Highest Common Factor of 8030, 279 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 8030, 279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8030, 279 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 8030, 279 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 8030, 279 is 1.
HCF(8030, 279) = 1
HCF of 8030, 279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8030, 279 is 1.
Highest Common Factor of 8030,279 is 1
Step 1: Since 8030 > 279, we apply the division lemma to 8030 and 279, to get
8030 = 279 x 28 + 218
Step 2: Since the reminder 279 ≠ 0, we apply division lemma to 218 and 279, to get
279 = 218 x 1 + 61
Step 3: We consider the new divisor 218 and the new remainder 61, and apply the division lemma to get
218 = 61 x 3 + 35
We consider the new divisor 61 and the new remainder 35,and apply the division lemma to get
61 = 35 x 1 + 26
We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get
35 = 26 x 1 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 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 8030 and 279 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(61,35) = HCF(218,61) = HCF(279,218) = HCF(8030,279) .
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Frequently Asked Questions on HCF of 8030, 279 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 8030, 279?
Answer: HCF of 8030, 279 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8030, 279 using Euclid's Algorithm?
Answer: For arbitrary numbers 8030, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.