Highest Common Factor of 8228, 7339 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 8228, 7339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8228, 7339 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 8228, 7339 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 8228, 7339 is 1.
HCF(8228, 7339) = 1
HCF of 8228, 7339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8228, 7339 is 1.
Highest Common Factor of 8228,7339 is 1
Step 1: Since 8228 > 7339, we apply the division lemma to 8228 and 7339, to get
8228 = 7339 x 1 + 889
Step 2: Since the reminder 7339 ≠ 0, we apply division lemma to 889 and 7339, to get
7339 = 889 x 8 + 227
Step 3: We consider the new divisor 889 and the new remainder 227, and apply the division lemma to get
889 = 227 x 3 + 208
We consider the new divisor 227 and the new remainder 208,and apply the division lemma to get
227 = 208 x 1 + 19
We consider the new divisor 208 and the new remainder 19,and apply the division lemma to get
208 = 19 x 10 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8228 and 7339 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(208,19) = HCF(227,208) = HCF(889,227) = HCF(7339,889) = HCF(8228,7339) .
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Frequently Asked Questions on HCF of 8228, 7339 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 8228, 7339?
Answer: HCF of 8228, 7339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8228, 7339 using Euclid's Algorithm?
Answer: For arbitrary numbers 8228, 7339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.