Highest Common Factor of 7601, 9887 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 7601, 9887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7601, 9887 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 7601, 9887 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 7601, 9887 is 1.
HCF(7601, 9887) = 1
HCF of 7601, 9887 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7601, 9887 is 1.
Highest Common Factor of 7601,9887 is 1
Step 1: Since 9887 > 7601, we apply the division lemma to 9887 and 7601, to get
9887 = 7601 x 1 + 2286
Step 2: Since the reminder 7601 ≠ 0, we apply division lemma to 2286 and 7601, to get
7601 = 2286 x 3 + 743
Step 3: We consider the new divisor 2286 and the new remainder 743, and apply the division lemma to get
2286 = 743 x 3 + 57
We consider the new divisor 743 and the new remainder 57,and apply the division lemma to get
743 = 57 x 13 + 2
We consider the new divisor 57 and the new remainder 2,and apply the division lemma to get
57 = 2 x 28 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7601 and 9887 is 1
Notice that 1 = HCF(2,1) = HCF(57,2) = HCF(743,57) = HCF(2286,743) = HCF(7601,2286) = HCF(9887,7601) .
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Frequently Asked Questions on HCF of 7601, 9887 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 7601, 9887?
Answer: HCF of 7601, 9887 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7601, 9887 using Euclid's Algorithm?
Answer: For arbitrary numbers 7601, 9887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.