Highest Common Factor of 9411, 2660 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 9411, 2660 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9411, 2660 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 9411, 2660 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 9411, 2660 is 1.
HCF(9411, 2660) = 1
HCF of 9411, 2660 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9411, 2660 is 1.
Highest Common Factor of 9411,2660 is 1
Step 1: Since 9411 > 2660, we apply the division lemma to 9411 and 2660, to get
9411 = 2660 x 3 + 1431
Step 2: Since the reminder 2660 ≠ 0, we apply division lemma to 1431 and 2660, to get
2660 = 1431 x 1 + 1229
Step 3: We consider the new divisor 1431 and the new remainder 1229, and apply the division lemma to get
1431 = 1229 x 1 + 202
We consider the new divisor 1229 and the new remainder 202,and apply the division lemma to get
1229 = 202 x 6 + 17
We consider the new divisor 202 and the new remainder 17,and apply the division lemma to get
202 = 17 x 11 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 9411 and 2660 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(202,17) = HCF(1229,202) = HCF(1431,1229) = HCF(2660,1431) = HCF(9411,2660) .
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Frequently Asked Questions on HCF of 9411, 2660 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 9411, 2660?
Answer: HCF of 9411, 2660 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9411, 2660 using Euclid's Algorithm?
Answer: For arbitrary numbers 9411, 2660 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
