Highest Common Factor of 252, 901, 16 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 252, 901, 16 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 252, 901, 16 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 252, 901, 16 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 252, 901, 16 is 1.
HCF(252, 901, 16) = 1
HCF of 252, 901, 16 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 252, 901, 16 is 1.
Highest Common Factor of 252,901,16 is 1
Step 1: Since 901 > 252, we apply the division lemma to 901 and 252, to get
901 = 252 x 3 + 145
Step 2: Since the reminder 252 ≠ 0, we apply division lemma to 145 and 252, to get
252 = 145 x 1 + 107
Step 3: We consider the new divisor 145 and the new remainder 107, and apply the division lemma to get
145 = 107 x 1 + 38
We consider the new divisor 107 and the new remainder 38,and apply the division lemma to get
107 = 38 x 2 + 31
We consider the new divisor 38 and the new remainder 31,and apply the division lemma to get
38 = 31 x 1 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 252 and 901 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(38,31) = HCF(107,38) = HCF(145,107) = HCF(252,145) = HCF(901,252) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16 > 1, we apply the division lemma to 16 and 1, 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 1 and 16 is 1
Notice that 1 = HCF(16,1) .
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Frequently Asked Questions on HCF of 252, 901, 16 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 252, 901, 16?
Answer: HCF of 252, 901, 16 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 252, 901, 16 using Euclid's Algorithm?
Answer: For arbitrary numbers 252, 901, 16 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.