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 325, 6033, 2520 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 325, 6033, 2520 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 325, 6033, 2520 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 325, 6033, 2520 is 1.
HCF(325, 6033, 2520) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 325, 6033, 2520 is 1.
Step 1: Since 6033 > 325, we apply the division lemma to 6033 and 325, to get
6033 = 325 x 18 + 183
Step 2: Since the reminder 325 ≠ 0, we apply division lemma to 183 and 325, to get
325 = 183 x 1 + 142
Step 3: We consider the new divisor 183 and the new remainder 142, and apply the division lemma to get
183 = 142 x 1 + 41
We consider the new divisor 142 and the new remainder 41,and apply the division lemma to get
142 = 41 x 3 + 19
We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get
41 = 19 x 2 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 325 and 6033 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(142,41) = HCF(183,142) = HCF(325,183) = HCF(6033,325) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2520 > 1, we apply the division lemma to 2520 and 1, to get
2520 = 1 x 2520 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2520 is 1
Notice that 1 = HCF(2520,1) .
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 325, 6033, 2520?
Answer: HCF of 325, 6033, 2520 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 325, 6033, 2520 using Euclid's Algorithm?
Answer: For arbitrary numbers 325, 6033, 2520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.