Highest Common Factor of 900, 922, 23, 233 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, 922, 23, 233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 900, 922, 23, 233 is 1 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, 922, 23, 233 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, 922, 23, 233 is 1.
HCF(900, 922, 23, 233) = 1
HCF of 900, 922, 23, 233 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, 922, 23, 233 is 1.
Highest Common Factor of 900,922,23,233 is 1
Step 1: Since 922 > 900, we apply the division lemma to 922 and 900, to get
922 = 900 x 1 + 22
Step 2: Since the reminder 900 ≠ 0, we apply division lemma to 22 and 900, to get
900 = 22 x 40 + 20
Step 3: We consider the new divisor 22 and the new remainder 20, and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2, and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 900 and 922 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(900,22) = HCF(922,900) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23 > 2, we apply the division lemma to 23 and 2, to get
23 = 2 x 11 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 23 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 233 > 1, we apply the division lemma to 233 and 1, to get
233 = 1 x 233 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 233 is 1
Notice that 1 = HCF(233,1) .
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, 922, 23, 233 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, 922, 23, 233?
Answer: HCF of 900, 922, 23, 233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 900, 922, 23, 233 using Euclid's Algorithm?
Answer: For arbitrary numbers 900, 922, 23, 233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.