Highest Common Factor of 8486, 8295 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 8486, 8295 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8486, 8295 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 8486, 8295 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 8486, 8295 is 1.
HCF(8486, 8295) = 1
HCF of 8486, 8295 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8486, 8295 is 1.
Highest Common Factor of 8486,8295 is 1
Step 1: Since 8486 > 8295, we apply the division lemma to 8486 and 8295, to get
8486 = 8295 x 1 + 191
Step 2: Since the reminder 8295 ≠ 0, we apply division lemma to 191 and 8295, to get
8295 = 191 x 43 + 82
Step 3: We consider the new divisor 191 and the new remainder 82, and apply the division lemma to get
191 = 82 x 2 + 27
We consider the new divisor 82 and the new remainder 27,and apply the division lemma to get
82 = 27 x 3 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8486 and 8295 is 1
Notice that 1 = HCF(27,1) = HCF(82,27) = HCF(191,82) = HCF(8295,191) = HCF(8486,8295) .
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Frequently Asked Questions on HCF of 8486, 8295 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 8486, 8295?
Answer: HCF of 8486, 8295 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8486, 8295 using Euclid's Algorithm?
Answer: For arbitrary numbers 8486, 8295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.