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, 43298 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 43298 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 800, 43298 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, 43298 is 2.
HCF(800, 43298) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 43298 is 2.
Step 1: Since 43298 > 800, we apply the division lemma to 43298 and 800, to get
43298 = 800 x 54 + 98
Step 2: Since the reminder 800 ≠ 0, we apply division lemma to 98 and 800, to get
800 = 98 x 8 + 16
Step 3: We consider the new divisor 98 and the new remainder 16, and apply the division lemma to get
98 = 16 x 6 + 2
We consider the new divisor 16 and the new remainder 2, and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 800 and 43298 is 2
Notice that 2 = HCF(16,2) = HCF(98,16) = HCF(800,98) = HCF(43298,800) .
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, 43298?
Answer: HCF of 800, 43298 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 43298 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 43298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.