Highest Common Factor of 8325, 3308 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 8325, 3308 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8325, 3308 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 8325, 3308 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 8325, 3308 is 1.
HCF(8325, 3308) = 1
HCF of 8325, 3308 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8325, 3308 is 1.
Highest Common Factor of 8325,3308 is 1
Step 1: Since 8325 > 3308, we apply the division lemma to 8325 and 3308, to get
8325 = 3308 x 2 + 1709
Step 2: Since the reminder 3308 ≠ 0, we apply division lemma to 1709 and 3308, to get
3308 = 1709 x 1 + 1599
Step 3: We consider the new divisor 1709 and the new remainder 1599, and apply the division lemma to get
1709 = 1599 x 1 + 110
We consider the new divisor 1599 and the new remainder 110,and apply the division lemma to get
1599 = 110 x 14 + 59
We consider the new divisor 110 and the new remainder 59,and apply the division lemma to get
110 = 59 x 1 + 51
We consider the new divisor 59 and the new remainder 51,and apply the division lemma to get
59 = 51 x 1 + 8
We consider the new divisor 51 and the new remainder 8,and apply the division lemma to get
51 = 8 x 6 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8325 and 3308 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(51,8) = HCF(59,51) = HCF(110,59) = HCF(1599,110) = HCF(1709,1599) = HCF(3308,1709) = HCF(8325,3308) .
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Frequently Asked Questions on HCF of 8325, 3308 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 8325, 3308?
Answer: HCF of 8325, 3308 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8325, 3308 using Euclid's Algorithm?
Answer: For arbitrary numbers 8325, 3308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.