Highest Common Factor of 233, 314, 169, 36 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 233, 314, 169, 36 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 233, 314, 169, 36 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 233, 314, 169, 36 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 233, 314, 169, 36 is 1.
HCF(233, 314, 169, 36) = 1
HCF of 233, 314, 169, 36 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 233, 314, 169, 36 is 1.
Highest Common Factor of 233,314,169,36 is 1
Step 1: Since 314 > 233, we apply the division lemma to 314 and 233, to get
314 = 233 x 1 + 81
Step 2: Since the reminder 233 ≠ 0, we apply division lemma to 81 and 233, to get
233 = 81 x 2 + 71
Step 3: We consider the new divisor 81 and the new remainder 71, and apply the division lemma to get
81 = 71 x 1 + 10
We consider the new divisor 71 and the new remainder 10,and apply the division lemma to get
71 = 10 x 7 + 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 233 and 314 is 1
Notice that 1 = HCF(10,1) = HCF(71,10) = HCF(81,71) = HCF(233,81) = HCF(314,233) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 169 > 1, we apply the division lemma to 169 and 1, to get
169 = 1 x 169 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 169 is 1
Notice that 1 = HCF(169,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36 > 1, we apply the division lemma to 36 and 1, to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36 is 1
Notice that 1 = HCF(36,1) .
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Frequently Asked Questions on HCF of 233, 314, 169, 36 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 233, 314, 169, 36?
Answer: HCF of 233, 314, 169, 36 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 233, 314, 169, 36 using Euclid's Algorithm?
Answer: For arbitrary numbers 233, 314, 169, 36 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.