Highest Common Factor of 1058, 8339 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 1058, 8339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1058, 8339 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 1058, 8339 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 1058, 8339 is 1.
HCF(1058, 8339) = 1
HCF of 1058, 8339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1058, 8339 is 1.
Highest Common Factor of 1058,8339 is 1
Step 1: Since 8339 > 1058, we apply the division lemma to 8339 and 1058, to get
8339 = 1058 x 7 + 933
Step 2: Since the reminder 1058 ≠ 0, we apply division lemma to 933 and 1058, to get
1058 = 933 x 1 + 125
Step 3: We consider the new divisor 933 and the new remainder 125, and apply the division lemma to get
933 = 125 x 7 + 58
We consider the new divisor 125 and the new remainder 58,and apply the division lemma to get
125 = 58 x 2 + 9
We consider the new divisor 58 and the new remainder 9,and apply the division lemma to get
58 = 9 x 6 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1058 and 8339 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(58,9) = HCF(125,58) = HCF(933,125) = HCF(1058,933) = HCF(8339,1058) .
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Frequently Asked Questions on HCF of 1058, 8339 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 1058, 8339?
Answer: HCF of 1058, 8339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1058, 8339 using Euclid's Algorithm?
Answer: For arbitrary numbers 1058, 8339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
