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 484, 806 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 484, 806 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 484, 806 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 484, 806 is 2.
HCF(484, 806) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 484, 806 is 2.
Step 1: Since 806 > 484, we apply the division lemma to 806 and 484, to get
806 = 484 x 1 + 322
Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 322 and 484, to get
484 = 322 x 1 + 162
Step 3: We consider the new divisor 322 and the new remainder 162, and apply the division lemma to get
322 = 162 x 1 + 160
We consider the new divisor 162 and the new remainder 160,and apply the division lemma to get
162 = 160 x 1 + 2
We consider the new divisor 160 and the new remainder 2,and apply the division lemma to get
160 = 2 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 484 and 806 is 2
Notice that 2 = HCF(160,2) = HCF(162,160) = HCF(322,162) = HCF(484,322) = HCF(806,484) .
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 484, 806?
Answer: HCF of 484, 806 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 484, 806 using Euclid's Algorithm?
Answer: For arbitrary numbers 484, 806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.