Highest Common Factor of 8297, 7068 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 8297, 7068 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8297, 7068 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 8297, 7068 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 8297, 7068 is 1.
HCF(8297, 7068) = 1
HCF of 8297, 7068 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8297, 7068 is 1.
Highest Common Factor of 8297,7068 is 1
Step 1: Since 8297 > 7068, we apply the division lemma to 8297 and 7068, to get
8297 = 7068 x 1 + 1229
Step 2: Since the reminder 7068 ≠ 0, we apply division lemma to 1229 and 7068, to get
7068 = 1229 x 5 + 923
Step 3: We consider the new divisor 1229 and the new remainder 923, and apply the division lemma to get
1229 = 923 x 1 + 306
We consider the new divisor 923 and the new remainder 306,and apply the division lemma to get
923 = 306 x 3 + 5
We consider the new divisor 306 and the new remainder 5,and apply the division lemma to get
306 = 5 x 61 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8297 and 7068 is 1
Notice that 1 = HCF(5,1) = HCF(306,5) = HCF(923,306) = HCF(1229,923) = HCF(7068,1229) = HCF(8297,7068) .
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Frequently Asked Questions on HCF of 8297, 7068 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 8297, 7068?
Answer: HCF of 8297, 7068 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8297, 7068 using Euclid's Algorithm?
Answer: For arbitrary numbers 8297, 7068 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.