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 408, 85599 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 408, 85599 is 3 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 408, 85599 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 408, 85599 is 3.
HCF(408, 85599) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 408, 85599 is 3.
Step 1: Since 85599 > 408, we apply the division lemma to 85599 and 408, to get
85599 = 408 x 209 + 327
Step 2: Since the reminder 408 ≠ 0, we apply division lemma to 327 and 408, to get
408 = 327 x 1 + 81
Step 3: We consider the new divisor 327 and the new remainder 81, and apply the division lemma to get
327 = 81 x 4 + 3
We consider the new divisor 81 and the new remainder 3, and apply the division lemma to get
81 = 3 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 408 and 85599 is 3
Notice that 3 = HCF(81,3) = HCF(327,81) = HCF(408,327) = HCF(85599,408) .
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 408, 85599?
Answer: HCF of 408, 85599 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 408, 85599 using Euclid's Algorithm?
Answer: For arbitrary numbers 408, 85599 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.