Highest Common Factor of 99, 264, 281 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 99, 264, 281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 99, 264, 281 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 99, 264, 281 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 99, 264, 281 is 1.
HCF(99, 264, 281) = 1
HCF of 99, 264, 281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 99, 264, 281 is 1.
Highest Common Factor of 99,264,281 is 1
Step 1: Since 264 > 99, we apply the division lemma to 264 and 99, to get
264 = 99 x 2 + 66
Step 2: Since the reminder 99 ≠ 0, we apply division lemma to 66 and 99, to get
99 = 66 x 1 + 33
Step 3: We consider the new divisor 66 and the new remainder 33, and apply the division lemma to get
66 = 33 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 99 and 264 is 33
Notice that 33 = HCF(66,33) = HCF(99,66) = HCF(264,99) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 281 > 33, we apply the division lemma to 281 and 33, to get
281 = 33 x 8 + 17
Step 2: Since the reminder 33 ≠ 0, we apply division lemma to 17 and 33, to get
33 = 17 x 1 + 16
Step 3: We consider the new divisor 17 and the new remainder 16, and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1, and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 33 and 281 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(281,33) .
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Frequently Asked Questions on HCF of 99, 264, 281 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 99, 264, 281?
Answer: HCF of 99, 264, 281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 99, 264, 281 using Euclid's Algorithm?
Answer: For arbitrary numbers 99, 264, 281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.