 56 x 2 + 18
We consider the new divisor 56 and the new remainder 18,and apply the division lemma to get
56 = 18 x 3 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 502 and 818 is 2
Notice that 2 = HCF(18,2) = HCF(56,18) = HCF(130,56) = HCF(186,130) = HCF(316,186) = HCF(502,316) = HCF(818,502) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 502, 818 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 502, 818?
Answer: HCF of 502, 818 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 502, 818 using Euclid's Algorithm?
Answer: For arbitrary numbers 502, 818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.