Highest Common Factor of 9079, 3378 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 9079, 3378 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9079, 3378 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 9079, 3378 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 9079, 3378 is 1.
HCF(9079, 3378) = 1
HCF of 9079, 3378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9079, 3378 is 1.
Highest Common Factor of 9079,3378 is 1
Step 1: Since 9079 > 3378, we apply the division lemma to 9079 and 3378, to get
9079 = 3378 x 2 + 2323
Step 2: Since the reminder 3378 ≠ 0, we apply division lemma to 2323 and 3378, to get
3378 = 2323 x 1 + 1055
Step 3: We consider the new divisor 2323 and the new remainder 1055, and apply the division lemma to get
2323 = 1055 x 2 + 213
We consider the new divisor 1055 and the new remainder 213,and apply the division lemma to get
1055 = 213 x 4 + 203
We consider the new divisor 213 and the new remainder 203,and apply the division lemma to get
213 = 203 x 1 + 10
We consider the new divisor 203 and the new remainder 10,and apply the division lemma to get
203 = 10 x 20 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 9079 and 3378 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(203,10) = HCF(213,203) = HCF(1055,213) = HCF(2323,1055) = HCF(3378,2323) = HCF(9079,3378) .
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Frequently Asked Questions on HCF of 9079, 3378 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 9079, 3378?
Answer: HCF of 9079, 3378 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9079, 3378 using Euclid's Algorithm?
Answer: For arbitrary numbers 9079, 3378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.