Highest Common Factor of 9842, 7627 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 9842, 7627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9842, 7627 is 1 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 9842, 7627 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 9842, 7627 is 1.
HCF(9842, 7627) = 1
HCF of 9842, 7627 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9842, 7627 is 1.
Highest Common Factor of 9842,7627 is 1
Step 1: Since 9842 > 7627, we apply the division lemma to 9842 and 7627, to get
9842 = 7627 x 1 + 2215
Step 2: Since the reminder 7627 ≠ 0, we apply division lemma to 2215 and 7627, to get
7627 = 2215 x 3 + 982
Step 3: We consider the new divisor 2215 and the new remainder 982, and apply the division lemma to get
2215 = 982 x 2 + 251
We consider the new divisor 982 and the new remainder 251,and apply the division lemma to get
982 = 251 x 3 + 229
We consider the new divisor 251 and the new remainder 229,and apply the division lemma to get
251 = 229 x 1 + 22
We consider the new divisor 229 and the new remainder 22,and apply the division lemma to get
229 = 22 x 10 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9842 and 7627 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(229,22) = HCF(251,229) = HCF(982,251) = HCF(2215,982) = HCF(7627,2215) = HCF(9842,7627) .
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Frequently Asked Questions on HCF of 9842, 7627 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 9842, 7627?
Answer: HCF of 9842, 7627 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9842, 7627 using Euclid's Algorithm?
Answer: For arbitrary numbers 9842, 7627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.