Highest Common Factor of 8359, 7836 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 8359, 7836 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8359, 7836 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 8359, 7836 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 8359, 7836 is 1.
HCF(8359, 7836) = 1
HCF of 8359, 7836 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8359, 7836 is 1.
Highest Common Factor of 8359,7836 is 1
Step 1: Since 8359 > 7836, we apply the division lemma to 8359 and 7836, to get
8359 = 7836 x 1 + 523
Step 2: Since the reminder 7836 ≠ 0, we apply division lemma to 523 and 7836, to get
7836 = 523 x 14 + 514
Step 3: We consider the new divisor 523 and the new remainder 514, and apply the division lemma to get
523 = 514 x 1 + 9
We consider the new divisor 514 and the new remainder 9,and apply the division lemma to get
514 = 9 x 57 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8359 and 7836 is 1
Notice that 1 = HCF(9,1) = HCF(514,9) = HCF(523,514) = HCF(7836,523) = HCF(8359,7836) .
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Frequently Asked Questions on HCF of 8359, 7836 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 8359, 7836?
Answer: HCF of 8359, 7836 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8359, 7836 using Euclid's Algorithm?
Answer: For arbitrary numbers 8359, 7836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
