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 800, 565 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 565 is 5 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 800, 565 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 800, 565 is 5.
HCF(800, 565) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 565 is 5.
Step 1: Since 800 > 565, we apply the division lemma to 800 and 565, to get
800 = 565 x 1 + 235
Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 235 and 565, to get
565 = 235 x 2 + 95
Step 3: We consider the new divisor 235 and the new remainder 95, and apply the division lemma to get
235 = 95 x 2 + 45
We consider the new divisor 95 and the new remainder 45,and apply the division lemma to get
95 = 45 x 2 + 5
We consider the new divisor 45 and the new remainder 5,and apply the division lemma to get
45 = 5 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 800 and 565 is 5
Notice that 5 = HCF(45,5) = HCF(95,45) = HCF(235,95) = HCF(565,235) = HCF(800,565) .
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 800, 565?
Answer: HCF of 800, 565 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 565 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 565 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.