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 83, 249 i.e. 83 the largest integer that leaves a remainder zero for all numbers.
HCF of 83, 249 is 83 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 83, 249 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 83, 249 is 83.
HCF(83, 249) = 83
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 83, 249 is 83.
Step 1: Since 249 > 83, we apply the division lemma to 249 and 83, to get
249 = 83 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 83, the HCF of 83 and 249 is 83
Notice that 83 = HCF(249,83) .
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 83, 249?
Answer: HCF of 83, 249 is 83 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 83, 249 using Euclid's Algorithm?
Answer: For arbitrary numbers 83, 249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.