Highest Common Factor of 812, 604 using Euclid's algorithm
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 812, 604 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 812, 604 is 4 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 812, 604 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 812, 604 is 4.
HCF(812, 604) = 4
HCF of 812, 604 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 812, 604 is 4.
Highest Common Factor of 812,604 is 4
Step 1: Since 812 > 604, we apply the division lemma to 812 and 604, to get
812 = 604 x 1 + 208
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 208 and 604, to get
604 = 208 x 2 + 188
Step 3: We consider the new divisor 208 and the new remainder 188, and apply the division lemma to get
208 = 188 x 1 + 20
We consider the new divisor 188 and the new remainder 20,and apply the division lemma to get
188 = 20 x 9 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 812 and 604 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(188,20) = HCF(208,188) = HCF(604,208) = HCF(812,604) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 812, 604 using Euclid's Algorithm
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 812, 604?
Answer: HCF of 812, 604 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 812, 604 using Euclid's Algorithm?
Answer: For arbitrary numbers 812, 604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.