Highest Common Factor of 905, 957, 212, 129 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 905, 957, 212, 129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 905, 957, 212, 129 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 905, 957, 212, 129 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 905, 957, 212, 129 is 1.
HCF(905, 957, 212, 129) = 1
HCF of 905, 957, 212, 129 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 905, 957, 212, 129 is 1.
Highest Common Factor of 905,957,212,129 is 1
Step 1: Since 957 > 905, we apply the division lemma to 957 and 905, to get
957 = 905 x 1 + 52
Step 2: Since the reminder 905 ≠ 0, we apply division lemma to 52 and 905, to get
905 = 52 x 17 + 21
Step 3: We consider the new divisor 52 and the new remainder 21, and apply the division lemma to get
52 = 21 x 2 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 905 and 957 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(52,21) = HCF(905,52) = HCF(957,905) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 212 > 1, we apply the division lemma to 212 and 1, to get
212 = 1 x 212 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 212 is 1
Notice that 1 = HCF(212,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 129 > 1, we apply the division lemma to 129 and 1, to get
129 = 1 x 129 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 129 is 1
Notice that 1 = HCF(129,1) .
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Frequently Asked Questions on HCF of 905, 957, 212, 129 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 905, 957, 212, 129?
Answer: HCF of 905, 957, 212, 129 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 905, 957, 212, 129 using Euclid's Algorithm?
Answer: For arbitrary numbers 905, 957, 212, 129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.