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 225, 650, 326, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 225, 650, 326, 83 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 225, 650, 326, 83 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 225, 650, 326, 83 is 1.
HCF(225, 650, 326, 83) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 225, 650, 326, 83 is 1.
Step 1: Since 650 > 225, we apply the division lemma to 650 and 225, to get
650 = 225 x 2 + 200
Step 2: Since the reminder 225 ≠ 0, we apply division lemma to 200 and 225, to get
225 = 200 x 1 + 25
Step 3: We consider the new divisor 200 and the new remainder 25, and apply the division lemma to get
200 = 25 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 225 and 650 is 25
Notice that 25 = HCF(200,25) = HCF(225,200) = HCF(650,225) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 326 > 25, we apply the division lemma to 326 and 25, to get
326 = 25 x 13 + 1
Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 1 and 25, to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 25 and 326 is 1
Notice that 1 = HCF(25,1) = HCF(326,25) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83 > 1, we apply the division lemma to 83 and 1, to get
83 = 1 x 83 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1
Notice that 1 = HCF(83,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 225, 650, 326, 83?
Answer: HCF of 225, 650, 326, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 225, 650, 326, 83 using Euclid's Algorithm?
Answer: For arbitrary numbers 225, 650, 326, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.