Highest Common Factor of 9981, 7458 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 9981, 7458 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9981, 7458 is 3 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 9981, 7458 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 9981, 7458 is 3.
HCF(9981, 7458) = 3
HCF of 9981, 7458 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9981, 7458 is 3.
Highest Common Factor of 9981,7458 is 3
Step 1: Since 9981 > 7458, we apply the division lemma to 9981 and 7458, to get
9981 = 7458 x 1 + 2523
Step 2: Since the reminder 7458 ≠ 0, we apply division lemma to 2523 and 7458, to get
7458 = 2523 x 2 + 2412
Step 3: We consider the new divisor 2523 and the new remainder 2412, and apply the division lemma to get
2523 = 2412 x 1 + 111
We consider the new divisor 2412 and the new remainder 111,and apply the division lemma to get
2412 = 111 x 21 + 81
We consider the new divisor 111 and the new remainder 81,and apply the division lemma to get
111 = 81 x 1 + 30
We consider the new divisor 81 and the new remainder 30,and apply the division lemma to get
81 = 30 x 2 + 21
We consider the new divisor 30 and the new remainder 21,and apply the division lemma to get
30 = 21 x 1 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9981 and 7458 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(30,21) = HCF(81,30) = HCF(111,81) = HCF(2412,111) = HCF(2523,2412) = HCF(7458,2523) = HCF(9981,7458) .
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Frequently Asked Questions on HCF of 9981, 7458 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 9981, 7458?
Answer: HCF of 9981, 7458 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9981, 7458 using Euclid's Algorithm?
Answer: For arbitrary numbers 9981, 7458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
