Highest Common Factor of 314, 834, 326 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 314, 834, 326 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 314, 834, 326 is 2 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 314, 834, 326 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 314, 834, 326 is 2.
HCF(314, 834, 326) = 2
HCF of 314, 834, 326 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 314, 834, 326 is 2.
Highest Common Factor of 314,834,326 is 2
Step 1: Since 834 > 314, we apply the division lemma to 834 and 314, to get
834 = 314 x 2 + 206
Step 2: Since the reminder 314 ≠ 0, we apply division lemma to 206 and 314, to get
314 = 206 x 1 + 108
Step 3: We consider the new divisor 206 and the new remainder 108, and apply the division lemma to get
206 = 108 x 1 + 98
We consider the new divisor 108 and the new remainder 98,and apply the division lemma to get
108 = 98 x 1 + 10
We consider the new divisor 98 and the new remainder 10,and apply the division lemma to get
98 = 10 x 9 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 314 and 834 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(98,10) = HCF(108,98) = HCF(206,108) = HCF(314,206) = HCF(834,314) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 326 > 2, we apply the division lemma to 326 and 2, to get
326 = 2 x 163 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 326 is 2
Notice that 2 = HCF(326,2) .
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Frequently Asked Questions on HCF of 314, 834, 326 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 314, 834, 326?
Answer: HCF of 314, 834, 326 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 314, 834, 326 using Euclid's Algorithm?
Answer: For arbitrary numbers 314, 834, 326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.