Highest Common Factor of 604, 566, 96 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 604, 566, 96 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 604, 566, 96 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 604, 566, 96 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 604, 566, 96 is 2.
HCF(604, 566, 96) = 2
HCF of 604, 566, 96 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 604, 566, 96 is 2.
Highest Common Factor of 604,566,96 is 2
Step 1: Since 604 > 566, we apply the division lemma to 604 and 566, to get
604 = 566 x 1 + 38
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 38 and 566, to get
566 = 38 x 14 + 34
Step 3: We consider the new divisor 38 and the new remainder 34, and apply the division lemma to get
38 = 34 x 1 + 4
We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get
34 = 4 x 8 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 604 and 566 is 2
Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(38,34) = HCF(566,38) = HCF(604,566) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96 > 2, we apply the division lemma to 96 and 2, to get
96 = 2 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 96 is 2
Notice that 2 = HCF(96,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 604, 566, 96 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 604, 566, 96?
Answer: HCF of 604, 566, 96 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 604, 566, 96 using Euclid's Algorithm?
Answer: For arbitrary numbers 604, 566, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.