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 818, 75244 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 818, 75244 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 818, 75244 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 818, 75244 is 2.
HCF(818, 75244) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 818, 75244 is 2.
Step 1: Since 75244 > 818, we apply the division lemma to 75244 and 818, to get
75244 = 818 x 91 + 806
Step 2: Since the reminder 818 ≠ 0, we apply division lemma to 806 and 818, to get
818 = 806 x 1 + 12
Step 3: We consider the new divisor 806 and the new remainder 12, and apply the division lemma to get
806 = 12 x 67 + 2
We consider the new divisor 12 and the new remainder 2, and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 818 and 75244 is 2
Notice that 2 = HCF(12,2) = HCF(806,12) = HCF(818,806) = HCF(75244,818) .
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 818, 75244?
Answer: HCF of 818, 75244 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 818, 75244 using Euclid's Algorithm?
Answer: For arbitrary numbers 818, 75244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.