Highest Common Factor of 7601, 9511 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, 9511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7601, 9511 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, 9511 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, 9511 is 1.
HCF(7601, 9511) = 1
HCF of 7601, 9511 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, 9511 is 1.
Highest Common Factor of 7601,9511 is 1
Step 1: Since 9511 > 7601, we apply the division lemma to 9511 and 7601, to get
9511 = 7601 x 1 + 1910
Step 2: Since the reminder 7601 ≠ 0, we apply division lemma to 1910 and 7601, to get
7601 = 1910 x 3 + 1871
Step 3: We consider the new divisor 1910 and the new remainder 1871, and apply the division lemma to get
1910 = 1871 x 1 + 39
We consider the new divisor 1871 and the new remainder 39,and apply the division lemma to get
1871 = 39 x 47 + 38
We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get
39 = 38 x 1 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7601 and 9511 is 1
Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(1871,39) = HCF(1910,1871) = HCF(7601,1910) = HCF(9511,7601) .
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Frequently Asked Questions on HCF of 7601, 9511 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, 9511?
Answer: HCF of 7601, 9511 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7601, 9511 using Euclid's Algorithm?
Answer: For arbitrary numbers 7601, 9511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
