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 805, 544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 805, 544 is 1 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 805, 544 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 805, 544 is 1.
HCF(805, 544) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 805, 544 is 1.
Step 1: Since 805 > 544, we apply the division lemma to 805 and 544, to get
805 = 544 x 1 + 261
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 261 and 544, to get
544 = 261 x 2 + 22
Step 3: We consider the new divisor 261 and the new remainder 22, and apply the division lemma to get
261 = 22 x 11 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 805 and 544 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(261,22) = HCF(544,261) = HCF(805,544) .
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 805, 544?
Answer: HCF of 805, 544 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 805, 544 using Euclid's Algorithm?
Answer: For arbitrary numbers 805, 544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.