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, 320 i.e. 160 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 320 is 160 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, 320 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, 320 is 160.
HCF(800, 320) = 160
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 320 is 160.
Step 1: Since 800 > 320, we apply the division lemma to 800 and 320, to get
800 = 320 x 2 + 160
Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 160 and 320, to get
320 = 160 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 160, the HCF of 800 and 320 is 160
Notice that 160 = HCF(320,160) = HCF(800,320) .
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, 320?
Answer: HCF of 800, 320 is 160 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 320 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.