Highest Common Factor of 9914, 9072 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 9914, 9072 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9914, 9072 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 9914, 9072 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 9914, 9072 is 2.
HCF(9914, 9072) = 2
HCF of 9914, 9072 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9914, 9072 is 2.
Highest Common Factor of 9914,9072 is 2
Step 1: Since 9914 > 9072, we apply the division lemma to 9914 and 9072, to get
9914 = 9072 x 1 + 842
Step 2: Since the reminder 9072 ≠ 0, we apply division lemma to 842 and 9072, to get
9072 = 842 x 10 + 652
Step 3: We consider the new divisor 842 and the new remainder 652, and apply the division lemma to get
842 = 652 x 1 + 190
We consider the new divisor 652 and the new remainder 190,and apply the division lemma to get
652 = 190 x 3 + 82
We consider the new divisor 190 and the new remainder 82,and apply the division lemma to get
190 = 82 x 2 + 26
We consider the new divisor 82 and the new remainder 26,and apply the division lemma to get
82 = 26 x 3 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 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 9914 and 9072 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(82,26) = HCF(190,82) = HCF(652,190) = HCF(842,652) = HCF(9072,842) = HCF(9914,9072) .
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Frequently Asked Questions on HCF of 9914, 9072 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 9914, 9072?
Answer: HCF of 9914, 9072 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9914, 9072 using Euclid's Algorithm?
Answer: For arbitrary numbers 9914, 9072 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.