Highest Common Factor of 8735, 2406 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 8735, 2406 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8735, 2406 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 8735, 2406 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 8735, 2406 is 1.
HCF(8735, 2406) = 1
HCF of 8735, 2406 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8735, 2406 is 1.
Highest Common Factor of 8735,2406 is 1
Step 1: Since 8735 > 2406, we apply the division lemma to 8735 and 2406, to get
8735 = 2406 x 3 + 1517
Step 2: Since the reminder 2406 ≠ 0, we apply division lemma to 1517 and 2406, to get
2406 = 1517 x 1 + 889
Step 3: We consider the new divisor 1517 and the new remainder 889, and apply the division lemma to get
1517 = 889 x 1 + 628
We consider the new divisor 889 and the new remainder 628,and apply the division lemma to get
889 = 628 x 1 + 261
We consider the new divisor 628 and the new remainder 261,and apply the division lemma to get
628 = 261 x 2 + 106
We consider the new divisor 261 and the new remainder 106,and apply the division lemma to get
261 = 106 x 2 + 49
We consider the new divisor 106 and the new remainder 49,and apply the division lemma to get
106 = 49 x 2 + 8
We consider the new divisor 49 and the new remainder 8,and apply the division lemma to get
49 = 8 x 6 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8735 and 2406 is 1
Notice that 1 = HCF(8,1) = HCF(49,8) = HCF(106,49) = HCF(261,106) = HCF(628,261) = HCF(889,628) = HCF(1517,889) = HCF(2406,1517) = HCF(8735,2406) .
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Frequently Asked Questions on HCF of 8735, 2406 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 8735, 2406?
Answer: HCF of 8735, 2406 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8735, 2406 using Euclid's Algorithm?
Answer: For arbitrary numbers 8735, 2406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.