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 242, 12218 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 242, 12218 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 242, 12218 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 242, 12218 is 2.
HCF(242, 12218) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 242, 12218 is 2.
Step 1: Since 12218 > 242, we apply the division lemma to 12218 and 242, to get
12218 = 242 x 50 + 118
Step 2: Since the reminder 242 ≠ 0, we apply division lemma to 118 and 242, to get
242 = 118 x 2 + 6
Step 3: We consider the new divisor 118 and the new remainder 6, and apply the division lemma to get
118 = 6 x 19 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 242 and 12218 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(118,6) = HCF(242,118) = HCF(12218,242) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 242, 12218?
Answer: HCF of 242, 12218 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 242, 12218 using Euclid's Algorithm?
Answer: For arbitrary numbers 242, 12218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.