Highest Common Factor of 280, 86299 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 280, 86299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 280, 86299 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 280, 86299 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 280, 86299 is 1.
HCF(280, 86299) = 1
HCF of 280, 86299 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 280, 86299 is 1.
Highest Common Factor of 280,86299 is 1
Step 1: Since 86299 > 280, we apply the division lemma to 86299 and 280, to get
86299 = 280 x 308 + 59
Step 2: Since the reminder 280 ≠ 0, we apply division lemma to 59 and 280, to get
280 = 59 x 4 + 44
Step 3: We consider the new divisor 59 and the new remainder 44, and apply the division lemma to get
59 = 44 x 1 + 15
We consider the new divisor 44 and the new remainder 15,and apply the division lemma to get
44 = 15 x 2 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 280 and 86299 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(44,15) = HCF(59,44) = HCF(280,59) = HCF(86299,280) .
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Frequently Asked Questions on HCF of 280, 86299 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 280, 86299?
Answer: HCF of 280, 86299 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 280, 86299 using Euclid's Algorithm?
Answer: For arbitrary numbers 280, 86299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.