Highest Common Factor of 204, 952, 295 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 204, 952, 295 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 204, 952, 295 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 204, 952, 295 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 204, 952, 295 is 1.
HCF(204, 952, 295) = 1
HCF of 204, 952, 295 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 204, 952, 295 is 1.
Highest Common Factor of 204,952,295 is 1
Step 1: Since 952 > 204, we apply the division lemma to 952 and 204, to get
952 = 204 x 4 + 136
Step 2: Since the reminder 204 ≠ 0, we apply division lemma to 136 and 204, to get
204 = 136 x 1 + 68
Step 3: We consider the new divisor 136 and the new remainder 68, and apply the division lemma to get
136 = 68 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 68, the HCF of 204 and 952 is 68
Notice that 68 = HCF(136,68) = HCF(204,136) = HCF(952,204) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 295 > 68, we apply the division lemma to 295 and 68, to get
295 = 68 x 4 + 23
Step 2: Since the reminder 68 ≠ 0, we apply division lemma to 23 and 68, to get
68 = 23 x 2 + 22
Step 3: We consider the new divisor 23 and the new remainder 22, and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1, and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 68 and 295 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(68,23) = HCF(295,68) .
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Frequently Asked Questions on HCF of 204, 952, 295 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 204, 952, 295?
Answer: HCF of 204, 952, 295 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 204, 952, 295 using Euclid's Algorithm?
Answer: For arbitrary numbers 204, 952, 295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
