Highest Common Factor of 8472, 2335 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 8472, 2335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8472, 2335 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 8472, 2335 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 8472, 2335 is 1.
HCF(8472, 2335) = 1
HCF of 8472, 2335 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8472, 2335 is 1.
Highest Common Factor of 8472,2335 is 1
Step 1: Since 8472 > 2335, we apply the division lemma to 8472 and 2335, to get
8472 = 2335 x 3 + 1467
Step 2: Since the reminder 2335 ≠ 0, we apply division lemma to 1467 and 2335, to get
2335 = 1467 x 1 + 868
Step 3: We consider the new divisor 1467 and the new remainder 868, and apply the division lemma to get
1467 = 868 x 1 + 599
We consider the new divisor 868 and the new remainder 599,and apply the division lemma to get
868 = 599 x 1 + 269
We consider the new divisor 599 and the new remainder 269,and apply the division lemma to get
599 = 269 x 2 + 61
We consider the new divisor 269 and the new remainder 61,and apply the division lemma to get
269 = 61 x 4 + 25
We consider the new divisor 61 and the new remainder 25,and apply the division lemma to get
61 = 25 x 2 + 11
We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get
25 = 11 x 2 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8472 and 2335 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(61,25) = HCF(269,61) = HCF(599,269) = HCF(868,599) = HCF(1467,868) = HCF(2335,1467) = HCF(8472,2335) .
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Frequently Asked Questions on HCF of 8472, 2335 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 8472, 2335?
Answer: HCF of 8472, 2335 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8472, 2335 using Euclid's Algorithm?
Answer: For arbitrary numbers 8472, 2335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.