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 653, 477, 324 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 653, 477, 324 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 653, 477, 324 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 653, 477, 324 is 1.
HCF(653, 477, 324) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 653, 477, 324 is 1.
Step 1: Since 653 > 477, we apply the division lemma to 653 and 477, to get
653 = 477 x 1 + 176
Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 176 and 477, to get
477 = 176 x 2 + 125
Step 3: We consider the new divisor 176 and the new remainder 125, and apply the division lemma to get
176 = 125 x 1 + 51
We consider the new divisor 125 and the new remainder 51,and apply the division lemma to get
125 = 51 x 2 + 23
We consider the new divisor 51 and the new remainder 23,and apply the division lemma to get
51 = 23 x 2 + 5
We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get
23 = 5 x 4 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 653 and 477 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(51,23) = HCF(125,51) = HCF(176,125) = HCF(477,176) = HCF(653,477) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 324 > 1, we apply the division lemma to 324 and 1, to get
324 = 1 x 324 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 324 is 1
Notice that 1 = HCF(324,1) .
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 653, 477, 324?
Answer: HCF of 653, 477, 324 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 653, 477, 324 using Euclid's Algorithm?
Answer: For arbitrary numbers 653, 477, 324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.