Highest Common Factor of 5208, 9914 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 5208, 9914 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5208, 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 5208, 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 5208, 9914 is 2.
HCF(5208, 9914) = 2
HCF of 5208, 9914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5208, 9914 is 2.
Highest Common Factor of 5208,9914 is 2
Step 1: Since 9914 > 5208, we apply the division lemma to 9914 and 5208, to get
9914 = 5208 x 1 + 4706
Step 2: Since the reminder 5208 ≠ 0, we apply division lemma to 4706 and 5208, to get
5208 = 4706 x 1 + 502
Step 3: We consider the new divisor 4706 and the new remainder 502, and apply the division lemma to get
4706 = 502 x 9 + 188
We consider the new divisor 502 and the new remainder 188,and apply the division lemma to get
502 = 188 x 2 + 126
We consider the new divisor 188 and the new remainder 126,and apply the division lemma to get
188 = 126 x 1 + 62
We consider the new divisor 126 and the new remainder 62,and apply the division lemma to get
126 = 62 x 2 + 2
We consider the new divisor 62 and the new remainder 2,and apply the division lemma to get
62 = 2 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5208 and 9914 is 2
Notice that 2 = HCF(62,2) = HCF(126,62) = HCF(188,126) = HCF(502,188) = HCF(4706,502) = HCF(5208,4706) = HCF(9914,5208) .
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Frequently Asked Questions on HCF of 5208, 9914 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 5208, 9914?
Answer: HCF of 5208, 9914 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5208, 9914 using Euclid's Algorithm?
Answer: For arbitrary numbers 5208, 9914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
