Highest Common Factor of 2410, 9477 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 2410, 9477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2410, 9477 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 2410, 9477 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 2410, 9477 is 1.
HCF(2410, 9477) = 1
HCF of 2410, 9477 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2410, 9477 is 1.
Highest Common Factor of 2410,9477 is 1
Step 1: Since 9477 > 2410, we apply the division lemma to 9477 and 2410, to get
9477 = 2410 x 3 + 2247
Step 2: Since the reminder 2410 ≠ 0, we apply division lemma to 2247 and 2410, to get
2410 = 2247 x 1 + 163
Step 3: We consider the new divisor 2247 and the new remainder 163, and apply the division lemma to get
2247 = 163 x 13 + 128
We consider the new divisor 163 and the new remainder 128,and apply the division lemma to get
163 = 128 x 1 + 35
We consider the new divisor 128 and the new remainder 35,and apply the division lemma to get
128 = 35 x 3 + 23
We consider the new divisor 35 and the new remainder 23,and apply the division lemma to get
35 = 23 x 1 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2410 and 9477 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(35,23) = HCF(128,35) = HCF(163,128) = HCF(2247,163) = HCF(2410,2247) = HCF(9477,2410) .
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Frequently Asked Questions on HCF of 2410, 9477 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 2410, 9477?
Answer: HCF of 2410, 9477 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2410, 9477 using Euclid's Algorithm?
Answer: For arbitrary numbers 2410, 9477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.