Highest Common Factor of 8324, 7671 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 8324, 7671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8324, 7671 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 8324, 7671 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 8324, 7671 is 1.
HCF(8324, 7671) = 1
HCF of 8324, 7671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8324, 7671 is 1.
Highest Common Factor of 8324,7671 is 1
Step 1: Since 8324 > 7671, we apply the division lemma to 8324 and 7671, to get
8324 = 7671 x 1 + 653
Step 2: Since the reminder 7671 ≠ 0, we apply division lemma to 653 and 7671, to get
7671 = 653 x 11 + 488
Step 3: We consider the new divisor 653 and the new remainder 488, and apply the division lemma to get
653 = 488 x 1 + 165
We consider the new divisor 488 and the new remainder 165,and apply the division lemma to get
488 = 165 x 2 + 158
We consider the new divisor 165 and the new remainder 158,and apply the division lemma to get
165 = 158 x 1 + 7
We consider the new divisor 158 and the new remainder 7,and apply the division lemma to get
158 = 7 x 22 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8324 and 7671 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(158,7) = HCF(165,158) = HCF(488,165) = HCF(653,488) = HCF(7671,653) = HCF(8324,7671) .
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Frequently Asked Questions on HCF of 8324, 7671 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 8324, 7671?
Answer: HCF of 8324, 7671 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8324, 7671 using Euclid's Algorithm?
Answer: For arbitrary numbers 8324, 7671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
