Highest Common Factor of 6326, 1914 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 6326, 1914 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6326, 1914 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 6326, 1914 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 6326, 1914 is 2.
HCF(6326, 1914) = 2
HCF of 6326, 1914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6326, 1914 is 2.
Highest Common Factor of 6326,1914 is 2
Step 1: Since 6326 > 1914, we apply the division lemma to 6326 and 1914, to get
6326 = 1914 x 3 + 584
Step 2: Since the reminder 1914 ≠ 0, we apply division lemma to 584 and 1914, to get
1914 = 584 x 3 + 162
Step 3: We consider the new divisor 584 and the new remainder 162, and apply the division lemma to get
584 = 162 x 3 + 98
We consider the new divisor 162 and the new remainder 98,and apply the division lemma to get
162 = 98 x 1 + 64
We consider the new divisor 98 and the new remainder 64,and apply the division lemma to get
98 = 64 x 1 + 34
We consider the new divisor 64 and the new remainder 34,and apply the division lemma to get
64 = 34 x 1 + 30
We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get
34 = 30 x 1 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6326 and 1914 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(64,34) = HCF(98,64) = HCF(162,98) = HCF(584,162) = HCF(1914,584) = HCF(6326,1914) .
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Frequently Asked Questions on HCF of 6326, 1914 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 6326, 1914?
Answer: HCF of 6326, 1914 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6326, 1914 using Euclid's Algorithm?
Answer: For arbitrary numbers 6326, 1914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.