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 6324, 9914 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6324, 9914 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 6324, 9914 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 6324, 9914 is 2.
HCF(6324, 9914) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6324, 9914 is 2.
Step 1: Since 9914 > 6324, we apply the division lemma to 9914 and 6324, to get
9914 = 6324 x 1 + 3590
Step 2: Since the reminder 6324 ≠ 0, we apply division lemma to 3590 and 6324, to get
6324 = 3590 x 1 + 2734
Step 3: We consider the new divisor 3590 and the new remainder 2734, and apply the division lemma to get
3590 = 2734 x 1 + 856
We consider the new divisor 2734 and the new remainder 856,and apply the division lemma to get
2734 = 856 x 3 + 166
We consider the new divisor 856 and the new remainder 166,and apply the division lemma to get
856 = 166 x 5 + 26
We consider the new divisor 166 and the new remainder 26,and apply the division lemma to get
166 = 26 x 6 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 6324 and 9914 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(166,26) = HCF(856,166) = HCF(2734,856) = HCF(3590,2734) = HCF(6324,3590) = HCF(9914,6324) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6324, 9914?
Answer: HCF of 6324, 9914 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6324, 9914 using Euclid's Algorithm?
Answer: For arbitrary numbers 6324, 9914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.