Highest Common Factor of 3459, 4608 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 3459, 4608 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3459, 4608 is 3 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 3459, 4608 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 3459, 4608 is 3.
HCF(3459, 4608) = 3
HCF of 3459, 4608 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3459, 4608 is 3.
Highest Common Factor of 3459,4608 is 3
Step 1: Since 4608 > 3459, we apply the division lemma to 4608 and 3459, to get
4608 = 3459 x 1 + 1149
Step 2: Since the reminder 3459 ≠ 0, we apply division lemma to 1149 and 3459, to get
3459 = 1149 x 3 + 12
Step 3: We consider the new divisor 1149 and the new remainder 12, and apply the division lemma to get
1149 = 12 x 95 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3459 and 4608 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(1149,12) = HCF(3459,1149) = HCF(4608,3459) .
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Frequently Asked Questions on HCF of 3459, 4608 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 3459, 4608?
Answer: HCF of 3459, 4608 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3459, 4608 using Euclid's Algorithm?
Answer: For arbitrary numbers 3459, 4608 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.