Highest Common Factor of 578, 468 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 578, 468 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 578, 468 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 578, 468 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 578, 468 is 2.
HCF(578, 468) = 2
HCF of 578, 468 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 578, 468 is 2.
Highest Common Factor of 578,468 is 2
Step 1: Since 578 > 468, we apply the division lemma to 578 and 468, to get
578 = 468 x 1 + 110
Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 110 and 468, to get
468 = 110 x 4 + 28
Step 3: We consider the new divisor 110 and the new remainder 28, and apply the division lemma to get
110 = 28 x 3 + 26
We consider the new divisor 28 and the new remainder 26,and apply the division lemma to get
28 = 26 x 1 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 578 and 468 is 2
Notice that 2 = HCF(26,2) = HCF(28,26) = HCF(110,28) = HCF(468,110) = HCF(578,468) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 578, 468 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 578, 468?
Answer: HCF of 578, 468 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 578, 468 using Euclid's Algorithm?
Answer: For arbitrary numbers 578, 468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.