Highest Common Factor of 924, 261, 198, 33 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 924, 261, 198, 33 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 261, 198, 33 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, 261, 198, 33 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, 261, 198, 33 is 3.
HCF(924, 261, 198, 33) = 3
HCF of 924, 261, 198, 33 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 924, 261, 198, 33 is 3.
Highest Common Factor of 924,261,198,33 is 3
Step 1: Since 924 > 261, we apply the division lemma to 924 and 261, to get
924 = 261 x 3 + 141
Step 2: Since the reminder 261 ≠ 0, we apply division lemma to 141 and 261, to get
261 = 141 x 1 + 120
Step 3: We consider the new divisor 141 and the new remainder 120, and apply the division lemma to get
141 = 120 x 1 + 21
We consider the new divisor 120 and the new remainder 21,and apply the division lemma to get
120 = 21 x 5 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 924 and 261 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(120,21) = HCF(141,120) = HCF(261,141) = HCF(924,261) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 198 > 3, we apply the division lemma to 198 and 3, to get
198 = 3 x 66 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 198 is 3
Notice that 3 = HCF(198,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33 > 3, we apply the division lemma to 33 and 3, to get
33 = 3 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 33 is 3
Notice that 3 = HCF(33,3) .
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Frequently Asked Questions on HCF of 924, 261, 198, 33 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 924, 261, 198, 33?
Answer: HCF of 924, 261, 198, 33 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 261, 198, 33 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 261, 198, 33 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.