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 924, 555, 468 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 555, 468 is 3 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 924, 555, 468 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 924, 555, 468 is 3.
HCF(924, 555, 468) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 924, 555, 468 is 3.
Step 1: Since 924 > 555, we apply the division lemma to 924 and 555, to get
924 = 555 x 1 + 369
Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 369 and 555, to get
555 = 369 x 1 + 186
Step 3: We consider the new divisor 369 and the new remainder 186, and apply the division lemma to get
369 = 186 x 1 + 183
We consider the new divisor 186 and the new remainder 183,and apply the division lemma to get
186 = 183 x 1 + 3
We consider the new divisor 183 and the new remainder 3,and apply the division lemma to get
183 = 3 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 924 and 555 is 3
Notice that 3 = HCF(183,3) = HCF(186,183) = HCF(369,186) = HCF(555,369) = HCF(924,555) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 468 > 3, we apply the division lemma to 468 and 3, to get
468 = 3 x 156 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 468 is 3
Notice that 3 = HCF(468,3) .
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 924, 555, 468?
Answer: HCF of 924, 555, 468 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 555, 468 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 555, 468 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.