Highest Common Factor of 900, 958, 578 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 900, 958, 578 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 900, 958, 578 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 900, 958, 578 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 900, 958, 578 is 2.
HCF(900, 958, 578) = 2
HCF of 900, 958, 578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 900, 958, 578 is 2.
Highest Common Factor of 900,958,578 is 2
Step 1: Since 958 > 900, we apply the division lemma to 958 and 900, to get
958 = 900 x 1 + 58
Step 2: Since the reminder 900 ≠ 0, we apply division lemma to 58 and 900, to get
900 = 58 x 15 + 30
Step 3: We consider the new divisor 58 and the new remainder 30, and apply the division lemma to get
58 = 30 x 1 + 28
We consider the new divisor 30 and the new remainder 28,and apply the division lemma to get
30 = 28 x 1 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 900 and 958 is 2
Notice that 2 = HCF(28,2) = HCF(30,28) = HCF(58,30) = HCF(900,58) = HCF(958,900) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 578 > 2, we apply the division lemma to 578 and 2, to get
578 = 2 x 289 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 578 is 2
Notice that 2 = HCF(578,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 900, 958, 578 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 900, 958, 578?
Answer: HCF of 900, 958, 578 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 900, 958, 578 using Euclid's Algorithm?
Answer: For arbitrary numbers 900, 958, 578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.