Highest Common Factor of 4309, 3279 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 4309, 3279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4309, 3279 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 4309, 3279 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 4309, 3279 is 1.
HCF(4309, 3279) = 1
HCF of 4309, 3279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4309, 3279 is 1.
Highest Common Factor of 4309,3279 is 1
Step 1: Since 4309 > 3279, we apply the division lemma to 4309 and 3279, to get
4309 = 3279 x 1 + 1030
Step 2: Since the reminder 3279 ≠ 0, we apply division lemma to 1030 and 3279, to get
3279 = 1030 x 3 + 189
Step 3: We consider the new divisor 1030 and the new remainder 189, and apply the division lemma to get
1030 = 189 x 5 + 85
We consider the new divisor 189 and the new remainder 85,and apply the division lemma to get
189 = 85 x 2 + 19
We consider the new divisor 85 and the new remainder 19,and apply the division lemma to get
85 = 19 x 4 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4309 and 3279 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(85,19) = HCF(189,85) = HCF(1030,189) = HCF(3279,1030) = HCF(4309,3279) .
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Frequently Asked Questions on HCF of 4309, 3279 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 4309, 3279?
Answer: HCF of 4309, 3279 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4309, 3279 using Euclid's Algorithm?
Answer: For arbitrary numbers 4309, 3279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.